A strange question of values.
11-25-2015
, 04:39 PM
Quote:
The jokers and any instructional cards have been discarded and will not figure into any of our conversation.
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
11-25-2015
, 04:47 PM
Carpal \'Tunnel
Join Date: Mar 2006
Posts: 25,682
Quote:
[redacted text]
Let's please try to go through an example in a few steps through few posts starting with Step One below so that I can try to learn where I'm doing something wrong (it would be nice to see you answer the questions in post #72 to try to help me figure this out also):
STEP ONE:
We have 52 standard playing card decks.
- We randomly draw one card from deck 1 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 2 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 3 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 4 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 5 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 6 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 7 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 8 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 9 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 10 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 11 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 12 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 13 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 14 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 15 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 16 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 17 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 18 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 19 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 20 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 21 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 22 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 23 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 24 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 25 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 26 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 27 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 28 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 29 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 30 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 31 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 32 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 33 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 34 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 35 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 36 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 37 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 38 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 39 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 40 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 42 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 43 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 44 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 45 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 46 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 47 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 48 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 49 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 51 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 52 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
Let's please try to go through an example in a few steps through few posts starting with Step One below so that I can try to learn where I'm doing something wrong (it would be nice to see you answer the questions in post #72 to try to help me figure this out also):
STEP ONE:
We have 52 standard playing card decks.
- We randomly draw one card from deck 1 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 2 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 3 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 4 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 5 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 6 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 7 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 8 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 9 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 10 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 11 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 12 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 13 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 14 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 15 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 16 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 17 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 18 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 19 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 20 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 21 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 22 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 23 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 24 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 25 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 26 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 27 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 28 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 29 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 30 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 31 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 32 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 33 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 34 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 35 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 36 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 37 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 38 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 39 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 40 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 42 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 43 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 44 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 45 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 46 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 47 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 48 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 49 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 51 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 52 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
Quote:
In reply to your scenario,
draw any card from any of the 52 sets/decks of cards, place it on your kitchen counter. the cards by the golden ratio has a 1:52 chance to be any card,
repeat this for another 51 times, each time you draw , each card has the same chance to be any card, the golden constant of 1:52
[redacted text]
draw any card from any of the 52 sets/decks of cards, place it on your kitchen counter. the cards by the golden ratio has a 1:52 chance to be any card,
repeat this for another 51 times, each time you draw , each card has the same chance to be any card, the golden constant of 1:52
[redacted text]
Quote:
Hmmmm .... really? Maybe this is where I start to go wrong.
So it is 1/52 to be the Ac; 1/52 to be the Ad; 1/52 to be the As; 1/52 to be the Ah and 1/52 to be any of the Ac, Ad, As or Ah?
I don't understand.
It seems like if each of the Ah, As, Ad and Ac has a 1/52 chance, then the chance of it being any one of them should be somewhat more than 1/52.
So it is 1/52 to be the Ac; 1/52 to be the Ad; 1/52 to be the As; 1/52 to be the Ah and 1/52 to be any of the Ac, Ad, As or Ah?
I don't understand.
It seems like if each of the Ah, As, Ad and Ac has a 1/52 chance, then the chance of it being any one of them should be somewhat more than 1/52.
Quote:
Quote:
No, I'm afraid I'm not quite following. So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Quote:
Please do not skip ahead; it will only confuse me more. I promise I will get further along, but for now I am only here:
So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Please let us deal with this first and get me to understand it before we move on.
So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Please let us deal with this first and get me to understand it before we move on.
Quote:
I see, I see. I'm afraid I am just not understanding. This must be the part (or at least one part) where I get messed up.
I don't understand how a card can have a 1/52 chance of being each of four different cards (i.e. the Ac, Ad, As and Ah) and at the same time have only a 1/52 chance of being any of the same four cards. It seems like if the card has a greater than 0 chance of being each of four cards, then it should have a greater chance of being any of the four than it has of being a particular one of the four. But you say this isn't true.
It almost seems like the chances of the card being the Ac, the Ad, the As and the Ah should almost like add together or something to get the chance of the card being any one of them.
If you could post an explanation for why there is a 1/52 chance of such card being any of the four cards mentioned above (i.e. the Ac, Ad, As or Ah), maybe that would be helpful.
If I can't wrap my head around this soon, I may have to think about this for a while before continuing.
I don't understand how a card can have a 1/52 chance of being each of four different cards (i.e. the Ac, Ad, As and Ah) and at the same time have only a 1/52 chance of being any of the same four cards. It seems like if the card has a greater than 0 chance of being each of four cards, then it should have a greater chance of being any of the four than it has of being a particular one of the four. But you say this isn't true.
It almost seems like the chances of the card being the Ac, the Ad, the As and the Ah should almost like add together or something to get the chance of the card being any one of them.
If you could post an explanation for why there is a 1/52 chance of such card being any of the four cards mentioned above (i.e. the Ac, Ad, As or Ah), maybe that would be helpful.
If I can't wrap my head around this soon, I may have to think about this for a while before continuing.
Quote:
Unfortunately no because it isn't what I asked about.
Let me back up a second.
The card I have my hand on. What is the chance that it is any one of the below listed cards (not one of such cards in particular but just any one of them)?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Let me back up a second.
The card I have my hand on. What is the chance that it is any one of the below listed cards (not one of such cards in particular but just any one of them)?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Do there exist any cards other than the below listed cards in a standard fifty-two card playing card deck?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
So the card my hand is on is definitely one of the below listed cards? Yes or no?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
The jokers and any instructional cards have been discarded and will not figure into any of our conversation.
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
11-25-2015
, 04:49 PM
Quote:
Hmmmm, how can we say that the card my hand is on must definitely be one of the below listed cards, but that there is only a 1/52 chance that it is one of the below listed cards? If it must definitely be one of the below listed cards, then shouldn't the chance of it being one of the below listed cards be 100%?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
The chance of this is almost zero.
11-25-2015
, 04:54 PM
Carpal \'Tunnel
Join Date: Mar 2006
Posts: 25,682
Quote:
[redacted text]
Let's please try to go through an example in a few steps through few posts starting with Step One below so that I can try to learn where I'm doing something wrong (it would be nice to see you answer the questions in post #72 to try to help me figure this out also):
STEP ONE:
We have 52 standard playing card decks.
- We randomly draw one card from deck 1 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 2 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 3 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 4 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 5 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 6 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 7 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 8 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 9 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 10 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 11 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 12 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 13 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 14 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 15 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 16 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 17 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 18 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 19 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 20 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 21 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 22 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 23 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 24 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 25 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 26 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 27 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 28 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 29 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 30 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 31 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 32 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 33 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 34 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 35 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 36 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 37 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 38 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 39 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 40 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 42 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 43 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 44 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 45 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 46 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 47 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 48 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 49 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 51 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 52 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
Let's please try to go through an example in a few steps through few posts starting with Step One below so that I can try to learn where I'm doing something wrong (it would be nice to see you answer the questions in post #72 to try to help me figure this out also):
STEP ONE:
We have 52 standard playing card decks.
- We randomly draw one card from deck 1 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 2 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 3 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 4 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 5 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 6 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 7 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 8 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 9 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 10 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 11 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 12 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 13 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 14 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 15 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 16 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 17 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 18 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 19 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 20 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 21 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 22 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 23 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 24 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 25 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 26 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 27 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 28 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 29 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 30 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 31 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 32 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 33 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 34 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 35 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 36 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 37 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 38 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 39 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 40 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 42 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 43 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 44 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 45 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 46 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 47 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 48 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 49 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 51 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 52 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
Quote:
In reply to your scenario,
draw any card from any of the 52 sets/decks of cards, place it on your kitchen counter. the cards by the golden ratio has a 1:52 chance to be any card,
repeat this for another 51 times, each time you draw , each card has the same chance to be any card, the golden constant of 1:52
[redacted text]
draw any card from any of the 52 sets/decks of cards, place it on your kitchen counter. the cards by the golden ratio has a 1:52 chance to be any card,
repeat this for another 51 times, each time you draw , each card has the same chance to be any card, the golden constant of 1:52
[redacted text]
Quote:
Hmmmm .... really? Maybe this is where I start to go wrong.
