[Wynton]

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If he will automatically bet when checked to then I think betting becomes much more appealing

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You should think a little more about that statement.

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I know it sounds nonsensical and I think our disagreement is with your opinion that we have zero folding equity and that there are some busted draws that he will fold. If you take my perspective on the prospects that he will fold, then I think my statement above makes perfect sense under the assumption that I wouldn't under any circumstances check-call this river. In other words checking is an implicit concession on my part because he will always bet and I will always fold.

Cartman

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I don't get this, Cartman. If you know villain will automatically bet the river when you check, why isn't that an argument in favor of check/calling?

I actually think the best play is check/fold, but I disagree that the villain's tendency to bluff at the river is a factor in favor of betting the river yourself.