Draw odds

Two overcards in poker: six outs, sometimes

You missed the flop, but both your cards are higher than anything on it. Pair either one and you have top pair. Whether that wins is the real question.

You
Ace and king on a nine-high flop. Nothing yet.

Count the outs

You hold AK. The flop is 962.

  • Both cards beat the nine, the board's highest.
  • Three aces are left, and three kings.
  • Three plus three is 6 outs, to top pair.

When the outs are not outs

A flush or a straight beats almost everything. Top pair does not. Before you count these six, ask what he has.

Even on your outs, you are not safe. On the turn, after any ace or king, at least 55 of the two-card hands he could hold still beat you. Top pair is a good hand, not the best one.

The odds on each card

Cards to comeExactRule of 2 and 4
Flop to turn, one card12.8%12%
Turn to river, one card13.0%12%
Flop to river, both cards24.1%24%

Exact odds count 47 unseen cards on the flop and 46 on the turn.

Which bets you can call

He betsPriceOne cardHe is all in
a third of the pot20.0%foldcall
half the pot25.0%foldfold
two thirds of the pot28.6%foldfold
the pot33.3%foldfold

With one card to come, six clean outs cover a bet of up to about 17% of the pot. Since your outs are rarely all clean, ask for a better price than that.

Against top pair

Against 109, every turn and river dealt, your ace and king win 22.1%. That is less than the 24.1% above. Some runouts pair you once and give him two pair or trips with the other card.

Two overcards plus a backdoor flush draw is a little better. Two overcards alone are often a fold.

Other draws

Off the Felt asks which outs still win, not just which cards help you.

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