So it is 1/52 to be the Ac; 1/52 to be the Ad; 1/52 to be the As; 1/52 to be the Ah and 1/52 to be any of the Ac, Ad, As or Ah?
I don't understand.
It seems like if each of the Ah, As, Ad and Ac has a 1/52 chance, then the chance of it being any one of them should be somewhat more than 1/52.
So it is 1/52 to be the Ac; 1/52 to be the Ad; 1/52 to be the As; 1/52 to be the Ah and 1/52 to be any of the Ac, Ad, As or Ah?
I don't understand.
It seems like if each of the Ah, As, Ad and Ac has a 1/52 chance, then the chance of it being any one of them should be somewhat more than 1/52.
Quote:
Quote:
No, I'm afraid I'm not quite following. So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Quote:
Please do not skip ahead; it will only confuse me more. I promise I will get further along, but for now I am only here:
So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Please let us deal with this first and get me to understand it before we move on.
So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Please let us deal with this first and get me to understand it before we move on.
Quote:
I see, I see. I'm afraid I am just not understanding. This must be the part (or at least one part) where I get messed up.
I don't understand how a card can have a 1/52 chance of being each of four different cards (i.e. the Ac, Ad, As and Ah) and at the same time have only a 1/52 chance of being any of the same four cards. It seems like if the card has a greater than 0 chance of being each of four cards, then it should have a greater chance of being any of the four than it has of being a particular one of the four. But you say this isn't true.
It almost seems like the chances of the card being the Ac, the Ad, the As and the Ah should almost like add together or something to get the chance of the card being any one of them.
If you could post an explanation for why there is a 1/52 chance of such card being any of the four cards mentioned above (i.e. the Ac, Ad, As or Ah), maybe that would be helpful.
If I can't wrap my head around this soon, I may have to think about this for a while before continuing.
I don't understand how a card can have a 1/52 chance of being each of four different cards (i.e. the Ac, Ad, As and Ah) and at the same time have only a 1/52 chance of being any of the same four cards. It seems like if the card has a greater than 0 chance of being each of four cards, then it should have a greater chance of being any of the four than it has of being a particular one of the four. But you say this isn't true.
It almost seems like the chances of the card being the Ac, the Ad, the As and the Ah should almost like add together or something to get the chance of the card being any one of them.
If you could post an explanation for why there is a 1/52 chance of such card being any of the four cards mentioned above (i.e. the Ac, Ad, As or Ah), maybe that would be helpful.
If I can't wrap my head around this soon, I may have to think about this for a while before continuing.
Quote:
Unfortunately no because it isn't what I asked about.
Let me back up a second.
The card I have my hand on. What is the chance that it is any one of the below listed cards (not one of such cards in particular but just any one of them)?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Let me back up a second.
The card I have my hand on. What is the chance that it is any one of the below listed cards (not one of such cards in particular but just any one of them)?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Do there exist any cards other than the below listed cards in a standard fifty-two card playing card deck?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
So the card my hand is on is definitely one of the below listed cards? Yes or no?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
The jokers and any instructional cards have been discarded and will not figure into any of our conversation.
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Hmmmm, how can we say that the card my hand is on must definitely be one of the below listed cards, but that there is only a 1/52 chance that it is one of the below listed cards? If it must definitely be one of the below listed cards, then shouldn't the chance of it being one of the below listed cards be 100%?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Are the 2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah all of the cards that exist in a standard playing card deck?
Is there a 100% chance or a 1/52 chance or neither that the card my hand is on one of the following?: 2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
11-25-2015
, 04:58 PM
Quote:
This was nonresponsive.
Are the 2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah all of the cards that exist in a standard playing card deck?
Is there a 100% chance or a 1/52 chance or neither that the card my hand is on one of the following?: 2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Are the 2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah all of the cards that exist in a standard playing card deck?
Is there a 100% chance or a 1/52 chance or neither that the card my hand is on one of the following?: 2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
11-25-2015
, 04:58 PM
Carpal \'Tunnel
Join Date: Mar 2006
Posts: 25,682
Quote:
[redacted text]
Let's please try to go through an example in a few steps through few posts starting with Step One below so that I can try to learn where I'm doing something wrong (it would be nice to see you answer the questions in post #72 to try to help me figure this out also):
STEP ONE:
We have 52 standard playing card decks.
- We randomly draw one card from deck 1 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 2 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 3 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 4 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 5 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 6 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 7 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 8 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 9 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 10 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 11 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 12 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 13 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 14 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 15 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 16 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 17 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 18 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 19 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 20 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 21 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 22 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 23 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 24 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 25 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 26 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 27 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 28 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 29 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 30 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 31 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 32 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 33 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 34 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 35 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 36 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 37 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 38 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 39 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 40 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 42 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 43 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 44 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 45 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 46 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 47 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 48 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 49 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 51 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 52 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
Let's please try to go through an example in a few steps through few posts starting with Step One below so that I can try to learn where I'm doing something wrong (it would be nice to see you answer the questions in post #72 to try to help me figure this out also):
STEP ONE:
We have 52 standard playing card decks.
- We randomly draw one card from deck 1 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 2 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 3 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 4 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 5 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 6 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 7 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 8 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 9 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 10 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 11 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 12 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 13 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 14 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 15 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 16 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 17 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 18 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 19 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 20 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 21 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 22 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 23 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 24 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 25 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 26 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 27 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 28 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 29 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 30 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 31 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 32 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 33 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 34 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 35 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 36 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 37 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 38 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 39 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 40 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 42 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 43 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 44 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 45 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 46 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 47 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 48 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 49 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 51 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 52 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
Quote:
In reply to your scenario,
draw any card from any of the 52 sets/decks of cards, place it on your kitchen counter. the cards by the golden ratio has a 1:52 chance to be any card,
repeat this for another 51 times, each time you draw , each card has the same chance to be any card, the golden constant of 1:52
[redacted text]
draw any card from any of the 52 sets/decks of cards, place it on your kitchen counter. the cards by the golden ratio has a 1:52 chance to be any card,
repeat this for another 51 times, each time you draw , each card has the same chance to be any card, the golden constant of 1:52
[redacted text]
Quote:
Hmmmm .... really? Maybe this is where I start to go wrong.
So it is 1/52 to be the Ac; 1/52 to be the Ad; 1/52 to be the As; 1/52 to be the Ah and 1/52 to be any of the Ac, Ad, As or Ah?
I don't understand.
It seems like if each of the Ah, As, Ad and Ac has a 1/52 chance, then the chance of it being any one of them should be somewhat more than 1/52.
So it is 1/52 to be the Ac; 1/52 to be the Ad; 1/52 to be the As; 1/52 to be the Ah and 1/52 to be any of the Ac, Ad, As or Ah?
I don't understand.
It seems like if each of the Ah, As, Ad and Ac has a 1/52 chance, then the chance of it being any one of them should be somewhat more than 1/52.
Quote:
Quote:
No, I'm afraid I'm not quite following. So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Quote:
Please do not skip ahead; it will only confuse me more. I promise I will get further along, but for now I am only here:
So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Please let us deal with this first and get me to understand it before we move on.
So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Please let us deal with this first and get me to understand it before we move on.
Quote:
I see, I see. I'm afraid I am just not understanding. This must be the part (or at least one part) where I get messed up.
I don't understand how a card can have a 1/52 chance of being each of four different cards (i.e. the Ac, Ad, As and Ah) and at the same time have only a 1/52 chance of being any of the same four cards. It seems like if the card has a greater than 0 chance of being each of four cards, then it should have a greater chance of being any of the four than it has of being a particular one of the four. But you say this isn't true.
