[dave44]

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I'd much rather check/call the turn and reevaluate the river whether it's worth seeing a showdown.

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Suppose in this hand, I check-called the turn, that river hit and he bet again. You calling the river on this board?

I've found very few spots where I've decided my king high was worth showing down. I'd probably be most inclined to call a river bet if the river paired a high card on the board or an ace hit.