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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 | 0 | 0 | impossible | impossible |
| full house | 0 | 0 | impossible | impossible |
| flush | 45 | 180 | 0.29% | 1 : 344 |
| straight | 0 | 0 | impossible | impossible |
| three of a kind | 3 | 192 | 0.31% | 1 : 322 |
| two pairs | 3 | 432 | 0.70% | 1 : 143 |
| one pair | 40 | 15,360 | 24.75% | 1 : 3.04 |
| high card | 45 | 45,900 | 73.96% | 2.84 : 1 |
| total | 136 | 62,064 | 100 % | |
| ranking of all 136 distinct hole cards | |||||||
|---|---|---|---|---|---|---|---|
| hole cards | hand | category | combinations | probability | odds | equity | |
| nuts | AKs | AKQ64 | flush | 4 | 0.01% | 1 : 15515 | 100.00% |
| 2 | AJs | AQJ64 | flush | 4 | 0.01% | 1 : 15515 | 99.99% |
| 3 | ATs | AQT64 | flush | 4 | 0.01% | 1 : 15515 | 99.99% |
| 4 | A9s | AQ964 | flush | 4 | 0.01% | 1 : 15515 | 99.98% |
| 5 | A8s | AQ864 | flush | 4 | 0.01% | 1 : 15515 | 99.97% |
| 6 | A7s | AQ764 | flush | 4 | 0.01% | 1 : 15515 | 99.97% |
| 7 | A5s | AQ654 | flush | 4 | 0.01% | 1 : 15515 | 99.96% |
| 8 | A3s | AQ643 | flush | 4 | 0.01% | 1 : 15515 | 99.95% |
| 9 | A2s | AQ642 | flush | 4 | 0.01% | 1 : 15515 | 99.95% |
| 10 | KJs | KQJ64 | flush | 4 | 0.01% | 1 : 15515 | 99.94% |
| 11 | KTs | KQT64 | flush | 4 | 0.01% | 1 : 15515 | 99.94% |
| 12 | K9s | KQ964 | flush | 4 | 0.01% | 1 : 15515 | 99.93% |
| 13 | K8s | KQ864 | flush | 4 | 0.01% | 1 : 15515 | 99.92% |
| 14 | K7s | KQ764 | flush | 4 | 0.01% | 1 : 15515 | 99.92% |
| 15 | K5s | KQ654 | flush | 4 | 0.01% | 1 : 15515 | 99.91% |
| 16 | K3s | KQ643 | flush | 4 | 0.01% | 1 : 15515 | 99.90% |
| 17 | K2s | KQ642 | flush | 4 | 0.01% | 1 : 15515 | 99.90% |
| 18 | JTs | QJT64 | flush | 4 | 0.01% | 1 : 15515 | 99.89% |
| 19 | J9s | QJ964 | flush | 4 | 0.01% | 1 : 15515 | 99.88% |
| 20 | J8s | QJ864 | flush | 4 | 0.01% | 1 : 15515 | 99.88% |
| 21 | J7s | QJ764 | flush | 4 | 0.01% | 1 : 15515 | 99.87% |
| 22 | J5s | QJ654 | flush | 4 | 0.01% | 1 : 15515 | 99.86% |
| 23 | J3s | QJ643 | flush | 4 | 0.01% | 1 : 15515 | 99.86% |
| 24 | J2s | QJ642 | flush | 4 | 0.01% | 1 : 15515 | 99.85% |
| 25 | T9s | QT964 | flush | 4 | 0.01% | 1 : 15515 | 99.85% |
| 26 | T8s | QT864 | flush | 4 | 0.01% | 1 : 15515 | 99.84% |
| 27 | T7s | QT764 | flush | 4 | 0.01% | 1 : 15515 | 99.83% |
| 28 | T5s | QT654 | flush | 4 | 0.01% | 1 : 15515 | 99.83% |