It almost seems like the chances of the card being the Ac, the Ad, the As and the Ah should almost like add together or something to get the chance of the card being any one of them.
If you could post an explanation for why there is a 1/52 chance of such card being any of the four cards mentioned above (i.e. the Ac, Ad, As or Ah), maybe that would be helpful.
If I can't wrap my head around this soon, I may have to think about this for a while before continuing.
I don't understand how a card can have a 1/52 chance of being each of four different cards (i.e. the Ac, Ad, As and Ah) and at the same time have only a 1/52 chance of being any of the same four cards. It seems like if the card has a greater than 0 chance of being each of four cards, then it should have a greater chance of being any of the four than it has of being a particular one of the four. But you say this isn't true.
It almost seems like the chances of the card being the Ac, the Ad, the As and the Ah should almost like add together or something to get the chance of the card being any one of them.
If you could post an explanation for why there is a 1/52 chance of such card being any of the four cards mentioned above (i.e. the Ac, Ad, As or Ah), maybe that would be helpful.
If I can't wrap my head around this soon, I may have to think about this for a while before continuing.
Quote:
Unfortunately no because it isn't what I asked about.
Let me back up a second.
The card I have my hand on. What is the chance that it is any one of the below listed cards (not one of such cards in particular but just any one of them)?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Let me back up a second.
The card I have my hand on. What is the chance that it is any one of the below listed cards (not one of such cards in particular but just any one of them)?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Do there exist any cards other than the below listed cards in a standard fifty-two card playing card deck?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
So the card my hand is on is definitely one of the below listed cards? Yes or no?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
The jokers and any instructional cards have been discarded and will not figure into any of our conversation.
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Hmmmm, how can we say that the card my hand is on must definitely be one of the below listed cards, but that there is only a 1/52 chance that it is one of the below listed cards? If it must definitely be one of the below listed cards, then shouldn't the chance of it being one of the below listed cards be 100%?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
This was nonresponsive.
Are the 2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah all of the cards that exist in a standard playing card deck?
Is there a 100% chance or a 1/52 chance or neither that the card my hand is on one of the following?: 2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Are the 2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah all of the cards that exist in a standard playing card deck?
Is there a 100% chance or a 1/52 chance or neither that the card my hand is on one of the following?: 2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Is the card my hand is on a card?
11-25-2015
, 04:59 PM
11-25-2015
, 05:01 PM
11-25-2015
, 05:05 PM
Carpal \'Tunnel
Join Date: Mar 2006
Posts: 25,682
Quote:
[redacted text]
Let's please try to go through an example in a few steps through few posts starting with Step One below so that I can try to learn where I'm doing something wrong (it would be nice to see you answer the questions in post #72 to try to help me figure this out also):
STEP ONE:
We have 52 standard playing card decks.
- We randomly draw one card from deck 1 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 2 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 3 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 4 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 5 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 6 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 7 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 8 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 9 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 10 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 11 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 12 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 13 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 14 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 15 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 16 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 17 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 18 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 19 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 20 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 21 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 22 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 23 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 24 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 25 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 26 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 27 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 28 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 29 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 30 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 31 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 32 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 33 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 34 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 35 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 36 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 37 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 38 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 39 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 40 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 42 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 43 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 44 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 45 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 46 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 47 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 48 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 49 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 51 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 52 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
Let's please try to go through an example in a few steps through few posts starting with Step One below so that I can try to learn where I'm doing something wrong (it would be nice to see you answer the questions in post #72 to try to help me figure this out also):
STEP ONE:
We have 52 standard playing card decks.
- We randomly draw one card from deck 1 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 2 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 3 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 4 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 5 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 6 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 7 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 8 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 9 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 10 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 11 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 12 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 13 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 14 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 15 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 16 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 17 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 18 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 19 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 20 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 21 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 22 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 23 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 24 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 25 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 26 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 27 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 28 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 29 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 30 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 31 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 32 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 33 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 34 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 35 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 36 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 37 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 38 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 39 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 40 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 42 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 43 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 44 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 45 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 46 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 47 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 48 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 49 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 51 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 52 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
Quote:
In reply to your scenario,
draw any card from any of the 52 sets/decks of cards, place it on your kitchen counter. the cards by the golden ratio has a 1:52 chance to be any card,
repeat this for another 51 times, each time you draw , each card has the same chance to be any card, the golden constant of 1:52
[redacted text]
draw any card from any of the 52 sets/decks of cards, place it on your kitchen counter. the cards by the golden ratio has a 1:52 chance to be any card,
repeat this for another 51 times, each time you draw , each card has the same chance to be any card, the golden constant of 1:52
[redacted text]
Quote:
Hmmmm .... really? Maybe this is where I start to go wrong.
So it is 1/52 to be the Ac; 1/52 to be the Ad; 1/52 to be the As; 1/52 to be the Ah and 1/52 to be any of the Ac, Ad, As or Ah?
I don't understand.
It seems like if each of the Ah, As, Ad and Ac has a 1/52 chance, then the chance of it being any one of them should be somewhat more than 1/52.
So it is 1/52 to be the Ac; 1/52 to be the Ad; 1/52 to be the As; 1/52 to be the Ah and 1/52 to be any of the Ac, Ad, As or Ah?
I don't understand.
It seems like if each of the Ah, As, Ad and Ac has a 1/52 chance, then the chance of it being any one of them should be somewhat more than 1/52.
Quote:
Quote:
No, I'm afraid I'm not quite following. So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Quote:
Please do not skip ahead; it will only confuse me more. I promise I will get further along, but for now I am only here:
So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Please let us deal with this first and get me to understand it before we move on.
So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Please let us deal with this first and get me to understand it before we move on.
Quote:
I see, I see. I'm afraid I am just not understanding. This must be the part (or at least one part) where I get messed up.
I don't understand how a card can have a 1/52 chance of being each of four different cards (i.e. the Ac, Ad, As and Ah) and at the same time have only a 1/52 chance of being any of the same four cards. It seems like if the card has a greater than 0 chance of being each of four cards, then it should have a greater chance of being any of the four than it has of being a particular one of the four. But you say this isn't true.
It almost seems like the chances of the card being the Ac, the Ad, the As and the Ah should almost like add together or something to get the chance of the card being any one of them.
If you could post an explanation for why there is a 1/52 chance of such card being any of the four cards mentioned above (i.e. the Ac, Ad, As or Ah), maybe that would be helpful.
If I can't wrap my head around this soon, I may have to think about this for a while before continuing.
I don't understand how a card can have a 1/52 chance of being each of four different cards (i.e. the Ac, Ad, As and Ah) and at the same time have only a 1/52 chance of being any of the same four cards. It seems like if the card has a greater than 0 chance of being each of four cards, then it should have a greater chance of being any of the four than it has of being a particular one of the four. But you say this isn't true.
It almost seems like the chances of the card being the Ac, the Ad, the As and the Ah should almost like add together or something to get the chance of the card being any one of them.
If you could post an explanation for why there is a 1/52 chance of such card being any of the four cards mentioned above (i.e. the Ac, Ad, As or Ah), maybe that would be helpful.
If I can't wrap my head around this soon, I may have to think about this for a while before continuing.
Quote:
Unfortunately no because it isn't what I asked about.
Let me back up a second.
The card I have my hand on. What is the chance that it is any one of the below listed cards (not one of such cards in particular but just any one of them)?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Let me back up a second.
The card I have my hand on. What is the chance that it is any one of the below listed cards (not one of such cards in particular but just any one of them)?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Do there exist any cards other than the below listed cards in a standard fifty-two card playing card deck?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
So the card my hand is on is definitely one of the below listed cards? Yes or no?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
The jokers and any instructional cards have been discarded and will not figure into any of our conversation.
