Quote:
Based upon your numbers, your turn shove has EV = +$1,100:
Call with Bottom Set: 10% * 40% = 4%
Middle Set: 9% * 10% = 0.9% (round to 1%)
Top Set: 5%
Straight: 15%
So, all total, that's a 25% chance that he'll call. You have 25% equity when he has a set and he calls. You have 22.7% equity when he has a straight. Based upon your numbers, if he calls, he will have a straight 60% of the time. So, weighting the straights at 60%, you have 23.62% equity when he calls. Your overall EV when he calls will be -$3,102.70 (.2362 * $16,500 - $7,000). I'll round to -$3,100 for simplicity.
.75 * $2500 + [(.25) * -$3,100] = EV
$1,875 - $775 = EV
+$1,100 = EV
The question remains as to whether you have higher EV by checking the turn behind. I previously estimated your equity in checking behind somewhere between $1,350 and $1,800. So, if you go with your numbers, you are winning $250 to $700 less by shoving than checking the turn behind.
Also, after re-reading your OP, is the UTG player you are up against the straddle? If so, then it is a lot less likely he has JJ+ type hands (since he'd usually raise the straddle preflop), and more likely to have sets and straight hands like J9o or even 96o (which he'd check behind on the straddle). Even if he is the guy after the straddle, I still think I gave him too much credit for JJ+ type hands. So, I'm now starting to think the turn shove is not better than a check (I guess I'm flip-flopping).
Anyhow, if your numbers are correct, then checking the turn behind is clearly better than shoving.
***EDIT: I accidentally left off your 95% folding equity with all other non-set, non-straight hands, but the results shouldn't be enough to swing the conclusion.
His numbers can not be right based on the way the hand was played. This is getting somewhat absurd. You have many very experienced high stakes winning players who have provided their expertise, and it seems that their knowledgeable insights are being ignored.
As I posted above:
"This is way to wide. And live I strongly disagree. In fact High Stakes online i disagree.
The way the hand when down, when the opponent called out of position vs 2 players (one still to act), the strong likelihood was that op was in a lot of trouble. On this flop the likelihood of it hitting someone hard is possible. The call makes it extremely probable. And without the nuts in a mutiway pot on this type of board, a good player will often just call and be cautious - with exactly the type of hand he has. The odds on the turn push of the opponent calling are significantly higher then your estimating."
Last edited by ike; 11-25-2009 at 04:15 PM.