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Poker outs calculator: your odds of hitting a draw

An out is a card that turns your hand into the likely winner. Enter how many you have to see the exact chance of hitting and how close the quick rule of 2 and 4 comes.

Exact chance to hit
35.0%
Rule of 4 and 2
36.0%
Odds against
1.9 : 1

Working it out

Example: a flush draw on the flop has 9 outs. With 47 cards unseen, the exact chance to hit by the river is 1 − (38 × 37) ÷ (47 × 46) = 35.0%; the rule of 4 says 9 × 4 = 36%. On the turn, with one card to come, it is 9 ÷ 46 = 19.6%, and the rule of 2 says 18%.

Formula

Flop, two cards to come: 1 − C(47 − outs, 2) ÷ C(47, 2). Turn, one card to come: outs ÷ 46. Rule of 4 and 2: outs × 4 on the flop, outs × 2 on the turn.

Every out is counted as a clean winner. An out that also improves your opponent, or that they already block, is worth less.

Compare common situations

OutsFrom the flop: turn and riverFrom the turn: river only
14.3%2.2%
28.4%4.3%
312.5%6.5%
416.5%8.7%
520.4%10.9%
624.1%13.0%
727.8%15.2%
831.5%17.4%
935.0%19.6%
1038.4%21.7%
1141.7%23.9%
1245.0%26.1%
1348.1%28.3%
1451.2%30.4%
1554.1%32.6%
1657.0%34.8%
1759.8%37.0%
1862.4%39.1%
1965.0%41.3%
2067.5%43.5%
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Free to use on any site or blog: paste this code where the calculator should appear. It keeps a small link back to Poker Math Coach.

Common questions

Should I add my flush and straight outs together?

Count each unseen card only once. A card that completes both draws is still one out. Discount cards that could give your opponent a better hand.

Does hitting an out guarantee I win?

No. This calculator measures hitting one of your assumed clean outs. Opponents can have stronger draws or improve again. For a specific matchup, compare the actual hands and board in the equity lab.

Learn the idea step by step: Counting outs: clean and tainted

Practice with new numbers in the app

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