2/4 B&M - I don't raise a single time with KK; standard?

[B_Movie_Fan]

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Fold this on the turn, your KK are just another underpair drawing to two outs.

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Uhm, no. Count the bets; he's getting 21.5:1 right now. Couple that with implied odds on the river and you have a clear-cut call.

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Turn is a little thin but I'm ok with the call. Problems are that the pot isn't quite as big as it seems when you consider rake+tip and some of them you are going to be drawing dead to AA.

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Now this is solid reasoning, although even taking out a full BB plus tip still implies 20:1, which is closer but still almost certainly a call to hit a 23-1 shot. On the river I'd expect to make about 4 bets on average or so (obviously an approximation).