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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 | 2 | 8 | 0.01% | 1 : 7757 |
| four of a kind | 0 | 0 | impossible | impossible |
| full house | 0 | 0 | impossible | impossible |
| flush | 43 | 172 | 0.28% | 1 : 360 |
| straight | 2 | 2,040 | 3.29% | 1 : 29.4 |
| 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 | 43 | 43,860 | 70.67% | 2.41 : 1 |
| total | 136 | 62,064 | 100 % | |
| ranking of all 136 distinct hole cards | |||||||
|---|---|---|---|---|---|---|---|
| hole cards | hand | category | combinations | probability | odds | equity | |
| nuts | J8s | JT987 | straight flush | 4 | 0.01% | 1 : 15515 | 100.00% |
| 2 | 86s | T9876 | straight flush | 4 | 0.01% | 1 : 15515 | 99.99% |
| 3 | AKs | AKT97 | flush | 4 | 0.01% | 1 : 15515 | 99.99% |
| 4 | AQs | AQT97 | flush | 4 | 0.01% | 1 : 15515 | 99.98% |
| 5 | AJs | AJT97 | flush | 4 | 0.01% | 1 : 15515 | 99.97% |
| 6 | A8s | AT987 | flush | 4 | 0.01% | 1 : 15515 | 99.97% |
| 7 | A6s | AT976 | flush | 4 | 0.01% | 1 : 15515 | 99.96% |
| 8 | A5s | AT975 | flush | 4 | 0.01% | 1 : 15515 | 99.95% |
| 9 | A4s | AT974 | flush | 4 | 0.01% | 1 : 15515 | 99.95% |
| 10 | A3s | AT973 | flush | 4 | 0.01% | 1 : 15515 | 99.94% |
| 11 | A2s | AT972 | flush | 4 | 0.01% | 1 : 15515 | 99.94% |
| 12 | KQs | KQT97 | flush | 4 | 0.01% | 1 : 15515 | 99.93% |
| 13 | KJs | KJT97 | flush | 4 | 0.01% | 1 : 15515 | 99.92% |
| 14 | K8s | KT987 | flush | 4 | 0.01% | 1 : 15515 | 99.92% |
| 15 | K6s | KT976 | flush | 4 | 0.01% | 1 : 15515 | 99.91% |
| 16 | K5s | KT975 | flush | 4 | 0.01% | 1 : 15515 | 99.90% |
| 17 | K4s | KT974 | flush | 4 | 0.01% | 1 : 15515 | 99.90% |
| 18 | K3s | KT973 | flush | 4 | 0.01% | 1 : 15515 | 99.89% |
| 19 | K2s | KT972 | flush | 4 | 0.01% | 1 : 15515 | 99.88% |
| 20 | QJs | QJT97 | flush | 4 | 0.01% | 1 : 15515 | 99.88% |
| 21 | Q8s | QT987 | flush | 4 | 0.01% | 1 : 15515 | 99.87% |
| 22 | Q6s | QT976 | flush | 4 | 0.01% | 1 : 15515 | 99.86% |
| 23 | Q5s | QT975 | flush | 4 | 0.01% | 1 : 15515 | 99.86% |
| 24 | Q4s | QT974 | flush | 4 | 0.01% | 1 : 15515 | 99.85% |
| 25 | Q3s | QT973 | flush | 4 | 0.01% | 1 : 15515 | 99.85% |
| 26 | Q2s | QT972 | flush | 4 | 0.01% | 1 : 15515 | 99.84% |
| 27 | J6s | JT976 | flush | 4 | 0.01% | 1 : 15515 | 99.83% |
| 28 | J5s | JT975 | flush | 4 | 0.01% | 1 : 15515 | 99.83% |