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Hmmmm, how can we say that the card my hand is on must definitely be one of the below listed cards, but that there is only a 1/52 chance that it is one of the below listed cards? If it must definitely be one of the below listed cards, then shouldn't the chance of it being one of the below listed cards be 100%?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
11-25-2015
, 05:06 PM
Quote:
Ok. So do we now agree that the card my hand is on has a 1/52 chance to be any particular one of the below listed cards, but has a 100%, or 52/52 chance, to be one of the below listed cards without regard to which one?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
11-25-2015
, 05:08 PM
Carpal \'Tunnel
Join Date: Mar 2006
Posts: 25,682
Quote:
[redacted text]
Let's please try to go through an example in a few steps through few posts starting with Step One below so that I can try to learn where I'm doing something wrong (it would be nice to see you answer the questions in post #72 to try to help me figure this out also):
STEP ONE:
We have 52 standard playing card decks.
- We randomly draw one card from deck 1 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 2 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 3 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 4 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 5 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 6 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 7 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 8 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 9 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 10 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 11 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 12 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 13 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 14 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 15 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 16 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 17 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 18 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 19 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 20 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 21 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 22 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 23 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 24 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 25 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 26 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 27 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 28 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 29 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 30 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 31 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 32 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 33 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 34 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 35 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 36 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 37 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 38 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 39 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 40 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 42 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 43 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 44 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 45 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 46 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 47 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 48 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 49 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 51 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 52 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
Let's please try to go through an example in a few steps through few posts starting with Step One below so that I can try to learn where I'm doing something wrong (it would be nice to see you answer the questions in post #72 to try to help me figure this out also):
STEP ONE:
We have 52 standard playing card decks.
- We randomly draw one card from deck 1 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 2 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 3 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 4 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 5 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 6 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 7 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 8 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 9 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 10 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 11 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 12 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 13 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 14 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 15 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 16 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 17 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 18 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 19 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 20 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 21 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 22 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 23 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 24 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 25 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 26 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 27 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 28 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 29 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 30 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 31 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 32 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 33 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 34 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 35 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 36 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 37 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 38 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 39 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 40 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 42 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 43 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 44 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 45 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 46 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 47 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 48 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 49 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 51 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 52 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
Quote:
In reply to your scenario,
draw any card from any of the 52 sets/decks of cards, place it on your kitchen counter. the cards by the golden ratio has a 1:52 chance to be any card,
repeat this for another 51 times, each time you draw , each card has the same chance to be any card, the golden constant of 1:52
[redacted text]
draw any card from any of the 52 sets/decks of cards, place it on your kitchen counter. the cards by the golden ratio has a 1:52 chance to be any card,
repeat this for another 51 times, each time you draw , each card has the same chance to be any card, the golden constant of 1:52
[redacted text]
Quote:
Hmmmm .... really? Maybe this is where I start to go wrong.
So it is 1/52 to be the Ac; 1/52 to be the Ad; 1/52 to be the As; 1/52 to be the Ah and 1/52 to be any of the Ac, Ad, As or Ah?
I don't understand.
It seems like if each of the Ah, As, Ad and Ac has a 1/52 chance, then the chance of it being any one of them should be somewhat more than 1/52.
So it is 1/52 to be the Ac; 1/52 to be the Ad; 1/52 to be the As; 1/52 to be the Ah and 1/52 to be any of the Ac, Ad, As or Ah?
I don't understand.
It seems like if each of the Ah, As, Ad and Ac has a 1/52 chance, then the chance of it being any one of them should be somewhat more than 1/52.
Quote:
Quote:
No, I'm afraid I'm not quite following. So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Quote:
Please do not skip ahead; it will only confuse me more. I promise I will get further along, but for now I am only here:
So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Please let us deal with this first and get me to understand it before we move on.
So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Please let us deal with this first and get me to understand it before we move on.
Quote:
I see, I see. I'm afraid I am just not understanding. This must be the part (or at least one part) where I get messed up.
I don't understand how a card can have a 1/52 chance of being each of four different cards (i.e. the Ac, Ad, As and Ah) and at the same time have only a 1/52 chance of being any of the same four cards. It seems like if the card has a greater than 0 chance of being each of four cards, then it should have a greater chance of being any of the four than it has of being a particular one of the four. But you say this isn't true.
It almost seems like the chances of the card being the Ac, the Ad, the As and the Ah should almost like add together or something to get the chance of the card being any one of them.
If you could post an explanation for why there is a 1/52 chance of such card being any of the four cards mentioned above (i.e. the Ac, Ad, As or Ah), maybe that would be helpful.
If I can't wrap my head around this soon, I may have to think about this for a while before continuing.
I don't understand how a card can have a 1/52 chance of being each of four different cards (i.e. the Ac, Ad, As and Ah) and at the same time have only a 1/52 chance of being any of the same four cards. It seems like if the card has a greater than 0 chance of being each of four cards, then it should have a greater chance of being any of the four than it has of being a particular one of the four. But you say this isn't true.
It almost seems like the chances of the card being the Ac, the Ad, the As and the Ah should almost like add together or something to get the chance of the card being any one of them.
If you could post an explanation for why there is a 1/52 chance of such card being any of the four cards mentioned above (i.e. the Ac, Ad, As or Ah), maybe that would be helpful.
If I can't wrap my head around this soon, I may have to think about this for a while before continuing.
Quote:
Unfortunately no because it isn't what I asked about.
Let me back up a second.
The card I have my hand on. What is the chance that it is any one of the below listed cards (not one of such cards in particular but just any one of them)?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Let me back up a second.
The card I have my hand on. What is the chance that it is any one of the below listed cards (not one of such cards in particular but just any one of them)?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Do there exist any cards other than the below listed cards in a standard fifty-two card playing card deck?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
So the card my hand is on is definitely one of the below listed cards? Yes or no?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
The jokers and any instructional cards have been discarded and will not figure into any of our conversation.
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Hmmmm, how can we say that the card my hand is on must definitely be one of the below listed cards, but that there is only a 1/52 chance that it is one of the below listed cards? If it must definitely be one of the below listed cards, then shouldn't the chance of it being one of the below listed cards be 100%?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Ok. So do we now agree that the card my hand is on has a 1/52 chance to be any particular one of the below listed cards, but has a 100%, or 52/52 chance, to be one of the below listed cards without regard to which one?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
If so, what are the chances that the card my hand is on is any one of the below listed cards without regard to which one?
Ac, As, Ad, Ah
11-25-2015
, 05:10 PM
Quote:
And do we still agree that the card my hand is on has a 1/52 chance of being the Ac, a 1/52 chance of being the Ad, a 1/52 chance of being the Ah and a 1/52 chance of being the As?
If so, what are the chances that the card my hand is on is any one of the below listed cards without regard to which one?
Ac, As, Ad, Ah
If so, what are the chances that the card my hand is on is any one of the below listed cards without regard to which one?
Ac, As, Ad, Ah
11-25-2015
, 05:12 PM
Carpal \'Tunnel
Join Date: Mar 2006
Posts: 25,682
Quote:
[redacted text]
Let's please try to go through an example in a few steps through few posts starting with Step One below so that I can try to learn where I'm doing something wrong (it would be nice to see you answer the questions in post #72 to try to help me figure this out also):
STEP ONE:
We have 52 standard playing card decks.
- We randomly draw one card from deck 1 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 2 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 3 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 4 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 5 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 6 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 7 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 8 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 9 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 10 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 11 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 12 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 13 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 14 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 15 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 16 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 17 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 18 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 19 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 20 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 21 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 22 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 23 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 24 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 25 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 26 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 27 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 28 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 29 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 30 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 31 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 32 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 33 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 34 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 35 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 36 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 37 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 38 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 39 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 40 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 42 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 43 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 44 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 45 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 46 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 47 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 48 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 49 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 51 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 52 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
Let's please try to go through an example in a few steps through few posts starting with Step One below so that I can try to learn where I'm doing something wrong (it would be nice to see you answer the questions in post #72 to try to help me figure this out also):
STEP ONE:
We have 52 standard playing card decks.
