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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 | 3 | 12 | 0.02% | 1 : 5171 |
| four of a kind | 0 | 0 | impossible | impossible |
| full house | 0 | 0 | impossible | impossible |
| flush | 42 | 168 | 0.27% | 1 : 368 |
| straight | 3 | 3,060 | 4.93% | 1 : 19.3 |
| 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 | 42 | 42,840 | 69.03% | 2.23 : 1 |
| total | 136 | 62,064 | 100 % | |
| ranking of all 136 distinct hole cards | |||||||
|---|---|---|---|---|---|---|---|
| hole cards | hand | category | combinations | probability | odds | equity | |
| nuts | JTs | JT987 | straight flush | 4 | 0.01% | 1 : 15515 | 100.00% |
| 2 | T6s | T9876 | straight flush | 4 | 0.01% | 1 : 15515 | 99.99% |
| 3 | 65s | 98765 | straight flush | 4 | 0.01% | 1 : 15515 | 99.99% |
| 4 | AKs | AK987 | flush | 4 | 0.01% | 1 : 15515 | 99.98% |
| 5 | AQs | AQ987 | flush | 4 | 0.01% | 1 : 15515 | 99.97% |
| 6 | AJs | AJ987 | flush | 4 | 0.01% | 1 : 15515 | 99.97% |
| 7 | ATs | AT987 | flush | 4 | 0.01% | 1 : 15515 | 99.96% |
| 8 | A6s | A9876 | flush | 4 | 0.01% | 1 : 15515 | 99.95% |
| 9 | A5s | A9875 | flush | 4 | 0.01% | 1 : 15515 | 99.95% |
| 10 | A4s | A9874 | flush | 4 | 0.01% | 1 : 15515 | 99.94% |
| 11 | A3s | A9873 | flush | 4 | 0.01% | 1 : 15515 | 99.94% |
| 12 | A2s | A9872 | flush | 4 | 0.01% | 1 : 15515 | 99.93% |
| 13 | KQs | KQ987 | flush | 4 | 0.01% | 1 : 15515 | 99.92% |
| 14 | KJs | KJ987 | flush | 4 | 0.01% | 1 : 15515 | 99.92% |
| 15 | KTs | KT987 | flush | 4 | 0.01% | 1 : 15515 | 99.91% |
| 16 | K6s | K9876 | flush | 4 | 0.01% | 1 : 15515 | 99.90% |
| 17 | K5s | K9875 | flush | 4 | 0.01% | 1 : 15515 | 99.90% |
| 18 | K4s | K9874 | flush | 4 | 0.01% | 1 : 15515 | 99.89% |
| 19 | K3s | K9873 | flush | 4 | 0.01% | 1 : 15515 | 99.88% |
| 20 | K2s | K9872 | flush | 4 | 0.01% | 1 : 15515 | 99.88% |
| 21 | QJs | QJ987 | flush | 4 | 0.01% | 1 : 15515 | 99.87% |
| 22 | QTs | QT987 | flush | 4 | 0.01% | 1 : 15515 | 99.86% |
| 23 | Q6s | Q9876 | flush | 4 | 0.01% | 1 : 15515 | 99.86% |
| 24 | Q5s | Q9875 | flush | 4 | 0.01% | 1 : 15515 | 99.85% |
| 25 | Q4s | Q9874 | flush | 4 | 0.01% | 1 : 15515 | 99.85% |
| 26 | Q3s | Q9873 | flush | 4 | 0.01% | 1 : 15515 | 99.84% |
| 27 | Q2s | Q9872 | flush | 4 | 0.01% | 1 : 15515 | 99.83% |
| 28 | J6s | J9876 | flush | 4 | 0.01% | 1 : 15515 | 99.83% |
