What poker odds are
Poker odds are the probability that your hand wins the pot, given the cards you can see and the cards still to come. Before the flop they depend only on your two cards and how many opponents you face; after the flop they depend on your outs, the cards that improve your hand, and on how many are left in the deck. This calculator gives both: your overall chance to win, tie or lose, and the exact odds of hitting your outs on the turn and river.
Key facts
- After the flop there are 47 unseen cards; each out is worth about 2% per card to come.
- A flush draw (9 outs) hits 35% of the time by the river; an open-ended straight draw (8 outs) 32%; a gutshot (4 outs) 16.5%.
- Pocket aces win 85% against one random hand, but only 50% against five.
- Odds vs random hands are an estimate from thousands of simulated deals; against known hands, use the hand calculator for exact results.
How to use the odds calculator
- Enter your handTap the card slots and pick your two cards (four in Omaha). The odds appear as soon as both are in.
- Choose opponentsPick how many players are against you, from one to five. Their cards are unknown, so the calculator deals them random hands.
- Add the boardEnter the flop, turn and river as they come. In Hold’em the calculator also lists your outs and the chance of hitting them.
Poker outs table
Chance of hitting at least one of your outs. “By the river” assumes you see both the turn and the river; the turn and river columns are the odds for a single card.
| Outs | Turn | River | By the river | Typical draw |
|---|---|---|---|---|
| 1 | 2.1% | 2.2% | 4.3% | Backdoor draw, one card |
| 2 | 4.3% | 4.3% | 8.4% | Pocket pair to a set |
| 3 | 6.4% | 6.5% | 12.5% | One overcard to pair |
| 4 | 8.5% | 8.7% | 16.5% | Gutshot (inside straight) |
| 5 | 10.6% | 10.9% | 20.4% | Pair to two pair or trips |
| 6 | 12.8% | 13.0% | 24.1% | Two overcards |
| 7 | 14.9% | 15.2% | 27.8% | |
| 8 | 17.0% | 17.4% | 31.5% | Open-ended straight draw |
| 9 | 19.1% | 19.6% | 35.0% | Flush draw |
| 10 | 21.3% | 21.7% | 38.4% | Gutshot + two overcards |
| 11 | 23.4% | 23.9% | 41.7% | |
| 12 | 25.5% | 26.1% | 45.0% | Flush draw + gutshot |
| 13 | 27.7% | 28.3% | 48.1% | |
| 14 | 29.8% | 30.4% | 51.2% | Flush draw + pair |
| 15 | 31.9% | 32.6% | 54.1% | Flush draw + open-ended straight draw |
| 16 | 34.0% | 34.8% | 57.0% | |
| 17 | 36.2% | 37.0% | 59.8% | Flush draw + straight draw + overcard |
| 18 | 38.3% | 39.1% | 62.4% | |
| 19 | 40.4% | 41.3% | 65.0% | |
| 20 | 42.6% | 43.5% | 67.5% | Flush draw + straight draw + two overcards |
The rule of 2 and 4
You will not carry a table to the table. The shortcut: on the flop, multiply your outs by 4 for the chance to hit by the river; on the turn, multiply by 2 for the chance to hit on the river. Nine flush outs become 36% on the flop (exact: 35%) and 18% on the turn (exact: 19.6%). The rule overshoots with big draws: above 12 outs, subtract one point for each out over 12, so 15 outs is about 60 − 3 = 57% (exact: 54%).
Common pre-flop matchups
Heads-up equities from 20,000 simulated deals per matchup. The pattern to remember: a higher pair is a 4-to-1 favourite over a lower pair, a pair against two overcards is a coin flip, and a dominated hand (same high card, worse kicker) is in deep trouble.