- We randomly draw one card from deck 1 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 2 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 3 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 4 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 5 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 6 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 7 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 8 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 9 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 10 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 11 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 12 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 13 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 14 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 15 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 16 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 17 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 18 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 19 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 20 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 21 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 22 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 23 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 24 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 25 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 26 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 27 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 28 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 29 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 30 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 31 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 32 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 33 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 34 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 35 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 36 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 37 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 38 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 39 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 40 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 42 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 43 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 44 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 45 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 46 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 47 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 48 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 49 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 51 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 52 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
Quote:
In reply to your scenario,
draw any card from any of the 52 sets/decks of cards, place it on your kitchen counter. the cards by the golden ratio has a 1:52 chance to be any card,
repeat this for another 51 times, each time you draw , each card has the same chance to be any card, the golden constant of 1:52
[redacted text]
draw any card from any of the 52 sets/decks of cards, place it on your kitchen counter. the cards by the golden ratio has a 1:52 chance to be any card,
repeat this for another 51 times, each time you draw , each card has the same chance to be any card, the golden constant of 1:52
[redacted text]
Quote:
Hmmmm .... really? Maybe this is where I start to go wrong.
So it is 1/52 to be the Ac; 1/52 to be the Ad; 1/52 to be the As; 1/52 to be the Ah and 1/52 to be any of the Ac, Ad, As or Ah?
I don't understand.
It seems like if each of the Ah, As, Ad and Ac has a 1/52 chance, then the chance of it being any one of them should be somewhat more than 1/52.
So it is 1/52 to be the Ac; 1/52 to be the Ad; 1/52 to be the As; 1/52 to be the Ah and 1/52 to be any of the Ac, Ad, As or Ah?
I don't understand.
It seems like if each of the Ah, As, Ad and Ac has a 1/52 chance, then the chance of it being any one of them should be somewhat more than 1/52.
Quote:
Quote:
No, I'm afraid I'm not quite following. So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Quote:
Please do not skip ahead; it will only confuse me more. I promise I will get further along, but for now I am only here:
So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Please let us deal with this first and get me to understand it before we move on.
So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Please let us deal with this first and get me to understand it before we move on.
Quote:
I see, I see. I'm afraid I am just not understanding. This must be the part (or at least one part) where I get messed up.
I don't understand how a card can have a 1/52 chance of being each of four different cards (i.e. the Ac, Ad, As and Ah) and at the same time have only a 1/52 chance of being any of the same four cards. It seems like if the card has a greater than 0 chance of being each of four cards, then it should have a greater chance of being any of the four than it has of being a particular one of the four. But you say this isn't true.
It almost seems like the chances of the card being the Ac, the Ad, the As and the Ah should almost like add together or something to get the chance of the card being any one of them.
If you could post an explanation for why there is a 1/52 chance of such card being any of the four cards mentioned above (i.e. the Ac, Ad, As or Ah), maybe that would be helpful.
If I can't wrap my head around this soon, I may have to think about this for a while before continuing.
I don't understand how a card can have a 1/52 chance of being each of four different cards (i.e. the Ac, Ad, As and Ah) and at the same time have only a 1/52 chance of being any of the same four cards. It seems like if the card has a greater than 0 chance of being each of four cards, then it should have a greater chance of being any of the four than it has of being a particular one of the four. But you say this isn't true.
It almost seems like the chances of the card being the Ac, the Ad, the As and the Ah should almost like add together or something to get the chance of the card being any one of them.
If you could post an explanation for why there is a 1/52 chance of such card being any of the four cards mentioned above (i.e. the Ac, Ad, As or Ah), maybe that would be helpful.
If I can't wrap my head around this soon, I may have to think about this for a while before continuing.
Quote:
Unfortunately no because it isn't what I asked about.
Let me back up a second.
The card I have my hand on. What is the chance that it is any one of the below listed cards (not one of such cards in particular but just any one of them)?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Let me back up a second.
The card I have my hand on. What is the chance that it is any one of the below listed cards (not one of such cards in particular but just any one of them)?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Do there exist any cards other than the below listed cards in a standard fifty-two card playing card deck?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
So the card my hand is on is definitely one of the below listed cards? Yes or no?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
The jokers and any instructional cards have been discarded and will not figure into any of our conversation.
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Hmmmm, how can we say that the card my hand is on must definitely be one of the below listed cards, but that there is only a 1/52 chance that it is one of the below listed cards? If it must definitely be one of the below listed cards, then shouldn't the chance of it being one of the below listed cards be 100%?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Ok. So do we now agree that the card my hand is on has a 1/52 chance to be any particular one of the below listed cards, but has a 100%, or 52/52 chance, to be one of the below listed cards without regard to which one?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
And do we still agree that the card my hand is on has a 1/52 chance of being the Ac, a 1/52 chance of being the Ad, a 1/52 chance of being the Ah and a 1/52 chance of being the As?
If so, what are the chances that the card my hand is on is any one of the below listed cards without regard to which one?
Ac, As, Ad, Ah
If so, what are the chances that the card my hand is on is any one of the below listed cards without regard to which one?
Ac, As, Ad, Ah
What are the chances that the card my hand is on is any one of the below listed cards without regard to which one?
Ac, As, Ad, Ah, 2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h
11-25-2015
, 05:13 PM
11-25-2015
, 05:15 PM
Carpal \'Tunnel
Join Date: Mar 2006
Posts: 25,682
Quote:
[redacted text]
Let's please try to go through an example in a few steps through few posts starting with Step One below so that I can try to learn where I'm doing something wrong (it would be nice to see you answer the questions in post #72 to try to help me figure this out also):
STEP ONE:
We have 52 standard playing card decks.
- We randomly draw one card from deck 1 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 2 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 3 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 4 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 5 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 6 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 7 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 8 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 9 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 10 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 11 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 12 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 13 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 14 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 15 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 16 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 17 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 18 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 19 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 20 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 21 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 22 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 23 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 24 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 25 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 26 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 27 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 28 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 29 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 30 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 31 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 32 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 33 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 34 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 35 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 36 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 37 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 38 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 39 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 40 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 42 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 43 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 44 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 45 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 46 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 47 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 48 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 49 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 51 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 52 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
Let's please try to go through an example in a few steps through few posts starting with Step One below so that I can try to learn where I'm doing something wrong (it would be nice to see you answer the questions in post #72 to try to help me figure this out also):
STEP ONE:
We have 52 standard playing card decks.
- We randomly draw one card from deck 1 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 2 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 3 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 4 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 5 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 6 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 7 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 8 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 9 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 10 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 11 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 12 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 13 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 14 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 15 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 16 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 17 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 18 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 19 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 20 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 21 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 22 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 23 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 24 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 25 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 26 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 27 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 28 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 29 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 30 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 31 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 32 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 33 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 34 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 35 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 36 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 37 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 38 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 39 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 40 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 42 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 43 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 44 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 45 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 46 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 47 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 48 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 49 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 51 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 52 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
Quote:
In reply to your scenario,
draw any card from any of the 52 sets/decks of cards, place it on your kitchen counter. the cards by the golden ratio has a 1:52 chance to be any card,
repeat this for another 51 times, each time you draw , each card has the same chance to be any card, the golden constant of 1:52
[redacted text]
draw any card from any of the 52 sets/decks of cards, place it on your kitchen counter. the cards by the golden ratio has a 1:52 chance to be any card,
repeat this for another 51 times, each time you draw , each card has the same chance to be any card, the golden constant of 1:52
[redacted text]
Quote:
Hmmmm .... really? Maybe this is where I start to go wrong.
