Poker odds calculator
Pot odds, outs and starting-hand combinations for Texas Hold’em.
Two ranks (2 to 9, T, J, Q, K, A), then s for suited or o for offsuit: AA, AKs, T9o, 76.
How do I calculate pot odds?
Pot odds compare what you must pay to call with what you can win. If the pot holds 100 before your opponent bets 50, calling costs 50 to win 150 (the pot plus their bet): 3.0 to 1. Your break-even equity is the call divided by the final pot including your call: 50 ÷ (100 + 50 + 50) = 25%. If you win the hand more than a quarter of the time, calling makes money in the long run; if less, it loses.
What is the expected value of a call?
EV = equity × (pot + bet) − (1 − equity) × call. In the same spot with 35% equity, EV = 0.35 × 150 − 0.65 × 50 = 20.00; with 20% equity it is -10.00. At exactly 25% the EV is zero. EV is an average over many hands, not what happens in one: a profitable call still loses much of the time.
What are outs?
Outs are the unseen cards that would make your hand the likely winner. A flush draw has 9 outs: there are 13 cards of a suit, and you can see 4 of them (two in your hand, two on the board). An open-ended straight draw has 8, a gutshot 4, two overcards to a pair 6. The count assumes none of your outs also helps your opponent, which is not always true: a card that completes your flush can also pair the board.
What is the rule of 2 and 4?
A mental shortcut: multiply your outs by 4 on the flop, with two cards to come, or by 2 on the turn, with one card to come, to estimate your chance in percent of hitting by the river. The exact value on the flop is 1 − C(47 − outs, 2) ÷ C(47, 2). For a flush draw the rule gives 36% and the exact answer is 35.0% (378 of 1081 two-card combinations contain an out). The rule works well for small draws (8 outs: 32% against 31.5%) and drifts for big ones: with 15 outs it says 60% but the exact answer is 54.1%.
Should I use the flop number or the turn number to decide a call?
It depends on whether you will see both cards. If the opponent is all-in on the flop and no more betting is possible, your chance to hit by the river, 35.0% for a flush draw, is the one to compare with your pot odds. If you will have to pay again on the turn, the relevant number for this decision is closer to the one-card figure, 19.6%. With a bet of 50 into 100 you need 25%: the flush draw clears it if you see both cards and falls short if you do not, unless you expect to win more when you hit (implied odds).
How many starting hands are there?
There are C(52, 2) = 1,326 two-card starting hands. A specific pocket pair such as AA can be dealt in 6 ways (0.45%, 1 in 221), because there are 4 aces and 4 × 3 ÷ 2 = 6 pairs of them. A specific suited hand such as AKs has 4 combinations (one per suit), an offsuit hand such as AKo has 12 (4 × 3), and any ace-king, suited or not, has 16.
What are the chances of making a flush?
If you hold two suited cards, the chance that at least three of the five board cards are your suit (which gives you a flush by the river) is 6.4%, about 1 in 16. It comes from the hypergeometric formula over the 11 cards of your suit among the 50 unseen cards. This is the rate before the flop. Once you have flopped four to a flush the number is the 9-out draw: 35.0% to complete by the river.
How the three modes work
Pot odds: enter the pot before your opponent's bet and the bet; the calculator shows the break-even equity and, if you also enter your estimated equity, the expected value of calling. The table at the bottom shows the equity needed against other bet sizes: a bet of half the pot asks for 25%, a pot-sized bet for 33.3%, and a bet of twice the pot for 40%. Outs: enter the number of outs and the street; you get the exact chance, the rule-of-thumb figure and the common draws. Starting hands: enter a hand like AKs and see how many of the 1,326 combinations match it.
Worked example
You hold two hearts and the flop brings two more, so you have a flush draw with 9 outs. The opponent bets 50 into a pot of 100. Calling costs 50 to win 150, so you need 25% equity. With 47 unseen cards, 1081 possible turn-and-river pairs and 703 of them containing no heart, the chance to complete by the river is 1 − 703/1081 = 34.97%, and by the turn alone 9/46 = 19.6%. If all the chips go in now, the call is worth +20.00 at 35% equity; if you pay again on the turn, the true price is higher. The pairs of unseen cards are counted as combinations, not as a product of independent draws.
Common mistakes
Confusing pot odds with equity: 3.0 to 1 is a ratio, 25% the matching percentage. Counting the pot without the opponent's bet, or forgetting your own call in the final pot. Doubling the hit chance from the turn to the river: two cards give 1 − (38/47 × 37/46) = 35.0%, not 2 × 19.6%. Counting outs that also improve the opponent's hand, or that are already in their hand. Treating an estimate of your equity as a fact: against a range of hands your equity is a guess, and the whole result depends on it. Treating the rule of 4 as exact for large draws, where it overstates (60% against 54.1% for 15 outs).
Limits of this method
Everything here is exact arithmetic on a 52-card deck with the cards you can see removed. It does not know what your opponent holds, how they will play later streets, how much is behind, the rake, position, tournament payouts or bluffing. It also treats a draw as a win: hitting 4 outs for a straight can still lose to a flush, and 16.5% is the chance for a gutshot to hit, not to win. A solver or a hand-equity tool that takes ranges is the next step. Poker involves skill and chance; none of this guarantees profit. Gambling can become a problem: the National Problem Gambling Helpline, 1-800-MY-RESET (1-800-697-3738), offers confidential help by call, text or chat, free and open 24 hours a day (National Council on Problem Gambling, checked October 27, 2026).
Common draws on the flop
| Draw | Outs | Exact, by the river | Rule of 4 |
|---|---|---|---|
| Gutshot straight draw | 4 | 16.5% | 16% |
| Two overcards | 6 | 24.1% | 24% |
| Open-ended straight draw | 8 | 31.5% | 32% |
| Flush draw | 9 | 35.0% | 36% |
| Flush draw + open-ended straight draw | 15 | 54.1% | 60% |
For example, two overcards have 6 outs (24.1% exact) when one pair is enough to win. Outs counts are the usual ones for these draws and assume that none of them helps the opponent.
For education and entertainment: this calculator does not predict results, and gambling involves the risk of losing money. If gambling is causing you or someone you know problems, the National Problem Gambling Helpline offers free, confidential help 24 hours a day by call, text or chat at 1-800-MY-RESET (1-800-697-3738); in a crisis call 911 or 988 (National Council on Problem Gambling, ncpgambling.org, checked October 27, 2026). Players must meet the legal age in their state. The formulas are standard combinatorics (hypergeometric distribution). Related: dice probability calculator, lottery odds calculator, odds calculator, expected value calculator, hypergeometric calculator. How we check our calculators.