Poker odds chart: outs, odds and equity
One page with the three tables that matter: what a draw is worth, what a preflop matchup is worth, and what the common flop situations actually run at. Built to be printed.
How to use this Texas Hold’em odds chart. Count your outs, find the row, read the percentage. The flop to river column assumes you see both remaining cards; the turn to river column assumes one. Short version for the table: 4 outs ≈ 16%, 8 outs ≈ 32%, 9 outs ≈ 35% from the flop, and about half of each with one card to come.
Outs to odds: the full table, 1 to 20 outs
This is straight deck arithmetic. After the flop there are 47 cards you have not seen; after the turn, 46. The percentages say how often at least one of your outs arrives, and the odds-against column is the same fact written as a ratio — 1.9 to 1 means you miss roughly twice for every time you hit.
| Outs | Typical draw | Flop → river | Turn → river | Odds against (flop) | Odds against (turn) |
|---|---|---|---|---|---|
| 1 | Backdoor one-card miracle | 4.3% | 2.2% | 22.5 : 1 | 45.0 : 1 |
| 2 | One card to quads from a set | 8.4% | 4.3% | 10.9 : 1 | 22.0 : 1 |
| 3 | One overcard to top pair | 12.5% | 6.5% | 7.0 : 1 | 14.3 : 1 |
| 4 | Gutshot straight draw | 16.5% | 8.7% | 5.1 : 1 | 10.5 : 1 |
| 5 | One pair to two pair or trips | 20.4% | 10.9% | 3.9 : 1 | 8.2 : 1 |
| 6 | Two overcards, no draw | 24.1% | 13.0% | 3.1 : 1 | 6.7 : 1 |
| 7 | Set to a full house or quads | 27.8% | 15.2% | 2.6 : 1 | 5.6 : 1 |
| 8 | Open-ended straight draw | 31.5% | 17.4% | 2.2 : 1 | 4.8 : 1 |
| 9 | Flush draw | 35.0% | 19.6% | 1.9 : 1 | 4.1 : 1 |
| 10 | Flush draw plus one overcard | 38.4% | 21.7% | 1.6 : 1 | 3.6 : 1 |
| 11 | Open-ender plus one overcard | 41.7% | 23.9% | 1.4 : 1 | 3.2 : 1 |
| 12 | Flush draw plus a gutshot | 45.0% | 26.1% | 1.2 : 1 | 2.8 : 1 |
| 13 | Flush draw plus two overcards | 48.1% | 28.3% | 1.1 : 1 | 2.5 : 1 |
| 14 | Flush draw plus a pair | 51.2% | 30.4% | 0.95 : 1 | 2.3 : 1 |
| 15 | Open-ender plus a flush draw | 54.1% | 32.6% | 0.85 : 1 | 2.1 : 1 |
| 16 | Two pair plus a flush draw | 57.0% | 34.8% | 0.75 : 1 | 1.9 : 1 |
| 17 | Flush draw, open-ender and an overcard | 59.8% | 37.0% | 0.67 : 1 | 1.7 : 1 |
| 18 | Omaha-style wrap with a flush draw | 62.4% | 39.1% | 0.60 : 1 | 1.6 : 1 |
| 19 | Two pair plus a straight and flush draw | 65.0% | 41.3% | 0.54 : 1 | 1.4 : 1 |
| 20 | Wrap plus a flush draw | 67.5% | 43.5% | 0.48 : 1 | 1.3 : 1 |
The at-the-table shortcut is the rule of 4 and 2: multiply outs by four with two cards to come, by two with one. Compare it with the table above and you can see where it starts to flatter you — from about ten outs upward, multiply by four and then subtract the amount your outs exceed eight.
Preflop matchup chart
Every row here was computed by our own hand evaluator, enumerating every five-card board for every suit arrangement of the matchup — 20.5 million to 246.6 million deals each. These are exact figures, not samples, which is why they match the numbers in the textbooks to the decimal place.
| Hand | Against | Equity | Opponent | Tie |
|---|---|---|---|---|
| AA | KK | 81.95% | 18.05% | 0.46% |
| AA | AKs | 87.86% | 12.14% | 1.26% |
| AA | 76s | 77.53% | 22.47% | 0.36% |
| AA | 72o | 88.20% | 11.80% | 0.42% |
| KK | AKo | 69.88% | 30.12% | 0.85% |
| AKo | 56.76% | 43.24% | 0.42% | |
| AKs | 53.95% | 46.05% | 0.43% | |
| JTs | 81.67% | 18.33% | 0.40% | |
| 77 | 80.92% | 19.08% | 0.37% | |
| JJ | AQo | 56.92% | 43.08% | 0.40% |
| TT | 65s | 78.20% | 21.80% | 0.49% |
| 88 | A5s | 65.94% | 34.06% | 0.41% |
| AKo | 22 | 47.35% | 52.65% | 0.62% |
| AKo | QJs | 61.07% | 38.93% | 0.48% |
| AKs | QJo | 66.44% | 33.56% | 0.48% |
| AQo | KJo | 62.88% | 37.12% | 0.47% |
| AJo | KQo | 59.76% | 40.24% | 0.47% |
| KQs | A5o | 45.27% | 54.73% | 0.49% |
Three patterns are worth taking away. A pair against two undercards is about 80/20. A pair against two overcards is about 55/45, so the “coin flip” is not quite a flip. And domination — sharing a card with a better kicker — is worth roughly 10 points, which is why ace-rag is the hand that quietly loses the most money in small-stakes games.
