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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 | A6 | A6666 | four of a kind | 4 | 0.09% | 1 : 1139 | 100.00% |
| 2 | K6 | K6666 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.91% |
| 3 | Q6 | Q6666 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.82% |
| 4 | J6 | J6666 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.74% |
| 5 | T6 | T6666 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.65% |
| 6 | 96 | 96666 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.56% |
| 7 | 86 | 86666 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.47% |
| 8 | 76 | 76666 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.39% |
| 9 | 65 | 66665 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.30% |
| 10 | 64 | 66664 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.21% |
| 11 | 63 | 66663 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.12% |
| 12 | 62 | 66662 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.04% |
| 13 | AA | AA666 | full house | 24 | 0.53% | 1 : 189 | 98.95% |
| 14 | KK | KK666 | full house | 24 | 0.53% | 1 : 189 | 98.42% |
| 15 | QQ666 | full house | 24 | 0.53% | 1 : 189 | 97.89% | |
| 16 | JJ | JJ666 | full house | 24 | 0.53% | 1 : 189 | 97.37% |
| 17 | TT | TT666 | full house | 24 | 0.53% | 1 : 189 | 96.84% |
| 18 | 99 | 99666 | full house | 24 | 0.53% | 1 : 189 | 96.32% |
| 19 | 88 | 88666 | full house | 24 | 0.53% | 1 : 189 | 95.79% |
| 20 | 77 | 77666 | full house | 24 | 0.53% | 1 : 189 | 95.26% |
| 21 | 55 | 66655 | full house | 24 | 0.53% | 1 : 189 | 94.74% |
| 22 | 44 | 66644 | full house | 24 | 0.53% | 1 : 189 | 94.21% |
| 23 | 33 | 66633 | full house | 24 | 0.53% | 1 : 189 | 93.68% |
| 24 | 22 | 66622 | full house | 24 | 0.53% | 1 : 189 | 93.16% |
| 25 | AK | AK666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 92.63% |
| 26 | AQ | AQ666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 91.23% |
| 27 | AJ | AJ666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 89.82% |
| 28 | AT | AT666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 88.42% |
| 29 | A9 | A9666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 87.02% |
| 30 | A8 | A8666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 85.61% |
| 31 | A7 | A7666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 84.21% |
| 32 | A5 | A6665 | three of a kind | 64 | 1.40% | 1 : 70.3 | 82.81% |
| 33 | A4 | A6664 | three of a kind | 64 | 1.40% | 1 : 70.3 | 81.40% |
| 34 | A3 | A6663 | three of a kind | 64 | 1.40% | 1 : 70.3 | 80.00% |
| 35 | A2 | A6662 | three of a kind | 64 | 1.40% | 1 : 70.3 | 78.60% |
| 36 | KQ | KQ666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 77.19% |
| 37 | KJ | KJ666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 75.79% |
| 38 | KT | KT666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 74.39% |
| 39 | K9 | K9666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 72.98% |
| 40 | K8 | K8666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 71.58% |
| 41 | K7 | K7666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 70.18% |
| 42 | K5 | K6665 | three of a kind | 64 | 1.40% | 1 : 70.3 | 68.77% |
| 43 | K4 | K6664 | three of a kind | 64 | 1.40% | 1 : 70.3 | 67.37% |
| 44 | K3 | K6663 | three of a kind | 64 | 1.40% | 1 : 70.3 | 65.96% |
