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popular queries: AAA, AKK, AKQ, ... |
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 | T9s | T9876 | straight flush | 4 | 0.01% | 1 : 15515 | 100.00% |
2 | 95s | 98765 | straight flush | 4 | 0.01% | 1 : 15515 | 99.99% |
3 | 54s | 87654 | straight flush | 4 | 0.01% | 1 : 15515 | 99.99% |
4 | AKs | AK876 | flush | 4 | 0.01% | 1 : 15515 | 99.98% |
5 | AQs | AQ876 | flush | 4 | 0.01% | 1 : 15515 | 99.97% |
6 | AJs | AJ876 | flush | 4 | 0.01% | 1 : 15515 | 99.97% |
7 | ATs | AT876 | flush | 4 | 0.01% | 1 : 15515 | 99.96% |
8 | A9s | A9876 | flush | 4 | 0.01% | 1 : 15515 | 99.95% |
9 | A5s | A8765 | flush | 4 | 0.01% | 1 : 15515 | 99.95% |
10 | A4s | A8764 | flush | 4 | 0.01% | 1 : 15515 | 99.94% |
11 | A3s | A8763 | flush | 4 | 0.01% | 1 : 15515 | 99.94% |
12 | A2s | A8762 | flush | 4 | 0.01% | 1 : 15515 | 99.93% |
13 | KQs | KQ876 | flush | 4 | 0.01% | 1 : 15515 | 99.92% |
14 | KJs | KJ876 | flush | 4 | 0.01% | 1 : 15515 | 99.92% |
15 | KTs | KT876 | flush | 4 | 0.01% | 1 : 15515 | 99.91% |
16 | K9s | K9876 | flush | 4 | 0.01% | 1 : 15515 | 99.90% |
17 | K5s | K8765 | flush | 4 | 0.01% | 1 : 15515 | 99.90% |
18 | K4s | K8764 | flush | 4 | 0.01% | 1 : 15515 | 99.89% |
19 | K3s | K8763 | flush | 4 | 0.01% | 1 : 15515 | 99.88% |
20 | K2s | K8762 | flush | 4 | 0.01% | 1 : 15515 | 99.88% |
21 | QJs | QJ876 | flush | 4 | 0.01% | 1 : 15515 | 99.87% |
22 | QTs | QT876 | flush | 4 | 0.01% | 1 : 15515 | 99.86% |
23 | Q9s | Q9876 | flush | 4 | 0.01% | 1 : 15515 | 99.86% |
24 | Q5s | Q8765 | flush | 4 | 0.01% | 1 : 15515 | 99.85% |
25 | Q4s | Q8764 | flush | 4 | 0.01% | 1 : 15515 | 99.85% |
26 | Q3s | Q8763 | flush | 4 | 0.01% | 1 : 15515 | 99.84% |
27 | Q2s | Q8762 | flush | 4 | 0.01% | 1 : 15515 | 99.83% |
28 | JTs | JT876 | flush | 4 | 0.01% | 1 : 15515 | 99.83% |
29 | J9s | J9876 | flush | 4 | 0.01% | 1 : 15515 | 99.82% |
30 | J5s | J8765 | flush | 4 | 0.01% | 1 : 15515 | 99.81% |
31 | J4s | J8764 | flush | 4 | 0.01% | 1 : 15515 | 99.81% |
32 | J3s | J8763 | flush | 4 | 0.01% | 1 : 15515 | 99.80% |
33 | J2s | J8762 | flush | 4 | 0.01% | 1 : 15515 | 99.79% |
34 | T5s | T8765 | flush | 4 | 0.01% | 1 : 15515 | 99.79% |
35 | T4s | T8764 | flush | 4 | 0.01% | 1 : 15515 | 99.78% |
36 | T3s | T8763 | flush | 4 | 0.01% | 1 : 15515 | 99.77% |
37 | T2s | T8762 | flush | 4 | 0.01% | 1 : 15515 | 99.77% |
38 | 94s | 98764 | flush | 4 | 0.01% | 1 : 15515 | 99.76% |
39 | 93s | 98763 | flush | 4 | 0.01% | 1 : 15515 | 99.76% |
40 | 92s | 98762 | flush | 4 | 0.01% | 1 : 15515 | 99.75% |
41 | 53s | 87653 | flush | 4 | 0.01% | 1 : 15515 | 99.74% |
42 | 52s | 87652 | flush | 4 | 0.01% | 1 : 15515 | 99.74% |
43 | 43s | 87643 | flush | 4 | 0.01% | 1 : 15515 | 99.73% |
44 | 42s | 87642 | flush | 4 | 0.01% | 1 : 15515 | 99.72% |
45 | 32s | 87632 | flush | 4 | 0.01% | 1 : 15515 | 99.72% |
46 | T9 | T9876 | straight | 1,020 | 1.64% | 1 : 59.8 | 99.71% |
