Quote:
Originally Posted by p0ker_n00b
I - rake= C$*(Card Odds – Pot Odds)
where C$ is the call amount (7.50),
card odds = 1-eq/eq = 0.86/0.14 = 6.14
and pot odds = pot after villain bet/ call amount=15/7.50 = 2
________________________
We can use simply I=C$*(Card odds - Pot odds) , yes?
I am not following the the 3rd line of card odds = 1-eq/eq=0.86/0.14=6.14
That formula converts your actual equity into odds. Statmanhal is using cards odds as a shorthand for the odds your hand actually needs to make a break even call.
Quote:
Originally Posted by p0ker_n00b
Where did you get 1-eq/eq from? Why did you do 1-eq/eq=.86/.14? What is the 1- part of it? That seems to be missing.
You can convert between probabilities and odds. Odds is just the ratio of probabilites or relative frequency of out comes.
So if you have something that is 2 to 1 you can read that as "for every 3 occurrences of some event, outcome 1 is twice as likely to occur as outcome 2". To get the probability you would just add up the total (2+1) and divide each number by that total. So one event occurs with probability 2/(2+1) and 1/(2+1).
To convert probabilites to odds you need to calculate the probability of each event occuring. Since we know that the probability you win is .14, then we need to know the probability you don't win to convert to odds.
Now we know that in probability the total sum of probabilities need to add up to 1 (or 100% if expressed as a percentage). So since we only have 2 outcomes here we can calculate the probability you don't win which:
.14 + q = 1
q = 1 - .14
q = .86
So now convert to odds:
.86/.14 = 6.14
So it's 6.14 to 1 odds you lose the hand.
Quote:
Originally Posted by p0ker_n00b
The pot odds I understand 15/7.50=2 makes sense.
So it would be I=$7.50(Card odds-2), but what is card odds? That is the part I don't understand.
Again it's just a short hand expression for your equity expressed as odds.
So in the end it should be
Quote:
Originally Posted by p0ker_n00b
I = $7.50(6.14-2) OR I=$7.5*4.14 = 31.05
Yes that's just the extra money you need to make on the river not including the pot after betting on the turn. You can check yourself by plugging into the EV equation.
.14*(31.05) - 7.50 = -3.15
As opposed to
.14*(22.50+31.05) - 7.50
7.497 - 7.50 = -.003
Since we have some rounding errors in some places it's not exactly 0 but close enough.