Preflop matchups (exact)
| Matchup | Hand 1 | Hand 2 | Equity |
|---|---|---|---|
| Pair vs lower pair | A♥A♦ | K♠K♣ | 81.3% / 18.7% |
| Pair vs dominated ace | A♥A♦ | A♠K♠ | 87.9% / 12.1% |
| Aces vs suited connector | A♥A♦ | 7♠6♠ | 77.0% / 23.0% |
| Kings vs AK suited | K♠K♣ | A♥K♥ | 65.9% / 34.1% |
| Queens vs AK suited | Q♥Q♦ | A♠K♠ | 53.8% / 46.2% |
| Queens vs AK offsuit | Q♥Q♦ | A♠K♥ | 56.8% / 43.2% |
| Mid pair vs AK suited | 8♥8♦ | A♠K♠ | 52.3% / 47.7% |
| Deuces vs AK offsuit | 2♥2♦ | A♠K♥ | 52.7% / 47.3% |
| Small pair vs suited connectors | 5♥5♦ | J♠T♠ | 47.5% / 52.5% |
| AK vs AQ suited | A♥K♦ | A♠Q♠ | 69.7% / 30.3% |
| AK vs QJ suited | A♥K♦ | Q♠J♠ | 60.4% / 39.6% |
| AK vs 76 suited | A♥K♦ | 7♥6♥ | 59.1% / 40.9% |
| AQ vs KJ suited | A♥Q♦ | K♠J♠ | 58.6% / 41.4% |
| KQ vs JT suited | K♥Q♦ | J♠T♠ | 60.3% / 39.7% |
| AA vs KK, shared suits | A♥A♦ | K♥K♦ | 82.6% / 17.4% |
Equity against several random opponents
| Hand | 1 opp. | 2 | 3 | 4 | 5 | 8 |
|---|---|---|---|---|---|---|
| AA | 85.0% | 73.6% | 63.7% | 55.8% | 49.1% | 34.5% |
| KK | 82.3% | 68.9% | 58.1% | 49.9% | 42.8% | 29.1% |
| 79.9% | 65.0% | 53.5% | 44.9% | 37.9% | 25.0% | |
| AKs | 67.0% | 50.9% | 41.2% | 35.5% | 31.0% | 22.7% |
| AKo | 65.3% | 48.4% | 38.3% | 32.4% | 27.7% | 19.3% |
| JTs | 57.5% | 42.1% | 34.0% | 28.6% | 24.9% | 18.1% |
| 76s | 45.5% | 31.8% | 25.0% | 20.8% | 18.1% | 13.1% |
| 22 | 50.4% | 30.7% | 21.9% | 17.7% | 15.6% | 12.6% |
Monte Carlo with 200,000 deals per cell; margin about ±0.2%. Note how 76s overtakes 22 once three or more opponents are in the pot.
Drawing odds by outs
| Outs | Draw | Next card | By the river | Odds against |
|---|---|---|---|---|
| 2 | Pocket pair to a set | 4.3% | 8.4% | 10.9 : 1 |
| 4 | Gutshot | 8.5% | 16.5% | 5.1 : 1 |
| 6 | Two overcards | 12.8% | 24.1% | 3.1 : 1 |
| 8 | Open-ended straight draw | 17.0% | 31.5% | 2.2 : 1 |
| 9 | Flush draw | 19.1% | 35.0% | 1.9 : 1 |
| 12 | Flush draw + gutshot | 25.5% | 45.0% | 1.2 : 1 |
| 15 | Flush draw + open-ender | 31.9% | 54.1% | 0.85 : 1 |
The full list with 16 draws is on the outs calculator.
Being dealt and flopping
| Event | Probability | Odds against |
|---|---|---|
| Pocket aces | 0.45% | 220 : 1 |
| Any pocket pair | 5.9% | 16 : 1 |
| AK (suited or not) | 1.2% | 82 : 1 |
| Two suited cards | 23.5% | 3.3 : 1 |
| Flop a set with a pair | 11.8% | 7.5 : 1 |
| Flop a flush draw with suited cards | 10.9% | 8.2 : 1 |
| Flop a flush with suited cards | 0.84% | 118 : 1 |
| Flop two pair with unpaired cards | 2.0% | 49 : 1 |
| Flop at least a pair with unpaired cards | 32.4% | 2.1 : 1 |
| Flop an overpair or better with AA | 88.2% | – |
Frequently asked questions
What are the odds of being dealt pocket aces?
6 of 1,326 combinations: 0.45%, or 220 : 1 against. Any pocket pair is 5.9% (16 : 1), AK is 1.2% (82 : 1).
How often does a flush draw hit?
19.1% on the next card from the flop, 19.6% on the river, 35.0% by the river with two cards to come. About 1.9 : 1 against.
How often do I flop a set with a pocket pair?
11.8% of the time, about 7.5 : 1. Over the whole hand a pair improves to a set or better roughly 19% of the time.