[bigredlemon]

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There isn't any point at which I put chips into this pot. Ray's book lists 15 categories of hands, some of which I almost never play. AT4 doesn't fit any of them.

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This statement is stupid. Ray's book is mainly geared towards full ring cash games. This is a 3 handed tournament situation. This is an easy raise, especially since the one dude has a 9 door. The only reason I might not raise is if the bring-in is super aggressive, but that is pretty rare in these things.

I don't see how you can fold to the rr on 3rd getting such good odds.

That said, I'd check fold 4th. Best case scenario is he has something like 747A, but even then you only have like 54% equity.

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Hero has a T door. Quite possibly the worse door card in the game. Villain has 7, a decent respectable card. Even if he gives you credit for a range of tens or 3 strong broadways, pretty much most of his possible down cards are going to be at least even money with you. Why wouldn't he look you up? He can get away easy if he misses and traps you easily if he has a hand.

Hero is risking 900 to win 600. He has to be right something like 75% of the time. Given the upcards and position the bring in is going to play back at him at least 50% of the time. It's throwing money away without a specific read.