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I'm confused. So if you flop a hand with 12 outs you should push with it? Is that a joke or for real? And if thats serious, then help me understand why. 3:1, does that mean that you will make the hand 1 in 3 times? To me if you push and get called every time you only win 1 of 3 thats not good news. I'm sure I'm not thinking rationally, help me out here.

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3:1 = in four times, you miss 3 times and hit once. 3:1 = 25%, 2:1 = 33.3%, etc

Pushing with a draw where you are a slight dog, dead even, or slight favorite is done because there is money already in the pot, you generate fold equity, and you get to see both cards if called. You aren't 3:1 with that type of draw, thats just an estimate for one card to come. Even a bare flush draw is ~2:1 seeing two cards.