[btspider]

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Clearly BB wasn't impressed by his hand pre flop, or he would have bet it. My thinking is that a baby flush is highly likely, followed by a two pair/set. He could even have Axs. It's the case of only getting called by hands who have you beat, and the risk of getting C/R. I don't think you'll get more than one caller either ...

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you are thinking WAY too scared. when he sees the flop, we can narrow BB's holding to... any 2. many typical players will not raise out of the blinds.. except with big pairs or AK. putting BB on two pair, a set, or a baby flush from a flop/turn bet and river check is not a healthy attitude. if anything, it looks like Tx or 9x which is scared of the face card on the river. he saw the flop with any 2, he will have a worse hand far more often than not.

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All in all, if betting for value here is +EV, it's only slightly so IMO. So checking here is fine, it's not a big mistake.

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not betting this river is a huge mistake.. not for this single occurence in particular, but because it comes up quite frequently. if you cannot find a river value bet here, you are passing up on many profitable river bets.