Re: Aces, the river pairs the board, and I check/raise...
Well, I count 9 ways each for him to have two pair (Q7, Q6, and 76). There are 3 ways each for him to have a set, and QQ is very unlikely. There are 16 ways for him to have 54. There are 6 hands each for filled two pairs (Q3, 73, and 63), but those are all quite loose preflop calls. That's 27 hands I beat, and at the very least 25 I certainly have to be worried about, probably some more. Upon further review, I don't think I'm ahead often enough to raise here. We could hem and haw over whether or not 77 would call on the flop or whether or not Q3 would call preflop, but the line of reasoning that reduces the effective count of hands I lose to is only going to reduce the hands I beat somewhat, too. Sitting at the table, I didn't count the hands thoroughly in the heat of the action.
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