| 29 | J4s | JT974 | flush | 4 | 0.01% | 1 : 15515 | 99.82% |
| 30 | J3s | JT973 | flush | 4 | 0.01% | 1 : 15515 | 99.81% |
| 31 | J2s | JT972 | flush | 4 | 0.01% | 1 : 15515 | 99.81% |
| 32 | 85s | T9875 | flush | 4 | 0.01% | 1 : 15515 | 99.80% |
| 33 | 84s | T9874 | flush | 4 | 0.01% | 1 : 15515 | 99.79% |
| 34 | 83s | T9873 | flush | 4 | 0.01% | 1 : 15515 | 99.79% |
| 35 | 82s | T9872 | flush | 4 | 0.01% | 1 : 15515 | 99.78% |
| 36 | 65s | T9765 | flush | 4 | 0.01% | 1 : 15515 | 99.77% |
| 37 | 64s | T9764 | flush | 4 | 0.01% | 1 : 15515 | 99.77% |
| 38 | 63s | T9763 | flush | 4 | 0.01% | 1 : 15515 | 99.76% |
| 39 | 62s | T9762 | flush | 4 | 0.01% | 1 : 15515 | 99.76% |
| 40 | 54s | T9754 | flush | 4 | 0.01% | 1 : 15515 | 99.75% |
| 41 | 53s | T9753 | flush | 4 | 0.01% | 1 : 15515 | 99.74% |
| 42 | 52s | T9752 | flush | 4 | 0.01% | 1 : 15515 | 99.74% |
| 43 | 43s | T9743 | flush | 4 | 0.01% | 1 : 15515 | 99.73% |
| 44 | 42s | T9742 | flush | 4 | 0.01% | 1 : 15515 | 99.72% |
| 45 | 32s | T9732 | flush | 4 | 0.01% | 1 : 15515 | 99.72% |
| 46 | J8 | JT987 | straight | 1,020 | 1.64% | 1 : 59.8 | 99.71% |
| 47 | 86 | T9876 | straight | 1,020 | 1.64% | 1 : 59.8 | 98.07% |
| 48 | TT | TTT97 | three of a kind | 64 | 0.10% | 1 : 969 | 96.42% |
| 49 | 99 | T9997 | three of a kind | 64 | 0.10% | 1 : 969 | 96.32% |
| 50 | 77 | T9777 | three of a kind | 64 | 0.10% | 1 : 969 | 96.22% |
| 51 | T9 | TT997 | two pairs | 144 | 0.23% | 1 : 430 | 96.11% |
| 52 | T7 | TT977 | two pairs | 144 | 0.23% | 1 : 430 | 95.88% |
| 53 | 97 | T9977 | two pairs | 144 | 0.23% | 1 : 430 | 95.65% |
| 54 | AA | AAT97 | one pair | 384 | 0.62% | 1 : 161 | 95.42% |
| 55 | KK | KKT97 | one pair | 384 | 0.62% | 1 : 161 | 94.80% |
| 56 | QQT97 | one pair | 384 | 0.62% | 1 : 161 | 94.18% | |
| 57 | JJ | JJT97 | one pair | 384 | 0.62% | 1 : 161 | 93.56% |
| 58 | AT | ATT97 | one pair | 384 | 0.62% | 1 : 161 | 92.94% |
| 59 | KT | KTT97 | one pair | 384 | 0.62% | 1 : 161 | 92.32% |
| 60 | QT | QTT97 | one pair | 384 | 0.62% | 1 : 161 | 91.71% |
| 61 | JT | JTT97 | one pair | 384 | 0.62% | 1 : 161 | 91.09% |
| 62 | T8 | TT987 | one pair | 384 | 0.62% | 1 : 161 | 90.47% |
| 63 | T6 | TT976 | one pair | 384 | 0.62% | 1 : 161 | 89.85% |
| 64 | T5 | TT975 | one pair | 384 | 0.62% | 1 : 161 | 89.23% |
| 65 | T4 | TT974 | one pair | 384 | 0.62% | 1 : 161 | 88.61% |
