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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 | 0 | 0 | impossible | impossible |
four of a kind | 1 | 4 | 0.02% | 1 : 6260 |
full house | 2 | 48 | 0.19% | 1 : 521 |
flush | 0 | 0 | impossible | impossible |
straight | 0 | 0 | impossible | impossible |
three of a kind | 11 | 704 | 2.81% | 1 : 34.6 |
two pairs | 22 | 3,168 | 12.65% | 1 : 6.91 |
one pair | 55 | 21,120 | 84.33% | 5.38 : 1 |
high card | 0 | 0 | impossible | impossible |
total | 91 | 25,044 | 100 % |
ranking of all 91 distinct hole cards | |||||||
---|---|---|---|---|---|---|---|
hole cards | hand | category | combinations | probability | odds | equity | |
nuts | 44 | 54444 | four of a kind | 4 | 0.02% | 1 : 6260 | 100.00% |
2 | 55 | 55544 | full house | 24 | 0.10% | 1 : 1043 | 99.98% |
3 | 54 | 55444 | full house | 24 | 0.10% | 1 : 1043 | 99.89% |
4 | A4 | A5444 | three of a kind | 64 | 0.26% | 1 : 390 | 99.79% |
5 | K4 | K5444 | three of a kind | 64 | 0.26% | 1 : 390 | 99.54% |
6 | Q4 | Q5444 | three of a kind | 64 | 0.26% | 1 : 390 | 99.28% |
7 | J4 | J5444 | three of a kind | 64 | 0.26% | 1 : 390 | 99.03% |
8 | T4 | T5444 | three of a kind | 64 | 0.26% | 1 : 390 | 98.77% |
9 | 94 | 95444 | three of a kind | 64 | 0.26% | 1 : 390 | 98.51% |
10 | 84 | 85444 | three of a kind | 64 | 0.26% | 1 : 390 | 98.26% |
11 | 74 | 75444 | three of a kind | 64 | 0.26% | 1 : 390 | 98.00% |
12 | 64 | 65444 | three of a kind | 64 | 0.26% | 1 : 390 | 97.75% |
13 | 43 | 54443 | three of a kind | 64 | 0.26% | 1 : 390 | 97.49% |
14 | 42 | 54442 | three of a kind | 64 | 0.26% | 1 : 390 | 97.24% |
15 | AA | AA544 | two pairs | 144 | 0.57% | 1 : 173 | 96.98% |
16 | KK | KK544 | two pairs | 144 | 0.57% | 1 : 173 | 96.41% |
17 | QQ544 | two pairs | 144 | 0.57% | 1 : 173 | 95.83% | |
18 | JJ | JJ544 | two pairs | 144 | 0.57% | 1 : 173 | 95.26% |
19 | TT | TT544 | two pairs | 144 | 0.57% | 1 : 173 | 94.68% |
20 | 99 | 99544 | two pairs | 144 | 0.57% | 1 : 173 | 94.11% |
21 | 88 | 88544 | two pairs | 144 | 0.57% | 1 : 173 | 93.53% |
22 | 77 | 77544 | two pairs | 144 | 0.57% | 1 : 173 | 92.96% |
23 | 66 | 66544 | two pairs | 144 | 0.57% | 1 : 173 | 92.38% |
24 | A5 | A5544 | two pairs | 144 | 0.57% | 1 : 173 | 91.81% |
25 | K5 | K5544 | two pairs | 144 | 0.57% | 1 : 173 | 91.23% |
26 | Q5 | Q5544 | two pairs | 144 | 0.57% | 1 : 173 | 90.66% |
27 | J5 | J5544 | two pairs | 144 | 0.57% | 1 : 173 | 90.08% |
28 | T5 | T5544 | two pairs | 144 | 0.57% | 1 : 173 | 89.51% |
29 | 95 | 95544 | two pairs | 144 | 0.57% | 1 : 173 | 88.93% |
30 | 85 | 85544 | two pairs | 144 | 0.57% | 1 : 173 | 88.36% |
31 | 75 | 75544 | two pairs | 144 | 0.57% | 1 : 173 | 87.78% |
32 | 65 | 65544 | two pairs | 144 | 0.57% | 1 : 173 | 87.21% |
33 | 53 | 55443 | two pairs | 144 | 0.57% | 1 : 173 | 86.63% |
34 | 52 | 55442 | two pairs | 144 | 0.57% | 1 : 173 | 86.06% |
35 | 33 | 54433 | two pairs | 144 | 0.57% | 1 : 173 | 85.48% |
36 | 22 | 54422 | two pairs | 144 | 0.57% | 1 : 173 | 84.91% |
