So is this normal? How should the house handle this? If anything...

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either way he's supposed to stfu while the hand is still being played.

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He is in the hand so can say whatever he wants.

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Absolute not true unless he's in the hand and it's head up. Problem with saying anything while there are more than one other player in the hand is that the information you're giving out is not of equal value to the other parties. The example above is a good one:: 1. it allowed the bettor to know that the all-in guy was on hearts, hence reducing the probability that one of the other players had hearts and hence enabling him to bet more easily. 2. it should have alerted one of the two callers that he was less likely to win the main pot, hence increasing the probability that he would fold the river (if he had any brains).

These are the kind of effects that you do not want in the game. (Just imagine a hi/lo split pot game where one guys tells the another to raise so I can reraise cause I'm going high.)

Just cause you're in the hand does not mean you can say whatever you want. I've never heard of any poker environment where such a rule (official or otherwise) exists.