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07-08-2011 , 11:50 AM

#101

Wyman

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I think if you reread carefully what he wrote, you'll see what I mean.

Quote

07-08-2011 , 11:51 AM

#102

TheDean1

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Quote:

Originally Posted by Gabethebabe

The Truel

Three guys are fighting over TimeLady and they agree to decide with a "truel" (thats a duel of three

). All three get a gun and last man standing wins.
Man 1 shoots pretty bad. 1 in 3 kill
Man 2 shoots better. 2 in 3 kill
Man 3 shoots perfect - 3 in 3 kill = 100%

They agree to shoot one at a time. First the worst shooter (Man1) followed by Man2 (if alive), followed by Man3 (if alive), after which the cycle repeats.

We assume that a hit = death and a miss = complete miss.

You are Man 1. What do you do.

For the mathematicians: What are the probabilities of Man1, 2 and 3 to win this truel?

Spoiler:

Quote

07-08-2011 , 11:54 AM

#103

Willd

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Quote:

Originally Posted by Wyman

I think if you reread carefully what he wrote, you'll see what I mean.

Ok yeah I think I get what you mean. Each iteration involves transferring all cards from the deck onto the table.

Quote

07-08-2011 , 11:56 AM

#104

Aicirt

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Join Date: Sep 2004 Posts: 5,846

Quote:

Originally Posted by Willd

Ok yeah I think I get what you mean. Each iteration involves transferring all cards from the deck onto the table.

Yep this.

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07-08-2011 , 01:26 PM

#105

Willd

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Spoiler:

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07-08-2011 , 01:30 PM

#106

Wyman

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I havent thought about it at all, but if you have a sequence of numbers you cant explain, try entering them into the online integer sequence database. It is a pretty neat tool.

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07-08-2011 , 01:37 PM

#107

Willd

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It's random enough not to find any results in the oisd just for the first 10 terms.

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07-08-2011 , 01:51 PM

#108

Wyman

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now im intrigued.

busy afternoon, but I'll look later this evening I hope.

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07-08-2011 , 03:15 PM

#109

Aicirt

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Join Date: Sep 2004 Posts: 5,846

I'll give you a hint based off of what you have posted so far. Use it if you want or ignore it.

Spoiler:

Here is another hint to get you in the right direction. Again feel free to ignore.

Spoiler:

Quote

07-08-2011 , 04:24 PM

#110

Willd

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Quote:

Originally Posted by Aicirt

I'll give you a hint based off of what you have posted so far. Use it if you want or ignore it.

Spoiler:

Here is another hint to get you in the right direction. Again feel free to ignore.

Spoiler:

Last edited by Willd; 07-08-2011 at 04:33 PM.

Quote

07-08-2011 , 05:29 PM

#111

Gabethebabe

Malware Jedi

Join Date: Oct 2007 Posts: 27,414

deck of 1 cards: 1=> 1 = 1 iteration
deck of 2 cards: 12=> 21 => 12 = 2 iterations
deck of 3 cards: 123 => 231 => 312 => 123 = 4 iteration
deck of 4 cards: 1234 => 4231 => 1234 = 2 iterations
deck of 5 cards; 12345 => 24531 ==> 43152 => 35214 =>51423 => 12345 = 5 iterations
Deck of 6 cards: 123456 => 462531 => 516324 => 341265 ==> 254613 =>635142 => 123456 = 6 iterations
Deck of 7 cards: 1234567 => 6247531 => 3271546 => 4216573 =>7263514 => 1234567 = 5 iterations

f(1)=1
f(2)=2
f(3)=4
f(4)=2
f(5)=5
f(6)=6
f(7)=5

Does anyone see logic already?

Quote

07-08-2011 , 05:32 PM

#112

Gabethebabe

Malware Jedi

Join Date: Oct 2007 Posts: 27,414

f(8)=4

Quote

07-08-2011 , 05:35 PM

#113

Gabethebabe

Malware Jedi

Join Date: Oct 2007 Posts: 27,414

f(9)=6

Quote

07-08-2011 , 05:40 PM

#114

Aicirt

Pooh-Bah

Join Date: Sep 2004 Posts: 5,846

f(3) is actually 3. I think the others are correct.

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07-08-2011 , 05:43 PM

#115

Willd

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I have the correct number of iterations for up to 99 cards in the deck. Didn't help me work it out.

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07-08-2011 , 05:56 PM

#116

Gabethebabe

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Join Date: Oct 2007 Posts: 27,414

Quote:

Originally Posted by Aicirt

f(3) is actually 3. I think the others are correct.

oh yeah lol I cannot count

Quote

07-08-2011 , 06:04 PM

#117

ibavly

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Join Date: Feb 2010 Posts: 24,513

Is the result for 52 cards 8?

Quote

07-08-2011 , 06:09 PM

#118

Willd

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Assuming my program is correct (and I'm pretty sure it is) that's off by a very long way.

Spoiler:

Quote

07-09-2011 , 01:46 AM

#119

theHuntContinues

veteran

Join Date: Dec 2008 Posts: 2,112

OMG SOME BODY ANSWERS MY PROBLEM DON'T JUST IGNORE IT IT'S RUDE!!!!1

Quote:

How many times in a day do the 2 arms on a standard clock point at exactly the same direction?

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07-09-2011 , 02:43 AM

#120

bojtun

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Theytre two legs ldo

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07-09-2011 , 02:44 AM

#121

bojtun

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How many horsdes have won the tripleCrown?

Srsly

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07-09-2011 , 02:45 AM

#122

bojtun

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Which Presidengt is on the $100 BILL?

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07-09-2011 , 02:47 AM

#123

bojtun

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Quote:

Originally Posted by theHuntContinues

OMG SOME BODY ANSWERS MY PROBLEM DON'T JUST IGNORE IT IT'S RUDE!!!!1

fINE U WANTA HEAR 24, SO 24

happy?

Quote

07-09-2011 , 02:50 AM

#124

Gabethebabe

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Join Date: Oct 2007 Posts: 27,414

Quote:

Originally Posted by theHuntContinues

OMG SOME BODY ANSWERS MY PROBLEM DON'T JUST IGNORE IT IT'S RUDE!!!!1

Well, this is not really a brainteaser. I mean 11 times /12 h so 22 times/day and it is kind of relevant whether you include both the 00:00 and the 24:00 or only one of them. If you include both the answer is 23.