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 Originally Posted by daviddem
edit: you most likely won't get the same results, because I see he counted JJ+,AK in villain's range as 40 combos, which is wrong (he forgot to take the blockers in Hero's hand into account).
With A K blockers:
{ JJ+,AKs,AKo } is 27 combos.
{ KK+,QdQh,QdQs,QdQc,AKs,AKo } is 18 combos.
So Villain folds (27 - 18)/27 = 33% of the time, and Villain calls (1 - 23%) = 67% of the time
When Villain calls, you have ~41.18% equity. (note: Hero has diamonds, and I left the QQ combos with Q in for this equity. If I use the other 3 combos, the equity is 41.24%.)
The EV calculation is
EV = $2.02*33.33% + ($8.54*41.18% - $6.52*58.82%)*66.67%
which reduces to:
EV(no rake) = $0.46
EV(w/ rake) = $0.31
... 
I'm shocked that the blockers make such a huge difference. The "w/ rake EV" more than tripled. Is this right? Did I make a hasty error? I have to split for work, so I can't double check it right now.
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