[xorbie]

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yeah you are right.

then it becomes a second barrel frequency game.

I think it is typically a bad idea to check the turn then bet the river though, unless if you want to do so with an overpair to exploit the low folding equity of the "raise preflop, bet the flop, check the turn, bet the river" line.

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Yeah, check behind turn bet river is the worst ever line with UI AK. It's pretty solid with TP+ though in certain situations.