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popular queries: AAA, AKK, AKQ, ... |
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| non-flush example | flush example |
| distribution of hand types | ||||
|---|---|---|---|---|
| distinct | combinations | probability | odds | |
| royal flush | 0 | 0 | impossible | impossible |
| straight flush | 0 | 0 | impossible | impossible |
| four of a kind | 12 | 48 | 1.05% | 1 : 94.0 |
| full house | 12 | 288 | 6.32% | 1 : 14.8 |
| flush | 0 | 0 | impossible | impossible |
| straight | 0 | 0 | impossible | impossible |
| three of a kind | 66 | 4,224 | 92.63% | 12.6 : 1 |
| two pairs | 0 | 0 | impossible | impossible |
| one pair | 0 | 0 | impossible | impossible |
| high card | 0 | 0 | impossible | impossible |
| total | 90 | 4,560 | 100 % | |
| ranking of all 90 distinct hole cards | |||||||
|---|---|---|---|---|---|---|---|
| hole cards | hand | category | combinations | probability | odds | equity | |
| nuts | AK | AKKKK | four of a kind | 4 | 0.09% | 1 : 1139 | 100.00% |
| 2 | KQ | KKKKQ | four of a kind | 4 | 0.09% | 1 : 1139 | 99.91% |
| 3 | KJ | KKKKJ | four of a kind | 4 | 0.09% | 1 : 1139 | 99.82% |
| 4 | KT | KKKKT | four of a kind | 4 | 0.09% | 1 : 1139 | 99.74% |
| 5 | K9 | KKKK9 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.65% |
| 6 | K8 | KKKK8 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.56% |
| 7 | K7 | KKKK7 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.47% |
| 8 | K6 | KKKK6 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.39% |
| 9 | K5 | KKKK5 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.30% |
| 10 | K4 | KKKK4 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.21% |
| 11 | K3 | KKKK3 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.12% |
| 12 | K2 | KKKK2 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.04% |
| 13 | AA | AAKKK | full house | 24 | 0.53% | 1 : 189 | 98.95% |
| 14 | KKKQQ | full house | 24 | 0.53% | 1 : 189 | 98.42% | |
| 15 | JJ | KKKJJ | full house | 24 | 0.53% | 1 : 189 | 97.89% |
| 16 | TT | KKKTT | full house | 24 | 0.53% | 1 : 189 | 97.37% |
| 17 | 99 | KKK99 | full house | 24 | 0.53% | 1 : 189 | 96.84% |
| 18 | 88 | KKK88 | full house | 24 | 0.53% | 1 : 189 | 96.32% |
| 19 | 77 | KKK77 | full house | 24 | 0.53% | 1 : 189 | 95.79% |
| 20 | 66 | KKK66 | full house | 24 | 0.53% | 1 : 189 | 95.26% |
| 21 | 55 | KKK55 | full house | 24 | 0.53% | 1 : 189 | 94.74% |
| 22 | 44 | KKK44 | full house | 24 | 0.53% | 1 : 189 | 94.21% |
| 23 | 33 | KKK33 | full house | 24 | 0.53% | 1 : 189 | 93.68% |
| 24 | 22 | KKK22 | full house | 24 | 0.53% | 1 : 189 | 93.16% |
| 25 | AQ | AKKKQ | three of a kind | 64 | 1.40% | 1 : 70.3 | 92.63% |
| 26 | AJ | AKKKJ | three of a kind | 64 | 1.40% | 1 : 70.3 | 91.23% |
| 27 | AT | AKKKT | three of a kind | 64 | 1.40% | 1 : 70.3 | 89.82% |
| 28 | A9 | AKKK9 | three of a kind | 64 | 1.40% | 1 : 70.3 | 88.42% |
| 29 | A8 | AKKK8 | three of a kind | 64 | 1.40% | 1 : 70.3 | 87.02% |
| 30 | A7 | AKKK7 | three of a kind | 64 | 1.40% | 1 : 70.3 | 85.61% |
| 31 | A6 | AKKK6 | three of a kind | 64 | 1.40% | 1 : 70.3 | 84.21% |
| 32 | A5 | AKKK5 | three of a kind | 64 | 1.40% | 1 : 70.3 | 82.81% |
| 33 | A4 | AKKK4 | three of a kind | 64 | 1.40% | 1 : 70.3 | 81.40% |
| 34 | A3 | AKKK3 | three of a kind | 64 | 1.40% | 1 : 70.3 | 80.00% |
| 35 | A2 | AKKK2 | three of a kind | 64 | 1.40% | 1 : 70.3 | 78.60% |
| 36 | QJ | KKKQJ | three of a kind | 64 | 1.40% | 1 : 70.3 | 77.19% |
| 37 | QT | KKKQT | three of a kind | 64 | 1.40% | 1 : 70.3 | 75.79% |
| 38 | Q9 | KKKQ9 | three of a kind | 64 | 1.40% | 1 : 70.3 | 74.39% |
