[Aaron W.]

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Well, I've been thinking about this. This post maybe will be half right, but I'll get the discussion going. This is very important to understand to be a good winning player.

Bet Fold
1) You have to have a good hand. (Overpair, TPTK, etc)
2) Your opponents will call with weaker hands if you bet, but check behind with the same hands
3) They wont bluff raise the river
4) He will bet hands that beat you if he is checked to.

Check Call

1) You have enough of a hand that you can't fold, but its still marginal
2) Worse hands have a difficult time calling a bet
3) Better hands may check behind
4) You may induce a bluff

Check Fold

1) You have a holding that is not strong at all.
2) Your opponents have shown that you are beat on previous streets

Bet/Call

1) You have enough of a hand that betting will show a profit.
2) You dont want worse hands to check behind
3) Its possible for him to bluff raise the river
4) He may raise hands that you beat (top 2 pair vs your bottom set)

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Looks pretty good. There's an entire chapter about heads up at the end in Theory of Poker. It's definitely worth reading if you haven't read it in a while (or haven't read it ever).

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edit: I have no opinion thus far.

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