So it is 1/52 to be the Ac; 1/52 to be the Ad; 1/52 to be the As; 1/52 to be the Ah and 1/52 to be any of the Ac, Ad, As or Ah?
I don't understand.
It seems like if each of the Ah, As, Ad and Ac has a 1/52 chance, then the chance of it being any one of them should be somewhat more than 1/52.
So it is 1/52 to be the Ac; 1/52 to be the Ad; 1/52 to be the As; 1/52 to be the Ah and 1/52 to be any of the Ac, Ad, As or Ah?
I don't understand.
It seems like if each of the Ah, As, Ad and Ac has a 1/52 chance, then the chance of it being any one of them should be somewhat more than 1/52.
Quote:
Quote:
No, I'm afraid I'm not quite following. So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Quote:
Please do not skip ahead; it will only confuse me more. I promise I will get further along, but for now I am only here:
So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Please let us deal with this first and get me to understand it before we move on.
So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Please let us deal with this first and get me to understand it before we move on.
Quote:
I see, I see. I'm afraid I am just not understanding. This must be the part (or at least one part) where I get messed up.
I don't understand how a card can have a 1/52 chance of being each of four different cards (i.e. the Ac, Ad, As and Ah) and at the same time have only a 1/52 chance of being any of the same four cards. It seems like if the card has a greater than 0 chance of being each of four cards, then it should have a greater chance of being any of the four than it has of being a particular one of the four. But you say this isn't true.
It almost seems like the chances of the card being the Ac, the Ad, the As and the Ah should almost like add together or something to get the chance of the card being any one of them.
If you could post an explanation for why there is a 1/52 chance of such card being any of the four cards mentioned above (i.e. the Ac, Ad, As or Ah), maybe that would be helpful.
If I can't wrap my head around this soon, I may have to think about this for a while before continuing.
I don't understand how a card can have a 1/52 chance of being each of four different cards (i.e. the Ac, Ad, As and Ah) and at the same time have only a 1/52 chance of being any of the same four cards. It seems like if the card has a greater than 0 chance of being each of four cards, then it should have a greater chance of being any of the four than it has of being a particular one of the four. But you say this isn't true.
It almost seems like the chances of the card being the Ac, the Ad, the As and the Ah should almost like add together or something to get the chance of the card being any one of them.
If you could post an explanation for why there is a 1/52 chance of such card being any of the four cards mentioned above (i.e. the Ac, Ad, As or Ah), maybe that would be helpful.
If I can't wrap my head around this soon, I may have to think about this for a while before continuing.
Quote:
Unfortunately no because it isn't what I asked about.
Let me back up a second.
The card I have my hand on. What is the chance that it is any one of the below listed cards (not one of such cards in particular but just any one of them)?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Let me back up a second.
The card I have my hand on. What is the chance that it is any one of the below listed cards (not one of such cards in particular but just any one of them)?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Do there exist any cards other than the below listed cards in a standard fifty-two card playing card deck?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
So the card my hand is on is definitely one of the below listed cards? Yes or no?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
The jokers and any instructional cards have been discarded and will not figure into any of our conversation.
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Hmmmm, how can we say that the card my hand is on must definitely be one of the below listed cards, but that there is only a 1/52 chance that it is one of the below listed cards? If it must definitely be one of the below listed cards, then shouldn't the chance of it being one of the below listed cards be 100%?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Ok. So do we now agree that the card my hand is on has a 1/52 chance to be any particular one of the below listed cards, but has a 100%, or 52/52 chance, to be one of the below listed cards without regard to which one?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
And do we still agree that the card my hand is on has a 1/52 chance of being the Ac, a 1/52 chance of being the Ad, a 1/52 chance of being the Ah and a 1/52 chance of being the As?
If so, what are the chances that the card my hand is on is any one of the below listed cards without regard to which one?
Ac, As, Ad, Ah
If so, what are the chances that the card my hand is on is any one of the below listed cards without regard to which one?
Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
11-25-2015
, 05:18 PM
Quote:
What are the chances that the card my hand is on is one of the below listed cards without regard to which one?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
11-25-2015
, 05:35 PM
Carpal \'Tunnel
Join Date: Mar 2006
Posts: 25,682
Quote:
[redacted text]
Let's please try to go through an example in a few steps through few posts starting with Step One below so that I can try to learn where I'm doing something wrong (it would be nice to see you answer the questions in post #72 to try to help me figure this out also):
STEP ONE:
We have 52 standard playing card decks.
- We randomly draw one card from deck 1 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 2 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 3 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 4 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 5 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 6 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 7 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 8 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 9 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 10 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 11 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 12 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 13 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 14 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 15 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 16 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 17 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 18 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 19 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 20 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 21 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 22 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 23 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 24 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 25 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 26 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 27 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 28 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 29 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 30 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 31 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 32 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 33 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 34 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 35 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 36 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 37 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 38 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 39 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 40 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 42 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 43 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 44 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 45 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 46 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 47 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 48 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 49 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 51 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 52 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
Let's please try to go through an example in a few steps through few posts starting with Step One below so that I can try to learn where I'm doing something wrong (it would be nice to see you answer the questions in post #72 to try to help me figure this out also):
STEP ONE:
We have 52 standard playing card decks.
- We randomly draw one card from deck 1 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 2 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 3 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 4 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 5 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 6 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 7 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 8 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 9 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 10 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 11 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 12 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 13 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 14 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 15 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 16 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 17 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 18 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 19 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 20 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 21 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 22 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 23 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 24 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 25 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 26 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 27 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 28 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 29 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 30 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 31 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 32 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 33 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 34 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 35 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 36 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 37 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 38 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 39 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 40 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 42 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 43 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 44 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 45 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 46 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 47 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 48 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 49 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 51 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 52 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
Quote:
In reply to your scenario,
draw any card from any of the 52 sets/decks of cards, place it on your kitchen counter. the cards by the golden ratio has a 1:52 chance to be any card,
repeat this for another 51 times, each time you draw , each card has the same chance to be any card, the golden constant of 1:52
[redacted text]
draw any card from any of the 52 sets/decks of cards, place it on your kitchen counter. the cards by the golden ratio has a 1:52 chance to be any card,
repeat this for another 51 times, each time you draw , each card has the same chance to be any card, the golden constant of 1:52
[redacted text]
Quote:
Hmmmm .... really? Maybe this is where I start to go wrong.
So it is 1/52 to be the Ac; 1/52 to be the Ad; 1/52 to be the As; 1/52 to be the Ah and 1/52 to be any of the Ac, Ad, As or Ah?
I don't understand.
It seems like if each of the Ah, As, Ad and Ac has a 1/52 chance, then the chance of it being any one of them should be somewhat more than 1/52.
So it is 1/52 to be the Ac; 1/52 to be the Ad; 1/52 to be the As; 1/52 to be the Ah and 1/52 to be any of the Ac, Ad, As or Ah?
I don't understand.
It seems like if each of the Ah, As, Ad and Ac has a 1/52 chance, then the chance of it being any one of them should be somewhat more than 1/52.
Quote:
Quote:
No, I'm afraid I'm not quite following. So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Quote:
Please do not skip ahead; it will only confuse me more. I promise I will get further along, but for now I am only here:
So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Please let us deal with this first and get me to understand it before we move on.
So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Please let us deal with this first and get me to understand it before we move on.
Quote:
I see, I see. I'm afraid I am just not understanding. This must be the part (or at least one part) where I get messed up.
I don't understand how a card can have a 1/52 chance of being each of four different cards (i.e. the Ac, Ad, As and Ah) and at the same time have only a 1/52 chance of being any of the same four cards. It seems like if the card has a greater than 0 chance of being each of four cards, then it should have a greater chance of being any of the four than it has of being a particular one of the four. But you say this isn't true.
It almost seems like the chances of the card being the Ac, the Ad, the As and the Ah should almost like add together or something to get the chance of the card being any one of them.