Against one unknown hand
Your equity if an opponent shoves and could hold anything, every holding weighted equally.
| Hand | Equity | Hand | Equity | Hand | Equity |
|---|---|---|---|---|---|
| AA | 85.2% | 99 | 72.1% | AQs | 66.1% |
| KK | 82.3% | 77 | 66.3% | KQs | 63.2% |
| 80.0% | 22 | 50.4% | JTs | 57.5% | |
| JJ | 77.6% | AKs | 66.9% | 76s | 45.5% |
| TT | 75.0% | AKo | 65.3% | 72o | 34.7% |
400,000 simulated runouts per hand, accurate to about ±0.15 points.
Drawing hands on the flop and turn
Outs tell you how often you improve. They do not tell you how often you win, because some of the time you win without improving and some of the time you improve and still lose. These rows are exact counts of every remaining board for the cards shown — 990 runouts from the flop, 44 from the turn — so they are the real answer for the situation, not an approximation from an out count.
| Situation | Hands | Board | Outs | Equity |
|---|---|---|---|---|
| Flush draw vs an overpair | 8h7h vs AsAd | Kh 5h 2c | 9 | 38.4% |
| Nut flush draw + overcard vs top pair | Ah4h vs KdQc | Kh 9h 2s | 9 + 3 | 45.9% |
| Open-ended straight draw vs an overpair | JcTd vs AsAd | 9h 8d 2c | 8 | 34.2% |
| Gutshot vs an overpair | Jc9d vs AsAd | 8h 7d 2c | 4 | 20.3% |
| Two overcards vs a small pair | AcKd vs 5s5h | Jd 8c 3h | 6 | 26.5% |
| Flush draw + open-ender vs top pair | 9h8h vs AsKd | Ah 7h 6c | 15 | 56.8% |
| Pair + flush draw vs top pair | Th9h vs AsTd | Ts 8h 2h | 9 + 4 | 49.1% |
| Flush draw vs a set | AhKh vs 7c7d | 7s 5h 2h | 9 | 25.6% |
| Flush draw vs two pair | KhQh vs Ac8d | As 8h 3h | 9 | 31.0% |
| Flush draw vs an overpair, on the turn | 8h7h vs AsAd | Kh 5h 2c Qs | 9 | 20.5% |
| Open-ender vs an overpair, on the turn | JcTd vs AsAd | 9h 8d 2c 3s | 8 | 18.2% |
| No draw at all vs top pair | Jc9d vs AsKd | Ah 7c 2s | 0 | 3.1% |
Notice the first row against the second. A bare flush draw against an overpair is 38.4%, but add an overcard that can win unimproved and the same nine-card draw is worth 45.9%. That is the gap between counting outs and counting equity, and it is the reason a calculator is worth having.
How these numbers were produced
The outs table is combinatorics: for o outs, the chance of missing both cards is the number of two-card combinations from the remaining non-outs divided by all two-card combinations, and the hit percentage is one minus that. The equity tables come from our own Hold’em evaluator — an independent implementation of public poker mathematics, the hand-ranking rules plus counting the deck — which ranks every seven-card hand and tallies the results. It is the same engine that runs inside the poker equity calculator, where you can reproduce any row on this page in a second or two.
Related pages
Frequently asked questions
How do I read a poker odds chart?
Find the row for your number of outs. The flop-to-river column is your chance of getting there if you see both the turn and the river; the turn-to-river column is your chance with one card left. The odds-against column says the same thing as a ratio, which is how old-school players quote it: 9 outs is about 1.9 to 1 against from the flop.
What are outs in poker?
Outs are the unseen cards that turn your hand into the winner. A flush draw has nine, because thirteen cards of each suit exist and you can see four of them. An open-ended straight draw has eight. A gutshot has four. Discount any out that also completes a better hand for your opponent.
Why does this chart show 35% for nine outs when the 4/2 rule says 36%?
Because multiplying by four adds your turn chance to your river chance without removing the boards where you hit on both, so it overstates a little. The error is under two points up to nine outs and grows from there. The chart shows the true figures from the deck arithmetic; the 4/2 rule is the at-the-table approximation.
Is this a Texas Hold’em odds chart or does it work for Omaha?
Hold’em. The outs arithmetic assumes 47 unseen cards after the flop and two hole cards per player, and the matchup percentages were computed for two-card Hold’em hands. Omaha has four hole cards, far more combinations, and much flatter equities.
Where do the preflop percentages come from?
They were computed for this page by our own evaluator, enumerating every possible five-card board for every suit arrangement of each matchup — between 20.5 million and 246.6 million deals per row. They are exact, not sampled, and they match the standard published figures.
Can I print this chart?
Yes. The page is laid out so that printing it, or saving it as a PDF, gives you the tables on a clean white background with the navigation and the calls to action removed. Use your browser’s print command.
Do I need to memorise the whole chart?
No. Six rows cover almost everything: 4 outs is about 16%, 8 outs about 32%, 9 outs about 35% from the flop, and roughly half of each of those with one card to come. Everything else you can work out from the rule of 4 and 2.