Re: calling preflop 4bets
I should further point out that there are a lot of flops (about 30%) that will give hero 20 to 25%. Even if he calls all these flops (meaning he calls a full 80% of the time) he will still realize a small +EV (about $10).
Oh, and upon further review, Hero's equity when he can make a call is actually closer to 62% (not 65%). This lowers the equity of perfect flop play to about +$50, but not enough to lower it less than zero unless Hero calls virtually every flop, or folds all his straight and flush draws.
The reason for this is that Hero only needs 43% equity to push pre-flop and break even. He actually has about 40%, so he doesn't have to be anywhere near perfect on the flop to make money with a call.
That said, no matter how well Hero plays post flop, there is no way he can realize enough profit to compensate for his inital raise (though I'm not saying this to criticize this play - I'm sure AAxx wasn't villains only raising hand).
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