A JJ hand

[2005]

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playing that many hands It's likely that he doesn't have an ace and I'd just push him in on the flop.

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but then he'd fold any non A hand that I beat.

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Not necessarily. He might call with just about any pair. I think you need to bet this flop b/c you don't want to give him a free shot at KQ etc. Since I don't think you can check, the only bet that makes sense is a push since you're not going to fold to a small raise.