| Matchup | First hand | Second hand | Note |
|---|---|---|---|
| A-A vs K-K | 83% | 17% | Higher pair dominates. |
| A-K suited vs Q-Q | 46% | 54% | The classic coin flip. |
| A-K offsuit vs 2-2 | 47% | 53% | Even the smallest pair is a slight favourite. |
| 9-9 vs A-K suited | 52% | 48% | Middle pair edges two overcards. |
| A-K suited vs J-10 suited | 61% | 39% | Two overcards beat two live connectors. |
| A-Q offsuit vs A-K offsuit | 26% | 74% | Domination: the same ace, a worse kicker. |
| K-Q suited vs A-2 offsuit | 45% | 55% | An ace is an ace, but only just. |
| A-K suited (flush draw) vs 7-7 (set) on 9♠ 5♠ 7♥ | 26% | 74% | A set holds against the nut flush draw with two overcards. |
Odds against several opponents
Every extra player at the table takes a slice of your equity. Pocket aces win 85% of the time heads-up, 73% against two random hands, 63% against three and 50% against five: still the best hand, but a coin flip in a family pot. A-K suited drops from 67% heads-up to 41% against three. That is why strong hands raise before the flop: fewer opponents means more equity.
At the other end, 7-2 offsuit, the worst starting hand, still wins 34% against one random hand. No hand is dead before the flop, and no hand is safe. For which hands to open from each seat, see poker positions.
Pot odds: when a call is worth it
Knowing your equity only pays off when you compare it with the price. Pot odds are the share of the final pot you have to put in to call. If the pot is 100 and your opponent bets 50, you call 50 to win 200, so you need to win more than 50 ÷ 200 = 25% of the time. A flush draw on the flop (35% by the river) is a profitable call; a gutshot (16.5%) is not, unless you expect to win extra bets when you hit.
On the turn only one card comes, so use the single-card column of the table: the same flush draw is now 19.6%, and the same bet of 50 into 100 is no longer a call on its own. For what beats what once the cards are out, see the hand rankings, and to settle a showdown between known hands use the poker hand calculator.
Poker odds calculator FAQ
What is a poker odds calculator?
A poker odds calculator works out how often your hand wins against one or more opponents by dealing out the remaining cards thousands of times (or every possible way, when few cards are left) and counting the results. The answer is your equity: the share of the pot you win on average. This calculator also lists your outs, the cards that improve your hand, and the chance of hitting one on the turn or river.
What are outs in poker?
Outs are the unseen cards that improve your hand. With four cards to a flush on the flop you have 9 outs (the 13 cards of the suit minus the 4 you can see); with an open-ended straight draw you have 8. Count your outs, then use the rule of 2 and 4 or the table on this page to turn them into a percentage.
How do you calculate poker odds?
After the flop there are 47 unseen cards (52 minus your 2 and the 3 on the board). The chance of hitting one of your outs on the turn is outs ÷ 47; on the river it is outs ÷ 46. The chance of hitting by the river is 1 minus the chance of missing twice. Nine flush outs give 19% on the turn, 20% on the river and 35% over both.
What is the rule of 2 and 4?
A shortcut: multiply your outs by 4 on the flop for the chance to hit by the river, or by 2 on the turn for the chance to hit on the river. Nine outs on the flop ≈ 36% (exact 35%); nine outs on the turn ≈ 18% (exact 19.6%). It overestimates slightly above 12 outs; subtract one point per out over 12.
What are the odds of hitting a flush draw?
With a four-card flush draw on the flop (9 outs) you complete the flush about 35% of the time by the river: 19% on the turn and, if you miss, 20% on the river.
What are the odds of hitting an open-ended straight draw?
Eight outs: about 17% on the turn and 32% by the river. A gutshot (inside straight draw) has 4 outs: 8.5% on the turn and 16.5% by the river.
How often do pocket aces win?
Against one random hand pocket aces win about 85% of the time. Against two random hands 73%, against three 63% and against five about 49%. The more players see the flop, the less any single hand is worth.
What is the difference between odds and equity?
Equity is your share of the pot as a percentage (for example 35%). Odds express the same thing as a ratio of losing to winning: 35% equity is roughly 1.9-to-1 against. Pot odds compare the price of a call with the size of the pot; a call is profitable when your equity is higher than the share of the pot you have to put in.
Does the calculator know what my opponents hold?
No. Opponents are dealt random cards, which is the right assumption when you have no information about them. Real opponents play stronger-than-random hands, so against players who only enter pots with good cards your true equity is a little lower than the number shown. To compare two known hands, use the hand calculator.
Is the poker odds calculator free?
Yes. It runs in your browser, needs no download or account and sends nothing to a server.