| 29 | T3s | QT643 | flush | 4 | 0.01% | 1 : 15515 | 99.82% |
| 30 | T2s | QT642 | flush | 4 | 0.01% | 1 : 15515 | 99.81% |
| 31 | 98s | Q9864 | flush | 4 | 0.01% | 1 : 15515 | 99.81% |
| 32 | 97s | Q9764 | flush | 4 | 0.01% | 1 : 15515 | 99.80% |
| 33 | 95s | Q9654 | flush | 4 | 0.01% | 1 : 15515 | 99.79% |
| 34 | 93s | Q9643 | flush | 4 | 0.01% | 1 : 15515 | 99.79% |
| 35 | 92s | Q9642 | flush | 4 | 0.01% | 1 : 15515 | 99.78% |
| 36 | 87s | Q8764 | flush | 4 | 0.01% | 1 : 15515 | 99.77% |
| 37 | 85s | Q8654 | flush | 4 | 0.01% | 1 : 15515 | 99.77% |
| 38 | 83s | Q8643 | flush | 4 | 0.01% | 1 : 15515 | 99.76% |
| 39 | 82s | Q8642 | flush | 4 | 0.01% | 1 : 15515 | 99.76% |
| 40 | 75s | Q7654 | flush | 4 | 0.01% | 1 : 15515 | 99.75% |
| 41 | 73s | Q7643 | flush | 4 | 0.01% | 1 : 15515 | 99.74% |
| 42 | 72s | Q7642 | flush | 4 | 0.01% | 1 : 15515 | 99.74% |
| 43 | 53s | Q6543 | flush | 4 | 0.01% | 1 : 15515 | 99.73% |
| 44 | 52s | Q6542 | flush | 4 | 0.01% | 1 : 15515 | 99.72% |
| 45 | 32s | Q6432 | flush | 4 | 0.01% | 1 : 15515 | 99.72% |
| 46 | QQQ64 | three of a kind | 64 | 0.10% | 1 : 969 | 99.71% | |
| 47 | 66 | Q6664 | three of a kind | 64 | 0.10% | 1 : 969 | 99.61% |
| 48 | 44 | Q6444 | three of a kind | 64 | 0.10% | 1 : 969 | 99.50% |
| 49 | Q6 | QQ664 | two pairs | 144 | 0.23% | 1 : 430 | 99.40% |
| 50 | Q4 | QQ644 | two pairs | 144 | 0.23% | 1 : 430 | 99.17% |
| 51 | 64 | Q6644 | two pairs | 144 | 0.23% | 1 : 430 | 98.94% |
| 52 | AA | AAQ64 | one pair | 384 | 0.62% | 1 : 161 | 98.70% |
| 53 | KK | KKQ64 | one pair | 384 | 0.62% | 1 : 161 | 98.09% |
| 54 | AQ | AQQ64 | one pair | 384 | 0.62% | 1 : 161 | 97.47% |
| 55 | KQ | KQQ64 | one pair | 384 | 0.62% | 1 : 161 | 96.85% |
| 56 | QJ | QQJ64 | one pair | 384 | 0.62% | 1 : 161 | 96.23% |
| 57 | QT | QQT64 | one pair | 384 | 0.62% | 1 : 161 | 95.61% |
| 58 | Q9 | QQ964 | one pair | 384 | 0.62% | 1 : 161 | 94.99% |
| 59 | Q8 | QQ864 | one pair | 384 | 0.62% | 1 : 161 | 94.37% |
| 60 | Q7 | QQ764 | one pair | 384 | 0.62% | 1 : 161 | 93.75% |
| 61 | Q5 | QQ654 | one pair | 384 | 0.62% | 1 : 161 | 93.14% |
| 62 | Q3 | QQ643 | one pair | 384 | 0.62% | 1 : 161 | 92.52% |
| 63 | Q2 | QQ642 | one pair | 384 | 0.62% | 1 : 161 | 91.90% |
| 64 | JJ | QJJ64 | one pair | 384 | 0.62% | 1 : 161 | 91.28% |
| 65 | TT | QTT64 | one pair | 384 | 0.62% | 1 : 161 | 90.66% |