| 29 | J5s | J9875 | flush | 4 | 0.01% | 1 : 15515 | 99.82% |
| 30 | J4s | J9874 | flush | 4 | 0.01% | 1 : 15515 | 99.81% |
| 31 | J3s | J9873 | flush | 4 | 0.01% | 1 : 15515 | 99.81% |
| 32 | J2s | J9872 | flush | 4 | 0.01% | 1 : 15515 | 99.80% |
| 33 | T5s | T9875 | flush | 4 | 0.01% | 1 : 15515 | 99.79% |
| 34 | T4s | T9874 | flush | 4 | 0.01% | 1 : 15515 | 99.79% |
| 35 | T3s | T9873 | flush | 4 | 0.01% | 1 : 15515 | 99.78% |
| 36 | T2s | T9872 | flush | 4 | 0.01% | 1 : 15515 | 99.77% |
| 37 | 64s | 98764 | flush | 4 | 0.01% | 1 : 15515 | 99.77% |
| 38 | 63s | 98763 | flush | 4 | 0.01% | 1 : 15515 | 99.76% |
| 39 | 62s | 98762 | flush | 4 | 0.01% | 1 : 15515 | 99.76% |
| 40 | 54s | 98754 | flush | 4 | 0.01% | 1 : 15515 | 99.75% |
| 41 | 53s | 98753 | flush | 4 | 0.01% | 1 : 15515 | 99.74% |
| 42 | 52s | 98752 | flush | 4 | 0.01% | 1 : 15515 | 99.74% |
| 43 | 43s | 98743 | flush | 4 | 0.01% | 1 : 15515 | 99.73% |
| 44 | 42s | 98742 | flush | 4 | 0.01% | 1 : 15515 | 99.72% |
| 45 | 32s | 98732 | flush | 4 | 0.01% | 1 : 15515 | 99.72% |
| 46 | JT | JT987 | straight | 1,020 | 1.64% | 1 : 59.8 | 99.71% |
| 47 | T6 | T9876 | straight | 1,020 | 1.64% | 1 : 59.8 | 98.07% |
| 48 | 65 | 98765 | straight | 1,020 | 1.64% | 1 : 59.8 | 96.42% |
| 49 | 99 | 99987 | three of a kind | 64 | 0.10% | 1 : 969 | 94.78% |
| 50 | 88 | 98887 | three of a kind | 64 | 0.10% | 1 : 969 | 94.68% |
| 51 | 77 | 98777 | three of a kind | 64 | 0.10% | 1 : 969 | 94.57% |
| 52 | 98 | 99887 | two pairs | 144 | 0.23% | 1 : 430 | 94.47% |
| 53 | 97 | 99877 | two pairs | 144 | 0.23% | 1 : 430 | 94.24% |
| 54 | 87 | 98877 | two pairs | 144 | 0.23% | 1 : 430 | 94.01% |
| 55 | AA | AA987 | one pair | 384 | 0.62% | 1 : 161 | 93.77% |
| 56 | KK | KK987 | one pair | 384 | 0.62% | 1 : 161 | 93.16% |
| 57 | QQ987 | one pair | 384 | 0.62% | 1 : 161 | 92.54% | |
| 58 | JJ | JJ987 | one pair | 384 | 0.62% | 1 : 161 | 91.92% |
| 59 | TT | TT987 | one pair | 384 | 0.62% | 1 : 161 | 91.30% |
| 60 | A9 | A9987 | one pair | 384 | 0.62% | 1 : 161 | 90.68% |
| 61 | K9 | K9987 | one pair | 384 | 0.62% | 1 : 161 | 90.06% |
| 62 | Q9 | Q9987 | one pair | 384 | 0.62% | 1 : 161 | 89.44% |
| 63 | J9 | J9987 | one pair | 384 | 0.62% | 1 : 161 | 88.82% |
| 64 | T9 | T9987 | one pair | 384 | 0.62% | 1 : 161 | 88.21% |
| 65 | 96 | 99876 | one pair | 384 | 0.62% | 1 : 161 | 87.59% |