47 | 95 | 98765 | straight | 1,020 | 1.64% | 1 : 59.8 | 98.07% |
48 | 54 | 87654 | straight | 1,020 | 1.64% | 1 : 59.8 | 96.42% |
49 | 88 | 88876 | three of a kind | 64 | 0.10% | 1 : 969 | 94.78% |
50 | 77 | 87776 | three of a kind | 64 | 0.10% | 1 : 969 | 94.68% |
51 | 66 | 87666 | three of a kind | 64 | 0.10% | 1 : 969 | 94.57% |
52 | 87 | 88776 | two pairs | 144 | 0.23% | 1 : 430 | 94.47% |
53 | 86 | 88766 | two pairs | 144 | 0.23% | 1 : 430 | 94.24% |
54 | 76 | 87766 | two pairs | 144 | 0.23% | 1 : 430 | 94.01% |
55 | AA | AA876 | one pair | 384 | 0.62% | 1 : 161 | 93.77% |
56 | KK | KK876 | one pair | 384 | 0.62% | 1 : 161 | 93.16% |
57 | QQ876 | one pair | 384 | 0.62% | 1 : 161 | 92.54% | |
58 | JJ | JJ876 | one pair | 384 | 0.62% | 1 : 161 | 91.92% |
59 | TT | TT876 | one pair | 384 | 0.62% | 1 : 161 | 91.30% |
60 | 99 | 99876 | one pair | 384 | 0.62% | 1 : 161 | 90.68% |
61 | A8 | A8876 | one pair | 384 | 0.62% | 1 : 161 | 90.06% |
62 | K8 | K8876 | one pair | 384 | 0.62% | 1 : 161 | 89.44% |
63 | Q8 | Q8876 | one pair | 384 | 0.62% | 1 : 161 | 88.82% |
64 | J8 | J8876 | one pair | 384 | 0.62% | 1 : 161 | 88.21% |
65 | T8 | T8876 | one pair | 384 | 0.62% | 1 : 161 | 87.59% |
66 | 98 | 98876 | one pair | 384 | 0.62% | 1 : 161 | 86.97% |
67 | 85 | 88765 | one pair | 384 | 0.62% | 1 : 161 | 86.35% |
68 | 84 | 88764 | one pair | 384 | 0.62% | 1 : 161 | 85.73% |
69 | 83 | 88763 | one pair | 384 | 0.62% | 1 : 161 | 85.11% |
70 | 82 | 88762 | one pair | 384 | 0.62% | 1 : 161 | 84.49% |
71 | A7 | A8776 | one pair | 384 | 0.62% | 1 : 161 | 83.87% |
72 | K7 | K8776 | one pair | 384 | 0.62% | 1 : 161 | 83.26% |
73 | Q7 | Q8776 | one pair | 384 | 0.62% | 1 : 161 | 82.64% |
74 | J7 | J8776 | one pair | 384 | 0.62% | 1 : 161 | 82.02% |
75 | T7 | T8776 | one pair | 384 | 0.62% | 1 : 161 | 81.40% |
76 | 97 | 98776 | one pair | 384 | 0.62% | 1 : 161 | 80.78% |
77 | 75 | 87765 | one pair | 384 | 0.62% | 1 : 161 | 80.16% |
78 | 74 | 87764 | one pair | 384 | 0.62% | 1 : 161 | 79.54% |
79 | 73 | 87763 | one pair | 384 | 0.62% | 1 : 161 | 78.92% |
80 | 72 | 87762 | one pair | 384 | 0.62% | 1 : 161 | 78.31% |
81 | A6 | A8766 | one pair | 384 | 0.62% | 1 : 161 | 77.69% |
82 | K6 | K8766 | one pair | 384 | 0.62% | 1 : 161 | 77.07% |
83 | Q6 | Q8766 | one pair | 384 | 0.62% | 1 : 161 | 76.45% |
84 | J6 | J8766 | one pair | 384 | 0.62% | 1 : 161 | 75.83% |
85 | T6 | T8766 | one pair | 384 | 0.62% | 1 : 161 | 75.21% |
86 | 96 | 98766 | one pair | 384 | 0.62% | 1 : 161 | 74.59% |
87 | 65 | 87665 | one pair | 384 | 0.62% | 1 : 161 | 73.98% |
88 | 64 | 87664 | one pair | 384 | 0.62% | 1 : 161 | 73.36% |
89 | 63 | 87663 | one pair | 384 | 0.62% | 1 : 161 | 72.74% |
90 | 62 | 87662 | one pair | 384 | 0.62% | 1 : 161 | 72.12% |
91 | 55 | 87655 | one pair | 384 | 0.62% | 1 : 161 | 71.50% |
92 | 44 | 87644 | one pair | 384 | 0.62% | 1 : 161 | 70.88% |