If you could post an explanation for why there is a 1/52 chance of such card being any of the four cards mentioned above (i.e. the Ac, Ad, As or Ah), maybe that would be helpful.
If I can't wrap my head around this soon, I may have to think about this for a while before continuing.
I don't understand how a card can have a 1/52 chance of being each of four different cards (i.e. the Ac, Ad, As and Ah) and at the same time have only a 1/52 chance of being any of the same four cards. It seems like if the card has a greater than 0 chance of being each of four cards, then it should have a greater chance of being any of the four than it has of being a particular one of the four. But you say this isn't true.
It almost seems like the chances of the card being the Ac, the Ad, the As and the Ah should almost like add together or something to get the chance of the card being any one of them.
If you could post an explanation for why there is a 1/52 chance of such card being any of the four cards mentioned above (i.e. the Ac, Ad, As or Ah), maybe that would be helpful.
If I can't wrap my head around this soon, I may have to think about this for a while before continuing.
Quote:
Unfortunately no because it isn't what I asked about.
Let me back up a second.
The card I have my hand on. What is the chance that it is any one of the below listed cards (not one of such cards in particular but just any one of them)?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Let me back up a second.
The card I have my hand on. What is the chance that it is any one of the below listed cards (not one of such cards in particular but just any one of them)?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Do there exist any cards other than the below listed cards in a standard fifty-two card playing card deck?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
So the card my hand is on is definitely one of the below listed cards? Yes or no?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
The jokers and any instructional cards have been discarded and will not figure into any of our conversation.
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Hmmmm, how can we say that the card my hand is on must definitely be one of the below listed cards, but that there is only a 1/52 chance that it is one of the below listed cards? If it must definitely be one of the below listed cards, then shouldn't the chance of it being one of the below listed cards be 100%?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Ok. So do we now agree that the card my hand is on has a 1/52 chance to be any particular one of the below listed cards, but has a 100%, or 52/52 chance, to be one of the below listed cards without regard to which one?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
And do we still agree that the card my hand is on has a 1/52 chance of being the Ac, a 1/52 chance of being the Ad, a 1/52 chance of being the Ah and a 1/52 chance of being the As?
If so, what are the chances that the card my hand is on is any one of the below listed cards without regard to which one?
Ac, As, Ad, Ah
If so, what are the chances that the card my hand is on is any one of the below listed cards without regard to which one?
Ac, As, Ad, Ah
Quote:
What are the chances that the card my hand is on is one of the below listed cards without regard to which one?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
http://forumserver.twoplustwo.com/sh...&postcount=135
Which is it?
11-25-2015
, 05:41 PM
Quote:
Before you said 52/52:
http://forumserver.twoplustwo.com/sh...&postcount=135
Which is it?
http://forumserver.twoplustwo.com/sh...&postcount=135
Which is it?
you asked the same question again?
If I answered it , you are obviously trolling me with the repeats?
11-25-2015
, 05:48 PM
Carpal \'Tunnel
Join Date: Mar 2006
Posts: 25,682
Quote:
[redacted text]
Let's please try to go through an example in a few steps through few posts starting with Step One below so that I can try to learn where I'm doing something wrong (it would be nice to see you answer the questions in post #72 to try to help me figure this out also):
STEP ONE:
We have 52 standard playing card decks.
- We randomly draw one card from deck 1 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 2 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 3 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 4 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 5 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 6 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 7 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 8 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 9 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 10 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 11 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 12 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 13 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 14 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 15 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 16 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 17 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 18 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 19 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 20 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 21 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 22 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 23 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 24 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 25 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 26 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 27 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 28 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 29 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 30 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 31 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 32 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 33 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 34 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 35 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 36 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 37 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 38 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 39 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 40 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 42 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 43 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 44 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 45 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 46 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 47 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 48 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 49 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 51 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 52 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
Let's please try to go through an example in a few steps through few posts starting with Step One below so that I can try to learn where I'm doing something wrong (it would be nice to see you answer the questions in post #72 to try to help me figure this out also):
STEP ONE:
We have 52 standard playing card decks.
- We randomly draw one card from deck 1 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 2 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 3 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 4 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 5 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 6 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 7 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 8 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 9 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 10 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 11 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 12 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 13 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 14 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 15 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 16 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 17 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 18 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 19 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 20 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 21 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 22 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 23 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 24 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 25 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 26 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 27 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 28 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 29 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 30 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 31 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 32 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 33 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 34 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 35 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 36 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 37 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 38 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 39 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 40 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 41 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 42 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 43 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 44 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 45 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 46 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 47 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 48 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 49 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 51 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
- We randomly draw one card from deck 52 and put such card on the kitchen table. What are the chances that this card is each particular card in a standard playing card deck?
Quote:
In reply to your scenario,
draw any card from any of the 52 sets/decks of cards, place it on your kitchen counter. the cards by the golden ratio has a 1:52 chance to be any card,
repeat this for another 51 times, each time you draw , each card has the same chance to be any card, the golden constant of 1:52
[redacted text]
draw any card from any of the 52 sets/decks of cards, place it on your kitchen counter. the cards by the golden ratio has a 1:52 chance to be any card,
repeat this for another 51 times, each time you draw , each card has the same chance to be any card, the golden constant of 1:52
[redacted text]
Quote:
Hmmmm .... really? Maybe this is where I start to go wrong.
So it is 1/52 to be the Ac; 1/52 to be the Ad; 1/52 to be the As; 1/52 to be the Ah and 1/52 to be any of the Ac, Ad, As or Ah?
I don't understand.
It seems like if each of the Ah, As, Ad and Ac has a 1/52 chance, then the chance of it being any one of them should be somewhat more than 1/52.
So it is 1/52 to be the Ac; 1/52 to be the Ad; 1/52 to be the As; 1/52 to be the Ah and 1/52 to be any of the Ac, Ad, As or Ah?
I don't understand.
It seems like if each of the Ah, As, Ad and Ac has a 1/52 chance, then the chance of it being any one of them should be somewhat more than 1/52.
Quote:
Quote:
No, I'm afraid I'm not quite following. So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Quote:
Please do not skip ahead; it will only confuse me more. I promise I will get further along, but for now I am only here:
So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Please let us deal with this first and get me to understand it before we move on.
So you are saying (let me know if the below is true) that:
- The chance such card is the Ah is 1/52?;
- The chance such card is the Ad is 1/52?;
- The chance such card is the Ac is 1/52?;
- The chance such card is the As is 1/52; and
- The chance such card is the Ah or the Ad or the As or the Ac is 1/52? So such card is just as likely to be the Ad as it is to be any of the Ad, As, Ac or Ah?
Please let us deal with this first and get me to understand it before we move on.
Quote:
I see, I see. I'm afraid I am just not understanding. This must be the part (or at least one part) where I get messed up.
I don't understand how a card can have a 1/52 chance of being each of four different cards (i.e. the Ac, Ad, As and Ah) and at the same time have only a 1/52 chance of being any of the same four cards. It seems like if the card has a greater than 0 chance of being each of four cards, then it should have a greater chance of being any of the four than it has of being a particular one of the four. But you say this isn't true.
It almost seems like the chances of the card being the Ac, the Ad, the As and the Ah should almost like add together or something to get the chance of the card being any one of them.
If you could post an explanation for why there is a 1/52 chance of such card being any of the four cards mentioned above (i.e. the Ac, Ad, As or Ah), maybe that would be helpful.
If I can't wrap my head around this soon, I may have to think about this for a while before continuing.
I don't understand how a card can have a 1/52 chance of being each of four different cards (i.e. the Ac, Ad, As and Ah) and at the same time have only a 1/52 chance of being any of the same four cards. It seems like if the card has a greater than 0 chance of being each of four cards, then it should have a greater chance of being any of the four than it has of being a particular one of the four. But you say this isn't true.
