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This also works in reverse. By that I mean if is correct for Villain to call then it can't be correct for you to push. And if you can't push then you check behind. If you had been kind enough to put pot sizes on flop and turn this would be an easy calc. As it is it's too much trouble. You'll have to do it yourself.

I think it'll be close, therefore not a 100% push. If so, check behind and push the river on a blank.

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In case it hasn't been stressed enough this logic is seriously flawed. I in no way, mean to offend the poster. Its just a common misconception thats all.