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Old 07-30-2005, 12:13 PM
rikz rikz is offline
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Join Date: Jun 2005
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Default The math (my attempt at figuring the odds here)

Thank you for your input on this hand. My thoughts at the time echoed your responses to my question about call or fold. So, I don't feel so bad about calling in this situation. I've made this type of call before at PP 25NL and I'm usually ahead.

But, here's an interesting question -

How big do the stacks and villains check/push need to be for me to fold AA here to a check raise?

With $8.10 in the pot, and my $6 continuation bet, that makes a pot of $14.10.

Let me try the math, in the spirit of fim's recent math postings and the like.

Estimated Probability = 20% for Villian having a Flush draw (using Ac Kc for example).
EV=.627
As Ah 621 62.73 369 37.27 0 0.00 0.627
Ac Kc 369 37.27 621 62.73 0 0.00 0.373

Est. Prob. = 10% for Villian having a TPTK (using Ad Td for example).
EV=.914
As Ah 905 91.41 85 8.59 0 0.00 0.914
Ad Td 85 8.59 905 91.41 0 0.00 0.086

Est. Prob. = 50% for Villain having a Set (using TT for example).
EV=.086
As Ah 85 8.59 905 91.41 0 0.00 0.086
Ts Th 905 91.41 85 8.59 0 0.00 0.914

Est. Prob. = 20% for Villain having an Overpair under AA (using JJ for example).
EV=.872
As Ah 863 87.17 127 12.83 0 0.00 0.872
Jc Jh 127 12.83 863 87.17 0 0.00 0.128

I rounded all EVs off to nearest tenth for simplicity.

.2*.6 + .1*.9 + .5*.1 + .2*.9 =
.12 + .09 + .05 + .18 = .44 approx. total EV

Odds of winning based on .44 EV = 1 : (1-.44)/.44 = 1:1.27 or about 1:1.3

Pot odds to call in order to make a neutral EV would 1.3:1. That means with a pot of $14.10, I can call an all-in from Villain up to 1.3*14.10 = $18.33 over the $6 continuation bet, which would be $24.33 to go.

EDIT: This doesn't seem right? How do I calculate this breakeven point. I'm missing something here, aren't I?

Villain made the all-in $23.75 to go when he check raised all in. So, given these assumptions, I should call. But, he almost had enough money to make this call -EV? I'm messing something up here at the end, because this doesn't seem right. Anybody?
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