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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 | A5 | A5555 | four of a kind | 4 | 0.09% | 1 : 1139 | 100.00% |
| 2 | K5 | K5555 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.91% |
| 3 | Q5 | Q5555 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.82% |
| 4 | J5 | J5555 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.74% |
| 5 | T5 | T5555 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.65% |
| 6 | 95 | 95555 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.56% |
| 7 | 85 | 85555 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.47% |
| 8 | 75 | 75555 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.39% |
| 9 | 65 | 65555 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.30% |
| 10 | 54 | 55554 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.21% |
| 11 | 53 | 55553 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.12% |
| 12 | 52 | 55552 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.04% |
| 13 | AA | AA555 | full house | 24 | 0.53% | 1 : 189 | 98.95% |
| 14 | KK | KK555 | full house | 24 | 0.53% | 1 : 189 | 98.42% |
| 15 | QQ555 | full house | 24 | 0.53% | 1 : 189 | 97.89% | |
| 16 | JJ | JJ555 | full house | 24 | 0.53% | 1 : 189 | 97.37% |
| 17 | TT | TT555 | full house | 24 | 0.53% | 1 : 189 | 96.84% |
| 18 | 99 | 99555 | full house | 24 | 0.53% | 1 : 189 | 96.32% |
| 19 | 88 | 88555 | full house | 24 | 0.53% | 1 : 189 | 95.79% |
| 20 | 77 | 77555 | full house | 24 | 0.53% | 1 : 189 | 95.26% |
| 21 | 66 | 66555 | full house | 24 | 0.53% | 1 : 189 | 94.74% |
| 22 | 44 | 55544 | full house | 24 | 0.53% | 1 : 189 | 94.21% |
| 23 | 33 | 55533 | full house | 24 | 0.53% | 1 : 189 | 93.68% |
| 24 | 22 | 55522 | full house | 24 | 0.53% | 1 : 189 | 93.16% |
| 25 | AK | AK555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 92.63% |
| 26 | AQ | AQ555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 91.23% |
| 27 | AJ | AJ555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 89.82% |
| 28 | AT | AT555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 88.42% |
| 29 | A9 | A9555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 87.02% |
| 30 | A8 | A8555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 85.61% |
| 31 | A7 | A7555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 84.21% |
| 32 | A6 | A6555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 82.81% |
| 33 | A4 | A5554 | three of a kind | 64 | 1.40% | 1 : 70.3 | 81.40% |
| 34 | A3 | A5553 | three of a kind | 64 | 1.40% | 1 : 70.3 | 80.00% |
| 35 | A2 | A5552 | three of a kind | 64 | 1.40% | 1 : 70.3 | 78.60% |
| 36 | KQ | KQ555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 77.19% |
| 37 | KJ | KJ555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 75.79% |
| 38 | KT | KT555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 74.39% |
| 39 | K9 | K9555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 72.98% |
| 40 | K8 | K8555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 71.58% |
| 41 | K7 | K7555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 70.18% |
| 42 | K6 | K6555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 68.77% |
| 43 | K4 | K5554 | three of a kind | 64 | 1.40% | 1 : 70.3 | 67.37% |
| 44 | K3 | K5553 | three of a kind | 64 | 1.40% | 1 : 70.3 | 65.96% |
| 45 | K2 | K5552 | three of a kind | 64 | 1.40% | 1 : 70.3 | 64.56% |
| 46 | QJ | QJ555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 63.16% |
| 47 | QT | QT555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 61.75% |
| 48 | Q9 | Q9555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 60.35% |
| 49 | Q8 | Q8555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 58.95% |
| 50 | Q7 | Q7555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 57.54% |
| 51 | Q6 | Q6555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 56.14% |
| 52 | Q4 | Q5554 | three of a kind | 64 | 1.40% | 1 : 70.3 | 54.74% |
| 53 | Q3 | Q5553 | three of a kind | 64 | 1.40% | 1 : 70.3 | 53.33% |
| 54 | Q2 | Q5552 | three of a kind | 64 | 1.40% | 1 : 70.3 | 51.93% |
| 55 | JT | JT555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 50.53% |
| 56 | J9 | J9555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 49.12% |
| 57 | J8 | J8555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 47.72% |
| 58 | J7 | J7555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 46.32% |
| 59 | J6 | J6555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 44.91% |
| 60 | J4 | J5554 | three of a kind | 64 | 1.40% | 1 : 70.3 | 43.51% |
| 61 | J3 | J5553 | three of a kind | 64 | 1.40% | 1 : 70.3 | 42.11% |
| 62 | J2 | J5552 | three of a kind | 64 | 1.40% | 1 : 70.3 | 40.70% |
| 63 | T9 | T9555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 39.30% |
| 64 | T8 | T8555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 37.89% |
| 65 | T7 | T7555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 36.49% |
| 66 | T6 | T6555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 35.09% |
| 67 | T4 | T5554 | three of a kind | 64 | 1.40% | 1 : 70.3 | 33.68% |
| 68 | T3 | T5553 | three of a kind | 64 | 1.40% | 1 : 70.3 | 32.28% |
| 69 | T2 | T5552 | three of a kind | 64 | 1.40% | 1 : 70.3 | 30.88% |
| 70 | 98 | 98555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 29.47% |
| 71 | 97 | 97555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 28.07% |
| 72 | 96 | 96555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 26.67% |
| 73 | 94 | 95554 | three of a kind | 64 | 1.40% | 1 : 70.3 | 25.26% |
| 74 | 93 | 95553 | three of a kind | 64 | 1.40% | 1 : 70.3 | 23.86% |
| 75 | 92 | 95552 | three of a kind | 64 | 1.40% | 1 : 70.3 | 22.46% |
| 76 | 87 | 87555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 21.05% |
| 77 | 86 | 86555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 19.65% |
| 78 | 84 | 85554 | three of a kind | 64 | 1.40% | 1 : 70.3 | 18.25% |
| 79 | 83 | 85553 | three of a kind | 64 | 1.40% | 1 : 70.3 | 16.84% |
| 80 | 82 | 85552 | three of a kind | 64 | 1.40% | 1 : 70.3 | 15.44% |
| 81 | 76 | 76555 | three of a kind | 64 | 1.40% | 1 : 70.3 | 14.04% |
| 82 | 74 | 75554 | three of a kind | 64 | 1.40% | 1 : 70.3 | 12.63% |
| 83 | 73 | 75553 | three of a kind | 64 | 1.40% | 1 : 70.3 | 11.23% |
| 84 | 72 | 75552 | three of a kind | 64 | 1.40% | 1 : 70.3 | 9.82% |
| 85 | 64 | 65554 | three of a kind | 64 | 1.40% | 1 : 70.3 | 8.42% |
| 86 | 63 | 65553 | three of a kind | 64 | 1.40% | 1 : 70.3 | 7.02% |
| 87 | 62 | 65552 | three of a kind | 64 | 1.40% | 1 : 70.3 | 5.61% |
| 88 | 43 | 55543 | three of a kind | 64 | 1.40% | 1 : 70.3 | 4.21% |
| 89 | 42 | 55542 | three of a kind | 64 | 1.40% | 1 : 70.3 | 2.81% |
| 90 | 32 | 55532 | three of a kind | 64 | 1.40% | 1 : 70.3 | 1.40% |