| 66 | 99 | Q9964 | one pair | 384 | 0.62% | 1 : 161 | 90.04% |
| 67 | 88 | Q8864 | one pair | 384 | 0.62% | 1 : 161 | 89.42% |
| 68 | 77 | Q7764 | one pair | 384 | 0.62% | 1 : 161 | 88.81% |
| 69 | A6 | AQ664 | one pair | 384 | 0.62% | 1 : 161 | 88.19% |
| 70 | K6 | KQ664 | one pair | 384 | 0.62% | 1 : 161 | 87.57% |
| 71 | J6 | QJ664 | one pair | 384 | 0.62% | 1 : 161 | 86.95% |
| 72 | T6 | QT664 | one pair | 384 | 0.62% | 1 : 161 | 86.33% |
| 73 | 96 | Q9664 | one pair | 384 | 0.62% | 1 : 161 | 85.71% |
| 74 | 86 | Q8664 | one pair | 384 | 0.62% | 1 : 161 | 85.09% |
| 75 | 76 | Q7664 | one pair | 384 | 0.62% | 1 : 161 | 84.47% |
| 76 | 65 | Q6654 | one pair | 384 | 0.62% | 1 : 161 | 83.86% |
| 77 | 63 | Q6643 | one pair | 384 | 0.62% | 1 : 161 | 83.24% |
| 78 | 62 | Q6642 | one pair | 384 | 0.62% | 1 : 161 | 82.62% |
| 79 | 55 | Q6554 | one pair | 384 | 0.62% | 1 : 161 | 82.00% |
| 80 | A4 | AQ644 | one pair | 384 | 0.62% | 1 : 161 | 81.38% |
| 81 | K4 | KQ644 | one pair | 384 | 0.62% | 1 : 161 | 80.76% |
| 82 | J4 | QJ644 | one pair | 384 | 0.62% | 1 : 161 | 80.14% |
| 83 | T4 | QT644 | one pair | 384 | 0.62% | 1 : 161 | 79.52% |
| 84 | 94 | Q9644 | one pair | 384 | 0.62% | 1 : 161 | 78.91% |
| 85 | 84 | Q8644 | one pair | 384 | 0.62% | 1 : 161 | 78.29% |
| 86 | 74 | Q7644 | one pair | 384 | 0.62% | 1 : 161 | 77.67% |
| 87 | 54 | Q6544 | one pair | 384 | 0.62% | 1 : 161 | 77.05% |
| 88 | 43 | Q6443 | one pair | 384 | 0.62% | 1 : 161 | 76.43% |
| 89 | 42 | Q6442 | one pair | 384 | 0.62% | 1 : 161 | 75.81% |
| 90 | 33 | Q6433 | one pair | 384 | 0.62% | 1 : 161 | 75.19% |
| 91 | 22 | Q6422 | one pair | 384 | 0.62% | 1 : 161 | 74.57% |
| 92 | AK | AKQ64 | high card | 1,020 | 1.64% | 1 : 59.8 | 73.96% |
| 93 | AJ | AQJ64 | high card | 1,020 | 1.64% | 1 : 59.8 | 72.31% |
| 94 | AT | AQT64 | high card | 1,020 | 1.64% | 1 : 59.8 | 70.67% |
| 95 | A9 | AQ964 | high card | 1,020 | 1.64% | 1 : 59.8 | 69.03% |
| 96 | A8 | AQ864 | high card | 1,020 | 1.64% | 1 : 59.8 | 67.38% |
| 97 | A7 | AQ764 | high card | 1,020 | 1.64% | 1 : 59.8 | 65.74% |
| 98 | A5 | AQ654 | high card | 1,020 | 1.64% | 1 : 59.8 | 64.10% |
| 99 | A3 | AQ643 | high card | 1,020 | 1.64% | 1 : 59.8 | 62.45% |
| 100 | A2 | AQ642 | high card | 1,020 | 1.64% | 1 : 59.8 | 60.81% |
| 101 | KJ | KQJ64 | high card | 1,020 | 1.64% | 1 : 59.8 | 59.16% |
