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 Originally Posted by chardrian
But free flop, I'm basically having to fold unless I get two pair or better. With that many limpers, I am very likely doomed even with a Q hi flop.
2 Qs. ( 1 in your hand, 1 on the board)
10 cards in limpers 5 hands.
5 known cards, 47 remaining.
P(no queens) = 45/47 ^ 10 = 65%
So, you are doomed (3 outer) < 1/3rd of the time (sometimes you hit Q3). It's clearly +EV to push ... maybe not on AKQ flop. That would be ... how you say... dumb.
You are OOP short stacked, so you have no choice but to push... so that's a problem. The chance of a Q high flop is no more than 1 in 7 or so. That doesn't matter much because with infinite pot odds, it's worth it.
You probably double up if you have the only Q on Q high flop. You double up for sure on Q3 if you suckout. You are 2:1 dog vs. overcards/mid pair. 3:1 or worse vs overpair or AQ/KQ/QQ. Call it 2.5:1 against. Even at 3:1 against on a call you get all folds often enough to make pushing better than calling pushing Q high flop.
The equivalent of "fold" is check, push Q3X/QQX/33X flops (5%???)...
Ahh.... what if you check the flop and push the turn if checked around on Q-high flop! An extra 1%, probably.
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