| 39 | Q8 | KKKQ8 | three of a kind | 64 | 1.40% | 1 : 70.3 | 72.98% |
| 40 | Q7 | KKKQ7 | three of a kind | 64 | 1.40% | 1 : 70.3 | 71.58% |
| 41 | Q6 | KKKQ6 | three of a kind | 64 | 1.40% | 1 : 70.3 | 70.18% |
| 42 | Q5 | KKKQ5 | three of a kind | 64 | 1.40% | 1 : 70.3 | 68.77% |
| 43 | Q4 | KKKQ4 | three of a kind | 64 | 1.40% | 1 : 70.3 | 67.37% |
| 44 | Q3 | KKKQ3 | three of a kind | 64 | 1.40% | 1 : 70.3 | 65.96% |
| 45 | Q2 | KKKQ2 | three of a kind | 64 | 1.40% | 1 : 70.3 | 64.56% |
| 46 | JT | KKKJT | three of a kind | 64 | 1.40% | 1 : 70.3 | 63.16% |
| 47 | J9 | KKKJ9 | three of a kind | 64 | 1.40% | 1 : 70.3 | 61.75% |
| 48 | J8 | KKKJ8 | three of a kind | 64 | 1.40% | 1 : 70.3 | 60.35% |
| 49 | J7 | KKKJ7 | three of a kind | 64 | 1.40% | 1 : 70.3 | 58.95% |
| 50 | J6 | KKKJ6 | three of a kind | 64 | 1.40% | 1 : 70.3 | 57.54% |
| 51 | J5 | KKKJ5 | three of a kind | 64 | 1.40% | 1 : 70.3 | 56.14% |
| 52 | J4 | KKKJ4 | three of a kind | 64 | 1.40% | 1 : 70.3 | 54.74% |
| 53 | J3 | KKKJ3 | three of a kind | 64 | 1.40% | 1 : 70.3 | 53.33% |
| 54 | J2 | KKKJ2 | three of a kind | 64 | 1.40% | 1 : 70.3 | 51.93% |
| 55 | T9 | KKKT9 | three of a kind | 64 | 1.40% | 1 : 70.3 | 50.53% |
| 56 | T8 | KKKT8 | three of a kind | 64 | 1.40% | 1 : 70.3 | 49.12% |
| 57 | T7 | KKKT7 | three of a kind | 64 | 1.40% | 1 : 70.3 | 47.72% |
| 58 | T6 | KKKT6 | three of a kind | 64 | 1.40% | 1 : 70.3 | 46.32% |
| 59 | T5 | KKKT5 | three of a kind | 64 | 1.40% | 1 : 70.3 | 44.91% |
| 60 | T4 | KKKT4 | three of a kind | 64 | 1.40% | 1 : 70.3 | 43.51% |
| 61 | T3 | KKKT3 | three of a kind | 64 | 1.40% | 1 : 70.3 | 42.11% |
| 62 | T2 | KKKT2 | three of a kind | 64 | 1.40% | 1 : 70.3 | 40.70% |
| 63 | 98 | KKK98 | three of a kind | 64 | 1.40% | 1 : 70.3 | 39.30% |
| 64 | 97 | KKK97 | three of a kind | 64 | 1.40% | 1 : 70.3 | 37.89% |
| 65 | 96 | KKK96 | three of a kind | 64 | 1.40% | 1 : 70.3 | 36.49% |
| 66 | 95 | KKK95 | three of a kind | 64 | 1.40% | 1 : 70.3 | 35.09% |
| 67 | 94 | KKK94 | three of a kind | 64 | 1.40% | 1 : 70.3 | 33.68% |
| 68 | 93 | KKK93 | three of a kind | 64 | 1.40% | 1 : 70.3 | 32.28% |
| 69 | 92 | KKK92 | three of a kind | 64 | 1.40% | 1 : 70.3 | 30.88% |
| 70 | 87 | KKK87 | three of a kind | 64 | 1.40% | 1 : 70.3 | 29.47% |
| 71 | 86 | KKK86 | three of a kind | 64 | 1.40% | 1 : 70.3 | 28.07% |
| 72 | 85 | KKK85 | three of a kind | 64 | 1.40% | 1 : 70.3 | 26.67% |
| 73 | 84 | KKK84 | three of a kind | 64 | 1.40% | 1 : 70.3 | 25.26% |
| 74 | 83 | KKK83 | three of a kind | 64 | 1.40% | 1 : 70.3 | 23.86% |
| 75 | 82 | KKK82 | three of a kind | 64 | 1.40% | 1 : 70.3 | 22.46% |
| 76 | 76 | KKK76 | three of a kind | 64 | 1.40% | 1 : 70.3 | 21.05% |
| 77 | 75 | KKK75 | three of a kind | 64 | 1.40% | 1 : 70.3 | 19.65% |
| 78 | 74 | KKK74 | three of a kind | 64 | 1.40% | 1 : 70.3 | 18.25% |
| 79 | 73 | KKK73 | three of a kind | 64 | 1.40% | 1 : 70.3 | 16.84% |
| 80 | 72 | KKK72 | three of a kind | 64 | 1.40% | 1 : 70.3 | 15.44% |
| 81 | 65 | KKK65 | three of a kind | 64 | 1.40% | 1 : 70.3 | 14.04% |
| 82 | 64 | KKK64 | three of a kind | 64 | 1.40% | 1 : 70.3 | 12.63% |
| 83 | 63 | KKK63 | three of a kind | 64 | 1.40% | 1 : 70.3 | 11.23% |
| 84 | 62 | KKK62 | three of a kind | 64 | 1.40% | 1 : 70.3 | 9.82% |
| 85 | 54 | KKK54 | three of a kind | 64 | 1.40% | 1 : 70.3 | 8.42% |
| 86 | 53 | KKK53 | three of a kind | 64 | 1.40% | 1 : 70.3 | 7.02% |
| 87 | 52 | KKK52 | three of a kind | 64 | 1.40% | 1 : 70.3 | 5.61% |
| 88 | 43 | KKK43 | three of a kind | 64 | 1.40% | 1 : 70.3 | 4.21% |
| 89 | 42 | KKK42 | three of a kind | 64 | 1.40% | 1 : 70.3 | 2.81% |
| 90 | 32 | KKK32 | three of a kind | 64 | 1.40% | 1 : 70.3 | 1.40% |