| 66 | T3 | TT973 | one pair | 384 | 0.62% | 1 : 161 | 87.99% |
| 67 | T2 | TT972 | one pair | 384 | 0.62% | 1 : 161 | 87.37% |
| 68 | A9 | AT997 | one pair | 384 | 0.62% | 1 : 161 | 86.76% |
| 69 | K9 | KT997 | one pair | 384 | 0.62% | 1 : 161 | 86.14% |
| 70 | Q9 | QT997 | one pair | 384 | 0.62% | 1 : 161 | 85.52% |
| 71 | J9 | JT997 | one pair | 384 | 0.62% | 1 : 161 | 84.90% |
| 72 | 98 | T9987 | one pair | 384 | 0.62% | 1 : 161 | 84.28% |
| 73 | 96 | T9976 | one pair | 384 | 0.62% | 1 : 161 | 83.66% |
| 74 | 95 | T9975 | one pair | 384 | 0.62% | 1 : 161 | 83.04% |
| 75 | 94 | T9974 | one pair | 384 | 0.62% | 1 : 161 | 82.42% |
| 76 | 93 | T9973 | one pair | 384 | 0.62% | 1 : 161 | 81.81% |
| 77 | 92 | T9972 | one pair | 384 | 0.62% | 1 : 161 | 81.19% |
| 78 | 88 | T9887 | one pair | 384 | 0.62% | 1 : 161 | 80.57% |
| 79 | A7 | AT977 | one pair | 384 | 0.62% | 1 : 161 | 79.95% |
| 80 | K7 | KT977 | one pair | 384 | 0.62% | 1 : 161 | 79.33% |
| 81 | Q7 | QT977 | one pair | 384 | 0.62% | 1 : 161 | 78.71% |
| 82 | J7 | JT977 | one pair | 384 | 0.62% | 1 : 161 | 78.09% |
| 83 | 87 | T9877 | one pair | 384 | 0.62% | 1 : 161 | 77.47% |
| 84 | 76 | T9776 | one pair | 384 | 0.62% | 1 : 161 | 76.86% |
| 85 | 75 | T9775 | one pair | 384 | 0.62% | 1 : 161 | 76.24% |
| 86 | 74 | T9774 | one pair | 384 | 0.62% | 1 : 161 | 75.62% |
| 87 | 73 | T9773 | one pair | 384 | 0.62% | 1 : 161 | 75.00% |
| 88 | 72 | T9772 | one pair | 384 | 0.62% | 1 : 161 | 74.38% |
| 89 | 66 | T9766 | one pair | 384 | 0.62% | 1 : 161 | 73.76% |
| 90 | 55 | T9755 | one pair | 384 | 0.62% | 1 : 161 | 73.14% |
| 91 | 44 | T9744 | one pair | 384 | 0.62% | 1 : 161 | 72.53% |
| 92 | 33 | T9733 | one pair | 384 | 0.62% | 1 : 161 | 71.91% |
| 93 | 22 | T9722 | one pair | 384 | 0.62% | 1 : 161 | 71.29% |
| 94 | AK | AKT97 | high card | 1,020 | 1.64% | 1 : 59.8 | 70.67% |
| 95 | AQ | AQT97 | high card | 1,020 | 1.64% | 1 : 59.8 | 69.03% |
| 96 | AJ | AJT97 | high card | 1,020 | 1.64% | 1 : 59.8 | 67.38% |
| 97 | A8 | AT987 | high card | 1,020 | 1.64% | 1 : 59.8 | 65.74% |
| 98 | A6 | AT976 | high card | 1,020 | 1.64% | 1 : 59.8 | 64.10% |
| 99 | A5 | AT975 | high card | 1,020 | 1.64% | 1 : 59.8 | 62.45% |
| 100 | A4 | AT974 | high card | 1,020 | 1.64% | 1 : 59.8 | 60.81% |
| 101 | A3 | AT973 | high card | 1,020 | 1.64% | 1 : 59.8 | 59.16% |
| 102 | A2 | AT972 | high card | 1,020 | 1.64% | 1 : 59.8 | 57.52% |
