You must do the following to arrive at the right decision. There's no other way...sometimes the right answer is counterintuitive.
Step 1 Range. Step 2 Equity. Step 3 EV calc.
Step 1. He doesn't have AA or KK. He also probably doesn't have total junk. I'd say his range is QQ (discounted), JJ, 1010, 99, 88, 77, AK, and AQ. But I'll go with the range you assigned, which is 22-QQ, QJsuited to AKsuited, AJo+, A9suited+, KQo.
On the turn, since he's passive, he's probably only betting QQ, JJ, 99, AK, 55, QJsuited, AKsuited, KQo.
On the river, he's probably betting 99, 55, KQ
, Q
J
. Against this range, you win 30% of the time. Let's say his range is 80% these hands and 20% of the time he is making a bluff or bizarre blocking bet with like A
K
.
EV of calling = .8(.3*$195 - .7*$75) = +$4.8
.2 ($195) = $39
EV of calling = +$43.8
For raising, let's assume he folds everything except the hands that beat you, and 33% of the time he folds KQ
and 66% of the time he calls KQ
.
EV of raising = .2($195) = $39
.8 ((1/10)$195 - (9/10)((2/9)*$270 - (7/9)$150)) =
.8($19.5 - .9($56.67)) = .8 (-$31.503) = -$25.2024
EV of raising = +$13.798
So flatting>raising> folding. Anyone wanna work out the math though in the case where he folds all 3 combos of KQ
and in the case where he calls all 3 combos of KQ
?
Last edited by BenT07891; 12-03-2012 at 10:30 PM.