| 102 | KT | KQT64 | high card | 1,020 | 1.64% | 1 : 59.8 | 57.52% |
| 103 | K9 | KQ964 | high card | 1,020 | 1.64% | 1 : 59.8 | 55.88% |
| 104 | K8 | KQ864 | high card | 1,020 | 1.64% | 1 : 59.8 | 54.23% |
| 105 | K7 | KQ764 | high card | 1,020 | 1.64% | 1 : 59.8 | 52.59% |
| 106 | K5 | KQ654 | high card | 1,020 | 1.64% | 1 : 59.8 | 50.95% |
| 107 | K3 | KQ643 | high card | 1,020 | 1.64% | 1 : 59.8 | 49.30% |
| 108 | K2 | KQ642 | high card | 1,020 | 1.64% | 1 : 59.8 | 47.66% |
| 109 | JT | QJT64 | high card | 1,020 | 1.64% | 1 : 59.8 | 46.02% |
| 110 | J9 | QJ964 | high card | 1,020 | 1.64% | 1 : 59.8 | 44.37% |
| 111 | J8 | QJ864 | high card | 1,020 | 1.64% | 1 : 59.8 | 42.73% |
| 112 | J7 | QJ764 | high card | 1,020 | 1.64% | 1 : 59.8 | 41.09% |
| 113 | J5 | QJ654 | high card | 1,020 | 1.64% | 1 : 59.8 | 39.44% |
| 114 | J3 | QJ643 | high card | 1,020 | 1.64% | 1 : 59.8 | 37.80% |
| 115 | J2 | QJ642 | high card | 1,020 | 1.64% | 1 : 59.8 | 36.16% |
| 116 | T9 | QT964 | high card | 1,020 | 1.64% | 1 : 59.8 | 34.51% |
| 117 | T8 | QT864 | high card | 1,020 | 1.64% | 1 : 59.8 | 32.87% |
| 118 | T7 | QT764 | high card | 1,020 | 1.64% | 1 : 59.8 | 31.23% |
| 119 | T5 | QT654 | high card | 1,020 | 1.64% | 1 : 59.8 | 29.58% |
| 120 | T3 | QT643 | high card | 1,020 | 1.64% | 1 : 59.8 | 27.94% |
| 121 | T2 | QT642 | high card | 1,020 | 1.64% | 1 : 59.8 | 26.30% |
| 122 | 98 | Q9864 | high card | 1,020 | 1.64% | 1 : 59.8 | 24.65% |
| 123 | 97 | Q9764 | high card | 1,020 | 1.64% | 1 : 59.8 | 23.01% |
| 124 | 95 | Q9654 | high card | 1,020 | 1.64% | 1 : 59.8 | 21.37% |
| 125 | 93 | Q9643 | high card | 1,020 | 1.64% | 1 : 59.8 | 19.72% |
| 126 | 92 | Q9642 | high card | 1,020 | 1.64% | 1 : 59.8 | 18.08% |
| 127 | 87 | Q8764 | high card | 1,020 | 1.64% | 1 : 59.8 | 16.43% |
| 128 | 85 | Q8654 | high card | 1,020 | 1.64% | 1 : 59.8 | 14.79% |
| 129 | 83 | Q8643 | high card | 1,020 | 1.64% | 1 : 59.8 | 13.15% |
| 130 | 82 | Q8642 | high card | 1,020 | 1.64% | 1 : 59.8 | 11.50% |
| 131 | 75 | Q7654 | high card | 1,020 | 1.64% | 1 : 59.8 | 9.86% |
| 132 | 73 | Q7643 | high card | 1,020 | 1.64% | 1 : 59.8 | 8.22% |
| 133 | 72 | Q7642 | high card | 1,020 | 1.64% | 1 : 59.8 | 6.57% |
| 134 | 53 | Q6543 | high card | 1,020 | 1.64% | 1 : 59.8 | 4.93% |
| 135 | 52 | Q6542 | high card | 1,020 | 1.64% | 1 : 59.8 | 3.29% |
| 136 | 32 | Q6432 | high card | 1,020 | 1.64% | 1 : 59.8 | 1.64% |