| 103 | KQ | KQT97 | high card | 1,020 | 1.64% | 1 : 59.8 | 55.88% |
| 104 | KJ | KJT97 | high card | 1,020 | 1.64% | 1 : 59.8 | 54.23% |
| 105 | K8 | KT987 | high card | 1,020 | 1.64% | 1 : 59.8 | 52.59% |
| 106 | K6 | KT976 | high card | 1,020 | 1.64% | 1 : 59.8 | 50.95% |
| 107 | K5 | KT975 | high card | 1,020 | 1.64% | 1 : 59.8 | 49.30% |
| 108 | K4 | KT974 | high card | 1,020 | 1.64% | 1 : 59.8 | 47.66% |
| 109 | K3 | KT973 | high card | 1,020 | 1.64% | 1 : 59.8 | 46.02% |
| 110 | K2 | KT972 | high card | 1,020 | 1.64% | 1 : 59.8 | 44.37% |
| 111 | QJ | QJT97 | high card | 1,020 | 1.64% | 1 : 59.8 | 42.73% |
| 112 | Q8 | QT987 | high card | 1,020 | 1.64% | 1 : 59.8 | 41.09% |
| 113 | Q6 | QT976 | high card | 1,020 | 1.64% | 1 : 59.8 | 39.44% |
| 114 | Q5 | QT975 | high card | 1,020 | 1.64% | 1 : 59.8 | 37.80% |
| 115 | Q4 | QT974 | high card | 1,020 | 1.64% | 1 : 59.8 | 36.16% |
| 116 | Q3 | QT973 | high card | 1,020 | 1.64% | 1 : 59.8 | 34.51% |
| 117 | Q2 | QT972 | high card | 1,020 | 1.64% | 1 : 59.8 | 32.87% |
| 118 | J6 | JT976 | high card | 1,020 | 1.64% | 1 : 59.8 | 31.23% |
| 119 | J5 | JT975 | high card | 1,020 | 1.64% | 1 : 59.8 | 29.58% |
| 120 | J4 | JT974 | high card | 1,020 | 1.64% | 1 : 59.8 | 27.94% |
| 121 | J3 | JT973 | high card | 1,020 | 1.64% | 1 : 59.8 | 26.30% |
| 122 | J2 | JT972 | high card | 1,020 | 1.64% | 1 : 59.8 | 24.65% |
| 123 | 85 | T9875 | high card | 1,020 | 1.64% | 1 : 59.8 | 23.01% |
| 124 | 84 | T9874 | high card | 1,020 | 1.64% | 1 : 59.8 | 21.37% |
| 125 | 83 | T9873 | high card | 1,020 | 1.64% | 1 : 59.8 | 19.72% |
| 126 | 82 | T9872 | high card | 1,020 | 1.64% | 1 : 59.8 | 18.08% |
| 127 | 65 | T9765 | high card | 1,020 | 1.64% | 1 : 59.8 | 16.43% |
| 128 | 64 | T9764 | high card | 1,020 | 1.64% | 1 : 59.8 | 14.79% |
| 129 | 63 | T9763 | high card | 1,020 | 1.64% | 1 : 59.8 | 13.15% |
| 130 | 62 | T9762 | high card | 1,020 | 1.64% | 1 : 59.8 | 11.50% |
| 131 | 54 | T9754 | high card | 1,020 | 1.64% | 1 : 59.8 | 9.86% |
| 132 | 53 | T9753 | high card | 1,020 | 1.64% | 1 : 59.8 | 8.22% |
| 133 | 52 | T9752 | high card | 1,020 | 1.64% | 1 : 59.8 | 6.57% |
| 134 | 43 | T9743 | high card | 1,020 | 1.64% | 1 : 59.8 | 4.93% |
| 135 | 42 | T9742 | high card | 1,020 | 1.64% | 1 : 59.8 | 3.29% |
| 136 | 32 | T9732 | high card | 1,020 | 1.64% | 1 : 59.8 | 1.64% |