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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 | 1 | 4 | 0.01% | 1 : 15515 |
| straight flush | 0 | 0 | impossible | impossible |
| four of a kind | 0 | 0 | impossible | impossible |
| full house | 0 | 0 | impossible | impossible |
| flush | 44 | 176 | 0.28% | 1 : 352 |
| straight | 1 | 1,020 | 1.64% | 1 : 59.8 |
| 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 | 44 | 44,880 | 72.31% | 2.61 : 1 |
| total | 136 | 62,064 | 100 % | |
| ranking of all 136 distinct hole cards | |||||||
|---|---|---|---|---|---|---|---|
| hole cards | hand | category | combinations | probability | odds | equity | |
| nuts | KQs | AKQJT | royal flush | 4 | 0.01% | 1 : 15515 | 100.00% |
| 2 | K9s | AKJT9 | flush | 4 | 0.01% | 1 : 15515 | 99.99% |
| 3 | K8s | AKJT8 | flush | 4 | 0.01% | 1 : 15515 | 99.99% |
| 4 | K7s | AKJT7 | flush | 4 | 0.01% | 1 : 15515 | 99.98% |
| 5 | K6s | AKJT6 | flush | 4 | 0.01% | 1 : 15515 | 99.97% |
| 6 | K5s | AKJT5 | flush | 4 | 0.01% | 1 : 15515 | 99.97% |
| 7 | K4s | AKJT4 | flush | 4 | 0.01% | 1 : 15515 | 99.96% |
| 8 | K3s | AKJT3 | flush | 4 | 0.01% | 1 : 15515 | 99.95% |
| 9 | K2s | AKJT2 | flush | 4 | 0.01% | 1 : 15515 | 99.95% |
| 10 | Q9s | AQJT9 | flush | 4 | 0.01% | 1 : 15515 | 99.94% |
| 11 | Q8s | AQJT8 | flush | 4 | 0.01% | 1 : 15515 | 99.94% |
| 12 | Q7s | AQJT7 | flush | 4 | 0.01% | 1 : 15515 | 99.93% |
| 13 | Q6s | AQJT6 | flush | 4 | 0.01% | 1 : 15515 | 99.92% |
| 14 | Q5s | AQJT5 | flush | 4 | 0.01% | 1 : 15515 | 99.92% |
| 15 | Q4s | AQJT4 | flush | 4 | 0.01% | 1 : 15515 | 99.91% |
| 16 | Q3s | AQJT3 | flush | 4 | 0.01% | 1 : 15515 | 99.90% |
| 17 | Q2s | AQJT2 | flush | 4 | 0.01% | 1 : 15515 | 99.90% |
| 18 | 98s | AJT98 | flush | 4 | 0.01% | 1 : 15515 | 99.89% |
| 19 | 97s | AJT97 | flush | 4 | 0.01% | 1 : 15515 | 99.88% |
| 20 | 96s | AJT96 | flush | 4 | 0.01% | 1 : 15515 | 99.88% |
| 21 | 95s | AJT95 | flush | 4 | 0.01% | 1 : 15515 | 99.87% |
| 22 | 94s | AJT94 | flush | 4 | 0.01% | 1 : 15515 | 99.86% |
| 23 | 93s | AJT93 | flush | 4 | 0.01% | 1 : 15515 | 99.86% |
| 24 | 92s | AJT92 | flush | 4 | 0.01% | 1 : 15515 | 99.85% |
| 25 | 87s | AJT87 | flush | 4 | 0.01% | 1 : 15515 | 99.85% |
| 26 | 86s | AJT86 | flush | 4 | 0.01% | 1 : 15515 | 99.84% |
| 27 | 85s | AJT85 | flush | 4 | 0.01% | 1 : 15515 | 99.83% |
| 28 | 84s | AJT84 | flush | 4 | 0.01% | 1 : 15515 | 99.83% |