| 66 | 95 | 99875 | one pair | 384 | 0.62% | 1 : 161 | 86.97% |
| 67 | 94 | 99874 | one pair | 384 | 0.62% | 1 : 161 | 86.35% |
| 68 | 93 | 99873 | one pair | 384 | 0.62% | 1 : 161 | 85.73% |
| 69 | 92 | 99872 | one pair | 384 | 0.62% | 1 : 161 | 85.11% |
| 70 | A8 | A9887 | one pair | 384 | 0.62% | 1 : 161 | 84.49% |
| 71 | K8 | K9887 | one pair | 384 | 0.62% | 1 : 161 | 83.87% |
| 72 | Q8 | Q9887 | one pair | 384 | 0.62% | 1 : 161 | 83.26% |
| 73 | J8 | J9887 | one pair | 384 | 0.62% | 1 : 161 | 82.64% |
| 74 | T8 | T9887 | one pair | 384 | 0.62% | 1 : 161 | 82.02% |
| 75 | 86 | 98876 | one pair | 384 | 0.62% | 1 : 161 | 81.40% |
| 76 | 85 | 98875 | one pair | 384 | 0.62% | 1 : 161 | 80.78% |
| 77 | 84 | 98874 | one pair | 384 | 0.62% | 1 : 161 | 80.16% |
| 78 | 83 | 98873 | one pair | 384 | 0.62% | 1 : 161 | 79.54% |
| 79 | 82 | 98872 | one pair | 384 | 0.62% | 1 : 161 | 78.92% |
| 80 | A7 | A9877 | one pair | 384 | 0.62% | 1 : 161 | 78.31% |
| 81 | K7 | K9877 | one pair | 384 | 0.62% | 1 : 161 | 77.69% |
| 82 | Q7 | Q9877 | one pair | 384 | 0.62% | 1 : 161 | 77.07% |
| 83 | J7 | J9877 | one pair | 384 | 0.62% | 1 : 161 | 76.45% |
| 84 | T7 | T9877 | one pair | 384 | 0.62% | 1 : 161 | 75.83% |
| 85 | 76 | 98776 | one pair | 384 | 0.62% | 1 : 161 | 75.21% |
| 86 | 75 | 98775 | one pair | 384 | 0.62% | 1 : 161 | 74.59% |
| 87 | 74 | 98774 | one pair | 384 | 0.62% | 1 : 161 | 73.98% |
| 88 | 73 | 98773 | one pair | 384 | 0.62% | 1 : 161 | 73.36% |
| 89 | 72 | 98772 | one pair | 384 | 0.62% | 1 : 161 | 72.74% |
| 90 | 66 | 98766 | one pair | 384 | 0.62% | 1 : 161 | 72.12% |
| 91 | 55 | 98755 | one pair | 384 | 0.62% | 1 : 161 | 71.50% |
| 92 | 44 | 98744 | one pair | 384 | 0.62% | 1 : 161 | 70.88% |
| 93 | 33 | 98733 | one pair | 384 | 0.62% | 1 : 161 | 70.26% |
| 94 | 22 | 98722 | one pair | 384 | 0.62% | 1 : 161 | 69.64% |
| 95 | AK | AK987 | high card | 1,020 | 1.64% | 1 : 59.8 | 69.03% |
| 96 | AQ | AQ987 | high card | 1,020 | 1.64% | 1 : 59.8 | 67.38% |
| 97 | AJ | AJ987 | high card | 1,020 | 1.64% | 1 : 59.8 | 65.74% |
| 98 | AT | AT987 | high card | 1,020 | 1.64% | 1 : 59.8 | 64.10% |
| 99 | A6 | A9876 | high card | 1,020 | 1.64% | 1 : 59.8 | 62.45% |
| 100 | A5 | A9875 | high card | 1,020 | 1.64% | 1 : 59.8 | 60.81% |
| 101 | A4 | A9874 | high card | 1,020 | 1.64% | 1 : 59.8 | 59.16% |
| 102 | A3 | A9873 | high card | 1,020 | 1.64% | 1 : 59.8 | 57.52% |
