[curtains]

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For instance if you are on the button and have A7h against 2 callers with deep stacks. The flop comes like J54 with 2 hearts and they check to you, if you now bet and someone makes a huge pot committing raise, you might have to throw away your hand, and you have thus turned a hand with huge future value into 72o."

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This is totally different, because you are willing to get all your chips in with the two overs and the flush draw since you are almost certainly the favorite. In your example the situation is not nearly as good.

The problem is that if you hit your hand you are not likely to get bets on future streets, so you are happy to get the money in now. Also if you bet and the third heart does hit you got a bet in on the flop that you might not have been able to get on the turn.

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durron, again you are not almost certainly the favorite. At most you are going to be 52%, but you could easily be the underdog. Also you are playing stupid idiots on the internet. If they flopped a set you will get all of their money if a heart comes. They don't have nearly as much fear as you give them credit for. They aren't going to simply fold their 88 or 55 because a 3rd heart comes on the turn.