| 29 | 83s | AJT83 | flush | 4 | 0.01% | 1 : 15515 | 99.82% |
| 30 | 82s | AJT82 | flush | 4 | 0.01% | 1 : 15515 | 99.81% |
| 31 | 76s | AJT76 | flush | 4 | 0.01% | 1 : 15515 | 99.81% |
| 32 | 75s | AJT75 | flush | 4 | 0.01% | 1 : 15515 | 99.80% |
| 33 | 74s | AJT74 | flush | 4 | 0.01% | 1 : 15515 | 99.79% |
| 34 | 73s | AJT73 | flush | 4 | 0.01% | 1 : 15515 | 99.79% |
| 35 | 72s | AJT72 | flush | 4 | 0.01% | 1 : 15515 | 99.78% |
| 36 | 65s | AJT65 | flush | 4 | 0.01% | 1 : 15515 | 99.77% |
| 37 | 64s | AJT64 | flush | 4 | 0.01% | 1 : 15515 | 99.77% |
| 38 | 63s | AJT63 | flush | 4 | 0.01% | 1 : 15515 | 99.76% |
| 39 | 62s | AJT62 | flush | 4 | 0.01% | 1 : 15515 | 99.76% |
| 40 | 54s | AJT54 | flush | 4 | 0.01% | 1 : 15515 | 99.75% |
| 41 | 53s | AJT53 | flush | 4 | 0.01% | 1 : 15515 | 99.74% |
| 42 | 52s | AJT52 | flush | 4 | 0.01% | 1 : 15515 | 99.74% |
| 43 | 43s | AJT43 | flush | 4 | 0.01% | 1 : 15515 | 99.73% |
| 44 | 42s | AJT42 | flush | 4 | 0.01% | 1 : 15515 | 99.72% |
| 45 | 32s | AJT32 | flush | 4 | 0.01% | 1 : 15515 | 99.72% |
| 46 | KQ | AKQJT | straight | 1,020 | 1.64% | 1 : 59.8 | 99.71% |
| 47 | AA | AAAJT | three of a kind | 64 | 0.10% | 1 : 969 | 98.07% |
| 48 | JJ | AJJJT | three of a kind | 64 | 0.10% | 1 : 969 | 97.96% |
| 49 | TT | AJTTT | three of a kind | 64 | 0.10% | 1 : 969 | 97.86% |
| 50 | AJ | AAJJT | two pairs | 144 | 0.23% | 1 : 430 | 97.76% |
| 51 | AT | AAJTT | two pairs | 144 | 0.23% | 1 : 430 | 97.53% |
| 52 | JT | AJJTT | two pairs | 144 | 0.23% | 1 : 430 | 97.29% |
| 53 | AK | AAKJT | one pair | 384 | 0.62% | 1 : 161 | 97.06% |
| 54 | AQ | AAQJT | one pair | 384 | 0.62% | 1 : 161 | 96.44% |
| 55 | A9 | AAJT9 | one pair | 384 | 0.62% | 1 : 161 | 95.82% |
| 56 | A8 | AAJT8 | one pair | 384 | 0.62% | 1 : 161 | 95.20% |
| 57 | A7 | AAJT7 | one pair | 384 | 0.62% | 1 : 161 | 94.59% |
| 58 | A6 | AAJT6 | one pair | 384 | 0.62% | 1 : 161 | 93.97% |
| 59 | A5 | AAJT5 | one pair | 384 | 0.62% | 1 : 161 | 93.35% |
| 60 | A4 | AAJT4 | one pair | 384 | 0.62% | 1 : 161 | 92.73% |
| 61 | A3 | AAJT3 | one pair | 384 | 0.62% | 1 : 161 | 92.11% |
| 62 | A2 | AAJT2 | one pair | 384 | 0.62% | 1 : 161 | 91.49% |
| 63 | KK | AKKJT | one pair | 384 | 0.62% | 1 : 161 | 90.87% |
| 64 | AQQJT | one pair | 384 | 0.62% | 1 : 161 | 90.26% | |
| 65 | KJ | AKJJT | one pair | 384 | 0.62% | 1 : 161 | 89.64% |
