Re: calling preflop 4bets
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I should point out that these results will give you an optimistically high expected value for your hand because there's no way to know what your actual equity will be on the flop, especially when it comes to flushes. So you have to decide in advance to play your flushes as if they were live, even if they're not.
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The AAxx calculations already take this into account. If they didn't the 7788 hand's equity values would of course be higher.
What you meant to say is that the 78 hand may sometimes have a flush or flush draw that is not "good". But then there are times that AAxx hand might hit two pair or even an Ace but pays of an 8 high flush hand. But the chances that the AAxx hand will also have 2 hearts and a heart flush ends up winning is pretty small (I'm guessing no more than 6.8% of the time), not something that will affect these numbers greatly.
If you want to worry about stuff, I bet there is a higher chance that the AAxx opponent doesn't really have AAxx.
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