| 45 | K2 | K6662 | three of a kind | 64 | 1.40% | 1 : 70.3 | 64.56% |
| 46 | QJ | QJ666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 63.16% |
| 47 | QT | QT666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 61.75% |
| 48 | Q9 | Q9666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 60.35% |
| 49 | Q8 | Q8666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 58.95% |
| 50 | Q7 | Q7666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 57.54% |
| 51 | Q5 | Q6665 | three of a kind | 64 | 1.40% | 1 : 70.3 | 56.14% |
| 52 | Q4 | Q6664 | three of a kind | 64 | 1.40% | 1 : 70.3 | 54.74% |
| 53 | Q3 | Q6663 | three of a kind | 64 | 1.40% | 1 : 70.3 | 53.33% |
| 54 | Q2 | Q6662 | three of a kind | 64 | 1.40% | 1 : 70.3 | 51.93% |
| 55 | JT | JT666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 50.53% |
| 56 | J9 | J9666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 49.12% |
| 57 | J8 | J8666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 47.72% |
| 58 | J7 | J7666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 46.32% |
| 59 | J5 | J6665 | three of a kind | 64 | 1.40% | 1 : 70.3 | 44.91% |
| 60 | J4 | J6664 | three of a kind | 64 | 1.40% | 1 : 70.3 | 43.51% |
| 61 | J3 | J6663 | three of a kind | 64 | 1.40% | 1 : 70.3 | 42.11% |
| 62 | J2 | J6662 | three of a kind | 64 | 1.40% | 1 : 70.3 | 40.70% |
| 63 | T9 | T9666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 39.30% |
| 64 | T8 | T8666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 37.89% |
| 65 | T7 | T7666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 36.49% |
| 66 | T5 | T6665 | three of a kind | 64 | 1.40% | 1 : 70.3 | 35.09% |
| 67 | T4 | T6664 | three of a kind | 64 | 1.40% | 1 : 70.3 | 33.68% |
| 68 | T3 | T6663 | three of a kind | 64 | 1.40% | 1 : 70.3 | 32.28% |
| 69 | T2 | T6662 | three of a kind | 64 | 1.40% | 1 : 70.3 | 30.88% |
| 70 | 98 | 98666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 29.47% |
| 71 | 97 | 97666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 28.07% |
| 72 | 95 | 96665 | three of a kind | 64 | 1.40% | 1 : 70.3 | 26.67% |
| 73 | 94 | 96664 | three of a kind | 64 | 1.40% | 1 : 70.3 | 25.26% |
| 74 | 93 | 96663 | three of a kind | 64 | 1.40% | 1 : 70.3 | 23.86% |
| 75 | 92 | 96662 | three of a kind | 64 | 1.40% | 1 : 70.3 | 22.46% |
| 76 | 87 | 87666 | three of a kind | 64 | 1.40% | 1 : 70.3 | 21.05% |
| 77 | 85 | 86665 | three of a kind | 64 | 1.40% | 1 : 70.3 | 19.65% |
| 78 | 84 | 86664 | three of a kind | 64 | 1.40% | 1 : 70.3 | 18.25% |
| 79 | 83 | 86663 | three of a kind | 64 | 1.40% | 1 : 70.3 | 16.84% |
| 80 | 82 | 86662 | three of a kind | 64 | 1.40% | 1 : 70.3 | 15.44% |
| 81 | 75 | 76665 | three of a kind | 64 | 1.40% | 1 : 70.3 | 14.04% |
| 82 | 74 | 76664 | three of a kind | 64 | 1.40% | 1 : 70.3 | 12.63% |
| 83 | 73 | 76663 | three of a kind | 64 | 1.40% | 1 : 70.3 | 11.23% |
| 84 | 72 | 76662 | three of a kind | 64 | 1.40% | 1 : 70.3 | 9.82% |
| 85 | 54 | 66654 | three of a kind | 64 | 1.40% | 1 : 70.3 | 8.42% |
| 86 | 53 | 66653 | three of a kind | 64 | 1.40% | 1 : 70.3 | 7.02% |
| 87 | 52 | 66652 | three of a kind | 64 | 1.40% | 1 : 70.3 | 5.61% |
| 88 | 43 | 66643 | three of a kind | 64 | 1.40% | 1 : 70.3 | 4.21% |
| 89 | 42 | 66642 | three of a kind | 64 | 1.40% | 1 : 70.3 | 2.81% |
| 90 | 32 | 66632 | three of a kind | 64 | 1.40% | 1 : 70.3 | 1.40% |