It almost seems like the chances of the card being the Ac, the Ad, the As and the Ah should almost like add together or something to get the chance of the card being any one of them.
If you could post an explanation for why there is a 1/52 chance of such card being any of the four cards mentioned above (i.e. the Ac, Ad, As or Ah), maybe that would be helpful.
If I can't wrap my head around this soon, I may have to think about this for a while before continuing.
Quote:
Unfortunately no because it isn't what I asked about.
Let me back up a second.
The card I have my hand on. What is the chance that it is any one of the below listed cards (not one of such cards in particular but just any one of them)?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Let me back up a second.
The card I have my hand on. What is the chance that it is any one of the below listed cards (not one of such cards in particular but just any one of them)?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Do there exist any cards other than the below listed cards in a standard fifty-two card playing card deck?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
So the card my hand is on is definitely one of the below listed cards? Yes or no?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
The jokers and any instructional cards have been discarded and will not figure into any of our conversation.
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
So your answer is "yes".
So then, what are the chances that the card my hand is on is any of the below listed cards?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Hmmmm, how can we say that the card my hand is on must definitely be one of the below listed cards, but that there is only a 1/52 chance that it is one of the below listed cards? If it must definitely be one of the below listed cards, then shouldn't the chance of it being one of the below listed cards be 100%?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Ok. So do we now agree that the card my hand is on has a 1/52 chance to be any particular one of the below listed cards, but has a 100%, or 52/52 chance, to be one of the below listed cards without regard to which one?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
And do we still agree that the card my hand is on has a 1/52 chance of being the Ac, a 1/52 chance of being the Ad, a 1/52 chance of being the Ah and a 1/52 chance of being the As?
If so, what are the chances that the card my hand is on is any one of the below listed cards without regard to which one?
Ac, As, Ad, Ah
If so, what are the chances that the card my hand is on is any one of the below listed cards without regard to which one?
Ac, As, Ad, Ah
Quote:
What are the chances that the card my hand is on is one of the below listed cards without regard to which one?
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
2c, 2s, 2d, 2h, 3c, 3s, 3d, 3h, 4c, 4s, 4d, 4h, 5c, 5s, 5d, 5h, 6c, 6s, 6d, 6h, 7c, 7s, 7d, 7h, 8c, 8s, 8d, 8h, 9c, 9s, 9d, 9h, Tc, Ts, Td, Th, Jc, Js, Jd, Jh, Qc, Qs, Qd, Qh, Kc, Ks, Kd, Kh, Ac, As, Ad, Ah
Quote:
Before you said 52/52:
http://forumserver.twoplustwo.com/sh...&postcount=135
Which is it?
http://forumserver.twoplustwo.com/sh...&postcount=135
Which is it?
You answering the same question differently makes it confusing.
What are the chances of the card my hand is on being one of the below cards without regard to which particular one? The answer that you gave to this question when all of the cards in a standard playing card deck were listed below was 100% or 52/52.
Ac, Ad, As, Ah
Be aware that: I am NOT asking you for the chance that the card my hand is on is the Ac. I am NOT asking you for the chance that the card my hand is on is the Ad. I am NOT asking you for the chance that the card my hand is on is the As. I am NOT asking you for the chance that the card my hand is on is the Ah. I believe we have already agreed that the answer to all four of these questions is 1/52.
I have tried to clarify the question as much as I can and I think it should be understandable.
11-25-2015
, 05:51 PM
Quote:
You answering the same question differently makes it confusing.
What are the chances of the card my hand is on being one of the below cards without regard to which particular one? The answer that you gave to this question when all of the cards in a standard playing card deck were listed below was 100% or 52/52.
Ac, Ad, As, Ah
Be aware that: I am NOT asking you for the chance that the card my hand is on is the Ac. I am NOT asking you for the chance that the card my hand is on is the Ad. I am NOT asking you for the chance that the card my hand is on is the As. I am NOT asking you for the chance that the card my hand is on is the Ah. I believe we have already agreed that the answer to all four of these questions is 1/52.
I have tried to clarify the question as much as I can and I think it should be understandable.
What are the chances of the card my hand is on being one of the below cards without regard to which particular one? The answer that you gave to this question when all of the cards in a standard playing card deck were listed below was 100% or 52/52.
Ac, Ad, As, Ah
Be aware that: I am NOT asking you for the chance that the card my hand is on is the Ac. I am NOT asking you for the chance that the card my hand is on is the Ad. I am NOT asking you for the chance that the card my hand is on is the As. I am NOT asking you for the chance that the card my hand is on is the Ah. I believe we have already agreed that the answer to all four of these questions is 1/52.
I have tried to clarify the question as much as I can and I think it should be understandable.
11-25-2015
, 05:52 PM
Carpal \'Tunnel
Join Date: Mar 2006
Posts: 25,682
What are the chances of the card my hand is on being one of the below cards without regard to which particular one? The answer that you gave to this question when all of the cards in a standard playing card deck were listed below was 100% or 52/52.
Ac, Ad, As, Ah
Be aware that: I am NOT asking you for the chance that the card my hand is on is the Ac. I am NOT asking you for the chance that the card my hand is on is the Ad. I am NOT asking you for the chance that the card my hand is on is the As. I am NOT asking you for the chance that the card my hand is on is the Ah. I believe we have already agreed that the answer to all four of these questions is 1/52.
I have tried to clarify the question as much as I can and I think it should be understandable.
Ac, Ad, As, Ah
Be aware that: I am NOT asking you for the chance that the card my hand is on is the Ac. I am NOT asking you for the chance that the card my hand is on is the Ad. I am NOT asking you for the chance that the card my hand is on is the As. I am NOT asking you for the chance that the card my hand is on is the Ah. I believe we have already agreed that the answer to all four of these questions is 1/52.
I have tried to clarify the question as much as I can and I think it should be understandable.
11-25-2015
, 05:58 PM
Quote:
What are the chances of the card my hand is on being one of the below cards without regard to which particular one? The answer that you gave to this question when all of the cards in a standard playing card deck were listed below was 100% or 52/52.
Ac, Ad, As, Ah
Be aware that: I am NOT asking you for the chance that the card my hand is on is the Ac. I am NOT asking you for the chance that the card my hand is on is the Ad. I am NOT asking you for the chance that the card my hand is on is the As. I am NOT asking you for the chance that the card my hand is on is the Ah. I believe we have already agreed that the answer to all four of these questions is 1/52.
I have tried to clarify the question as much as I can and I think it should be understandable.
Ac, Ad, As, Ah
Be aware that: I am NOT asking you for the chance that the card my hand is on is the Ac. I am NOT asking you for the chance that the card my hand is on is the Ad. I am NOT asking you for the chance that the card my hand is on is the As. I am NOT asking you for the chance that the card my hand is on is the Ah. I believe we have already agreed that the answer to all four of these questions is 1/52.
I have tried to clarify the question as much as I can and I think it should be understandable.
11-25-2015
, 06:02 PM
Carpal \'Tunnel
Join Date: Mar 2006
Posts: 25,682
11-25-2015
, 06:05 PM
11-25-2015
, 06:10 PM
Carpal \'Tunnel
Join Date: Mar 2006
Posts: 25,682
Really?
So there is a 1/52 chance the card is the Ad; a 1/52 chance that the card is the As; a 1/52 chance the card is the Ah; and a 1/52 chance the card is the Ac. So there is an equal and greater than 0 chance that the card is each of these four cards.
And
the chances that the card is:
- the Ad, Ac, Ah or As
is the same as the chances that the card is
- the Ad
???
So there is a 1/52 chance the card is the Ad; a 1/52 chance that the card is the As; a 1/52 chance the card is the Ah; and a 1/52 chance the card is the Ac. So there is an equal and greater than 0 chance that the card is each of these four cards.
And
the chances that the card is:
- the Ad, Ac, Ah or As
is the same as the chances that the card is
- the Ad
???
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