by Mad Genius » Mon Mar 21, 2005 2:12 pm
starstealer
I'm gonna disagree with you and re-iterate a little bit of what I said earlier. First, we have to make an assumption that ice is behind here. I gave UTG's range of hands to be AK, AQ, A8, A5, 88, and 55. In retrospect, AA could actually be another one since UTG might have been going for the backraise preflop. Regardless, to simplify a bit, let's say UTG either has two pair or a set, since AK-AQ is very similar to A8/A5 in terms of the odds iceman will have, especially if the K/Q is a heart. So assuming there is a 50% chance of a set and 50% chance of twopair, that means 50% of the time iceman will win 30% of the time, and 50% of the time he will win 45%.
.30 * .50 + .45 * .50 = .375. That means iceman has 37.5% of winning the hand. Actually, it's a little less since I rounded the numbers up.
In the actual hand, he has to put in $176 to win back $412. That means he needs to win the hand over 43% of the time to make it +EV. I say $176 and not $76 because calling would be out of the question here. Clearly it's -EV to push assuming UTG has even a small chance of having a set and assuming iceman has little to no folding equity.