[bozlax]

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Betting here does provide you with enough information to safely check-fold the river...

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It does? Would you say the same thing if Hero had bet the river and Vill had folded?

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And I think it's very likely that all the worse hands will fold to this bet whereas better hands will raise.

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Two pair or a set would be insane to raise on a four-flush board without a piece of it.

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AK w/o the spade is the only better hand he might fold against aggression.

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I'm actually quite surprised that Vill didn't fold his T-high flush.

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If villain checks behind on turn, definitely bet the river.

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Because nobody ever slow-plays a made flush with position on the turn, right?