93 | 33 | 87633 | one pair | 384 | 0.62% | 1 : 161 | 70.26% |
94 | 22 | 87622 | one pair | 384 | 0.62% | 1 : 161 | 69.64% |
95 | AK | AK876 | high card | 1,020 | 1.64% | 1 : 59.8 | 69.03% |
96 | AQ | AQ876 | high card | 1,020 | 1.64% | 1 : 59.8 | 67.38% |
97 | AJ | AJ876 | high card | 1,020 | 1.64% | 1 : 59.8 | 65.74% |
98 | AT | AT876 | high card | 1,020 | 1.64% | 1 : 59.8 | 64.10% |
99 | A9 | A9876 | high card | 1,020 | 1.64% | 1 : 59.8 | 62.45% |
100 | A5 | A8765 | high card | 1,020 | 1.64% | 1 : 59.8 | 60.81% |
101 | A4 | A8764 | high card | 1,020 | 1.64% | 1 : 59.8 | 59.16% |
102 | A3 | A8763 | high card | 1,020 | 1.64% | 1 : 59.8 | 57.52% |
103 | A2 | A8762 | high card | 1,020 | 1.64% | 1 : 59.8 | 55.88% |
104 | KQ | KQ876 | high card | 1,020 | 1.64% | 1 : 59.8 | 54.23% |
105 | KJ | KJ876 | high card | 1,020 | 1.64% | 1 : 59.8 | 52.59% |
106 | KT | KT876 | high card | 1,020 | 1.64% | 1 : 59.8 | 50.95% |
107 | K9 | K9876 | high card | 1,020 | 1.64% | 1 : 59.8 | 49.30% |
108 | K5 | K8765 | high card | 1,020 | 1.64% | 1 : 59.8 | 47.66% |
109 | K4 | K8764 | high card | 1,020 | 1.64% | 1 : 59.8 | 46.02% |
110 | K3 | K8763 | high card | 1,020 | 1.64% | 1 : 59.8 | 44.37% |
111 | K2 | K8762 | high card | 1,020 | 1.64% | 1 : 59.8 | 42.73% |
112 | QJ | QJ876 | high card | 1,020 | 1.64% | 1 : 59.8 | 41.09% |
113 | QT | QT876 | high card | 1,020 | 1.64% | 1 : 59.8 | 39.44% |
114 | Q9 | Q9876 | high card | 1,020 | 1.64% | 1 : 59.8 | 37.80% |
115 | Q5 | Q8765 | high card | 1,020 | 1.64% | 1 : 59.8 | 36.16% |
116 | Q4 | Q8764 | high card | 1,020 | 1.64% | 1 : 59.8 | 34.51% |
117 | Q3 | Q8763 | high card | 1,020 | 1.64% | 1 : 59.8 | 32.87% |
118 | Q2 | Q8762 | high card | 1,020 | 1.64% | 1 : 59.8 | 31.23% |
119 | JT | JT876 | high card | 1,020 | 1.64% | 1 : 59.8 | 29.58% |
120 | J9 | J9876 | high card | 1,020 | 1.64% | 1 : 59.8 | 27.94% |
121 | J5 | J8765 | high card | 1,020 | 1.64% | 1 : 59.8 | 26.30% |
122 | J4 | J8764 | high card | 1,020 | 1.64% | 1 : 59.8 | 24.65% |
123 | J3 | J8763 | high card | 1,020 | 1.64% | 1 : 59.8 | 23.01% |
124 | J2 | J8762 | high card | 1,020 | 1.64% | 1 : 59.8 | 21.37% |
125 | T5 | T8765 | high card | 1,020 | 1.64% | 1 : 59.8 | 19.72% |
126 | T4 | T8764 | high card | 1,020 | 1.64% | 1 : 59.8 | 18.08% |
127 | T3 | T8763 | high card | 1,020 | 1.64% | 1 : 59.8 | 16.43% |
128 | T2 | T8762 | high card | 1,020 | 1.64% | 1 : 59.8 | 14.79% |
129 | 94 | 98764 | high card | 1,020 | 1.64% | 1 : 59.8 | 13.15% |
130 | 93 | 98763 | high card | 1,020 | 1.64% | 1 : 59.8 | 11.50% |
131 | 92 | 98762 | high card | 1,020 | 1.64% | 1 : 59.8 | 9.86% |
132 | 53 | 87653 | high card | 1,020 | 1.64% | 1 : 59.8 | 8.22% |
133 | 52 | 87652 | high card | 1,020 | 1.64% | 1 : 59.8 | 6.57% |
134 | 43 | 87643 | high card | 1,020 | 1.64% | 1 : 59.8 | 4.93% |
135 | 42 | 87642 | high card | 1,020 | 1.64% | 1 : 59.8 | 3.29% |
136 | 32 | 87632 | high card | 1,020 | 1.64% | 1 : 59.8 | 1.64% |