| 103 | A2 | A9872 | high card | 1,020 | 1.64% | 1 : 59.8 | 55.88% |
| 104 | KQ | KQ987 | high card | 1,020 | 1.64% | 1 : 59.8 | 54.23% |
| 105 | KJ | KJ987 | high card | 1,020 | 1.64% | 1 : 59.8 | 52.59% |
| 106 | KT | KT987 | high card | 1,020 | 1.64% | 1 : 59.8 | 50.95% |
| 107 | K6 | K9876 | high card | 1,020 | 1.64% | 1 : 59.8 | 49.30% |
| 108 | K5 | K9875 | high card | 1,020 | 1.64% | 1 : 59.8 | 47.66% |
| 109 | K4 | K9874 | high card | 1,020 | 1.64% | 1 : 59.8 | 46.02% |
| 110 | K3 | K9873 | high card | 1,020 | 1.64% | 1 : 59.8 | 44.37% |
| 111 | K2 | K9872 | high card | 1,020 | 1.64% | 1 : 59.8 | 42.73% |
| 112 | QJ | QJ987 | high card | 1,020 | 1.64% | 1 : 59.8 | 41.09% |
| 113 | QT | QT987 | high card | 1,020 | 1.64% | 1 : 59.8 | 39.44% |
| 114 | Q6 | Q9876 | high card | 1,020 | 1.64% | 1 : 59.8 | 37.80% |
| 115 | Q5 | Q9875 | high card | 1,020 | 1.64% | 1 : 59.8 | 36.16% |
| 116 | Q4 | Q9874 | high card | 1,020 | 1.64% | 1 : 59.8 | 34.51% |
| 117 | Q3 | Q9873 | high card | 1,020 | 1.64% | 1 : 59.8 | 32.87% |
| 118 | Q2 | Q9872 | high card | 1,020 | 1.64% | 1 : 59.8 | 31.23% |
| 119 | J6 | J9876 | high card | 1,020 | 1.64% | 1 : 59.8 | 29.58% |
| 120 | J5 | J9875 | high card | 1,020 | 1.64% | 1 : 59.8 | 27.94% |
| 121 | J4 | J9874 | high card | 1,020 | 1.64% | 1 : 59.8 | 26.30% |
| 122 | J3 | J9873 | high card | 1,020 | 1.64% | 1 : 59.8 | 24.65% |
| 123 | J2 | J9872 | high card | 1,020 | 1.64% | 1 : 59.8 | 23.01% |
| 124 | T5 | T9875 | high card | 1,020 | 1.64% | 1 : 59.8 | 21.37% |
| 125 | T4 | T9874 | high card | 1,020 | 1.64% | 1 : 59.8 | 19.72% |
| 126 | T3 | T9873 | high card | 1,020 | 1.64% | 1 : 59.8 | 18.08% |
| 127 | T2 | T9872 | high card | 1,020 | 1.64% | 1 : 59.8 | 16.43% |
| 128 | 64 | 98764 | high card | 1,020 | 1.64% | 1 : 59.8 | 14.79% |
| 129 | 63 | 98763 | high card | 1,020 | 1.64% | 1 : 59.8 | 13.15% |
| 130 | 62 | 98762 | high card | 1,020 | 1.64% | 1 : 59.8 | 11.50% |
| 131 | 54 | 98754 | high card | 1,020 | 1.64% | 1 : 59.8 | 9.86% |
| 132 | 53 | 98753 | high card | 1,020 | 1.64% | 1 : 59.8 | 8.22% |
| 133 | 52 | 98752 | high card | 1,020 | 1.64% | 1 : 59.8 | 6.57% |
| 134 | 43 | 98743 | high card | 1,020 | 1.64% | 1 : 59.8 | 4.93% |
| 135 | 42 | 98742 | high card | 1,020 | 1.64% | 1 : 59.8 | 3.29% |
| 136 | 32 | 98732 | high card | 1,020 | 1.64% | 1 : 59.8 | 1.64% |