| 66 | QJ | AQJJT | one pair | 384 | 0.62% | 1 : 161 | 89.02% |
| 67 | J9 | AJJT9 | one pair | 384 | 0.62% | 1 : 161 | 88.40% |
| 68 | J8 | AJJT8 | one pair | 384 | 0.62% | 1 : 161 | 87.78% |
| 69 | J7 | AJJT7 | one pair | 384 | 0.62% | 1 : 161 | 87.16% |
| 70 | J6 | AJJT6 | one pair | 384 | 0.62% | 1 : 161 | 86.54% |
| 71 | J5 | AJJT5 | one pair | 384 | 0.62% | 1 : 161 | 85.92% |
| 72 | J4 | AJJT4 | one pair | 384 | 0.62% | 1 : 161 | 85.31% |
| 73 | J3 | AJJT3 | one pair | 384 | 0.62% | 1 : 161 | 84.69% |
| 74 | J2 | AJJT2 | one pair | 384 | 0.62% | 1 : 161 | 84.07% |
| 75 | KT | AKJTT | one pair | 384 | 0.62% | 1 : 161 | 83.45% |
| 76 | QT | AQJTT | one pair | 384 | 0.62% | 1 : 161 | 82.83% |
| 77 | T9 | AJTT9 | one pair | 384 | 0.62% | 1 : 161 | 82.21% |
| 78 | T8 | AJTT8 | one pair | 384 | 0.62% | 1 : 161 | 81.59% |
| 79 | T7 | AJTT7 | one pair | 384 | 0.62% | 1 : 161 | 80.97% |
| 80 | T6 | AJTT6 | one pair | 384 | 0.62% | 1 : 161 | 80.36% |
| 81 | T5 | AJTT5 | one pair | 384 | 0.62% | 1 : 161 | 79.74% |
| 82 | T4 | AJTT4 | one pair | 384 | 0.62% | 1 : 161 | 79.12% |
| 83 | T3 | AJTT3 | one pair | 384 | 0.62% | 1 : 161 | 78.50% |
| 84 | T2 | AJTT2 | one pair | 384 | 0.62% | 1 : 161 | 77.88% |
| 85 | 99 | AJT99 | one pair | 384 | 0.62% | 1 : 161 | 77.26% |
| 86 | 88 | AJT88 | one pair | 384 | 0.62% | 1 : 161 | 76.64% |
| 87 | 77 | AJT77 | one pair | 384 | 0.62% | 1 : 161 | 76.02% |
| 88 | 66 | AJT66 | one pair | 384 | 0.62% | 1 : 161 | 75.41% |
| 89 | 55 | AJT55 | one pair | 384 | 0.62% | 1 : 161 | 74.79% |
| 90 | 44 | AJT44 | one pair | 384 | 0.62% | 1 : 161 | 74.17% |
| 91 | 33 | AJT33 | one pair | 384 | 0.62% | 1 : 161 | 73.55% |
| 92 | 22 | AJT22 | one pair | 384 | 0.62% | 1 : 161 | 72.93% |
| 93 | K9 | AKJT9 | high card | 1,020 | 1.64% | 1 : 59.8 | 72.31% |
| 94 | K8 | AKJT8 | high card | 1,020 | 1.64% | 1 : 59.8 | 70.67% |
| 95 | K7 | AKJT7 | high card | 1,020 | 1.64% | 1 : 59.8 | 69.03% |
| 96 | K6 | AKJT6 | high card | 1,020 | 1.64% | 1 : 59.8 | 67.38% |
| 97 | K5 | AKJT5 | high card | 1,020 | 1.64% | 1 : 59.8 | 65.74% |
| 98 | K4 | AKJT4 | high card | 1,020 | 1.64% | 1 : 59.8 | 64.10% |
| 99 | K3 | AKJT3 | high card | 1,020 | 1.64% | 1 : 59.8 | 62.45% |
| 100 | K2 | AKJT2 | high card | 1,020 | 1.64% | 1 : 59.8 | 60.81% |
| 101 | Q9 | AQJT9 | high card | 1,020 | 1.64% | 1 : 59.8 | 59.16% |
| 102 | Q8 | AQJT8 | high card | 1,020 | 1.64% | 1 : 59.8 | 57.52% |
| 103 | Q7 | AQJT7 | high card | 1,020 | 1.64% | 1 : 59.8 | 55.88% |
| 104 | Q6 | AQJT6 | high card | 1,020 | 1.64% | 1 : 59.8 | 54.23% |
| 105 | Q5 | AQJT5 | high card | 1,020 | 1.64% | 1 : 59.8 | 52.59% |
| 106 | Q4 | AQJT4 | high card | 1,020 | 1.64% | 1 : 59.8 | 50.95% |
| 107 | Q3 | AQJT3 | high card | 1,020 | 1.64% | 1 : 59.8 | 49.30% |
| 108 | Q2 | AQJT2 | high card | 1,020 | 1.64% | 1 : 59.8 | 47.66% |
| 109 | 98 | AJT98 | high card | 1,020 | 1.64% | 1 : 59.8 | 46.02% |
| 110 | 97 | AJT97 | high card | 1,020 | 1.64% | 1 : 59.8 | 44.37% |
| 111 | 96 | AJT96 | high card | 1,020 | 1.64% | 1 : 59.8 | 42.73% |
| 112 | 95 | AJT95 | high card | 1,020 | 1.64% | 1 : 59.8 | 41.09% |
| 113 | 94 | AJT94 | high card | 1,020 | 1.64% | 1 : 59.8 | 39.44% |
| 114 | 93 | AJT93 | high card | 1,020 | 1.64% | 1 : 59.8 | 37.80% |
| 115 | 92 | AJT92 | high card | 1,020 | 1.64% | 1 : 59.8 | 36.16% |
| 116 | 87 | AJT87 | high card | 1,020 | 1.64% | 1 : 59.8 | 34.51% |
| 117 | 86 | AJT86 | high card | 1,020 | 1.64% | 1 : 59.8 | 32.87% |
| 118 | 85 | AJT85 | high card | 1,020 | 1.64% | 1 : 59.8 | 31.23% |
| 119 | 84 | AJT84 | high card | 1,020 | 1.64% | 1 : 59.8 | 29.58% |
| 120 | 83 | AJT83 | high card | 1,020 | 1.64% | 1 : 59.8 | 27.94% |
| 121 | 82 | AJT82 | high card | 1,020 | 1.64% | 1 : 59.8 | 26.30% |
| 122 | 76 | AJT76 | high card | 1,020 | 1.64% | 1 : 59.8 | 24.65% |
| 123 | 75 | AJT75 | high card | 1,020 | 1.64% | 1 : 59.8 | 23.01% |
| 124 | 74 | AJT74 | high card | 1,020 | 1.64% | 1 : 59.8 | 21.37% |
| 125 | 73 | AJT73 | high card | 1,020 | 1.64% | 1 : 59.8 | 19.72% |
| 126 | 72 | AJT72 | high card | 1,020 | 1.64% | 1 : 59.8 | 18.08% |
| 127 | 65 | AJT65 | high card | 1,020 | 1.64% | 1 : 59.8 | 16.43% |
| 128 | 64 | AJT64 | high card | 1,020 | 1.64% | 1 : 59.8 | 14.79% |
| 129 | 63 | AJT63 | high card | 1,020 | 1.64% | 1 : 59.8 | 13.15% |
| 130 | 62 | AJT62 | high card | 1,020 | 1.64% | 1 : 59.8 | 11.50% |
| 131 | 54 | AJT54 | high card | 1,020 | 1.64% | 1 : 59.8 | 9.86% |
| 132 | 53 | AJT53 | high card | 1,020 | 1.64% | 1 : 59.8 | 8.22% |
| 133 | 52 | AJT52 | high card | 1,020 | 1.64% | 1 : 59.8 | 6.57% |
| 134 | 43 | AJT43 | high card | 1,020 | 1.64% | 1 : 59.8 | 4.93% |
| 135 | 42 | AJT42 | high card | 1,020 | 1.64% | 1 : 59.8 | 3.29% |
| 136 | 32 | AJT32 | high card | 1,020 | 1.64% | 1 : 59.8 | 1.64% |