37 | AK | AK544 | one pair | 384 | 1.53% | 1 : 64.2 | 84.33% |
38 | AQ | AQ544 | one pair | 384 | 1.53% | 1 : 64.2 | 82.80% |
39 | AJ | AJ544 | one pair | 384 | 1.53% | 1 : 64.2 | 81.26% |
40 | AT | AT544 | one pair | 384 | 1.53% | 1 : 64.2 | 79.73% |
41 | A9 | A9544 | one pair | 384 | 1.53% | 1 : 64.2 | 78.20% |
42 | A8 | A8544 | one pair | 384 | 1.53% | 1 : 64.2 | 76.67% |
43 | A7 | A7544 | one pair | 384 | 1.53% | 1 : 64.2 | 75.13% |
44 | A6 | A6544 | one pair | 384 | 1.53% | 1 : 64.2 | 73.60% |
45 | A3 | A5443 | one pair | 384 | 1.53% | 1 : 64.2 | 72.07% |
46 | A2 | A5442 | one pair | 384 | 1.53% | 1 : 64.2 | 70.53% |
47 | KQ | KQ544 | one pair | 384 | 1.53% | 1 : 64.2 | 69.00% |
48 | KJ | KJ544 | one pair | 384 | 1.53% | 1 : 64.2 | 67.47% |
49 | KT | KT544 | one pair | 384 | 1.53% | 1 : 64.2 | 65.93% |
50 | K9 | K9544 | one pair | 384 | 1.53% | 1 : 64.2 | 64.40% |
51 | K8 | K8544 | one pair | 384 | 1.53% | 1 : 64.2 | 62.87% |
52 | K7 | K7544 | one pair | 384 | 1.53% | 1 : 64.2 | 61.33% |
53 | K6 | K6544 | one pair | 384 | 1.53% | 1 : 64.2 | 59.80% |
54 | K3 | K5443 | one pair | 384 | 1.53% | 1 : 64.2 | 58.27% |
55 | K2 | K5442 | one pair | 384 | 1.53% | 1 : 64.2 | 56.73% |
56 | QJ | QJ544 | one pair | 384 | 1.53% | 1 : 64.2 | 55.20% |
57 | QT | QT544 | one pair | 384 | 1.53% | 1 : 64.2 | 53.67% |
58 | Q9 | Q9544 | one pair | 384 | 1.53% | 1 : 64.2 | 52.13% |
59 | Q8 | Q8544 | one pair | 384 | 1.53% | 1 : 64.2 | 50.60% |
60 | Q7 | Q7544 | one pair | 384 | 1.53% | 1 : 64.2 | 49.07% |
61 | Q6 | Q6544 | one pair | 384 | 1.53% | 1 : 64.2 | 47.53% |
62 | Q3 | Q5443 | one pair | 384 | 1.53% | 1 : 64.2 | 46.00% |
63 | Q2 | Q5442 | one pair | 384 | 1.53% | 1 : 64.2 | 44.47% |
64 | JT | JT544 | one pair | 384 | 1.53% | 1 : 64.2 | 42.93% |
65 | J9 | J9544 | one pair | 384 | 1.53% | 1 : 64.2 | 41.40% |
66 | J8 | J8544 | one pair | 384 | 1.53% | 1 : 64.2 | 39.87% |
67 | J7 | J7544 | one pair | 384 | 1.53% | 1 : 64.2 | 38.33% |
68 | J6 | J6544 | one pair | 384 | 1.53% | 1 : 64.2 | 36.80% |
69 | J3 | J5443 | one pair | 384 | 1.53% | 1 : 64.2 | 35.27% |
70 | J2 | J5442 | one pair | 384 | 1.53% | 1 : 64.2 | 33.73% |
71 | T9 | T9544 | one pair | 384 | 1.53% | 1 : 64.2 | 32.20% |
72 | T8 | T8544 | one pair | 384 | 1.53% | 1 : 64.2 | 30.67% |
73 | T7 | T7544 | one pair | 384 | 1.53% | 1 : 64.2 | 29.13% |
74 | T6 | T6544 | one pair | 384 | 1.53% | 1 : 64.2 | 27.60% |
75 | T3 | T5443 | one pair | 384 | 1.53% | 1 : 64.2 | 26.07% |
76 | T2 | T5442 | one pair | 384 | 1.53% | 1 : 64.2 | 24.53% |
77 | 98 | 98544 | one pair | 384 | 1.53% | 1 : 64.2 | 23.00% |
78 | 97 | 97544 | one pair | 384 | 1.53% | 1 : 64.2 | 21.47% |
79 | 96 | 96544 | one pair | 384 | 1.53% | 1 : 64.2 | 19.93% |
80 | 93 | 95443 | one pair | 384 | 1.53% | 1 : 64.2 | 18.40% |
81 | 92 | 95442 | one pair | 384 | 1.53% | 1 : 64.2 | 16.87% |
82 | 87 | 87544 | one pair | 384 | 1.53% | 1 : 64.2 | 15.33% |
83 | 86 | 86544 | one pair | 384 | 1.53% | 1 : 64.2 | 13.80% |
84 | 83 | 85443 | one pair | 384 | 1.53% | 1 : 64.2 | 12.27% |
85 | 82 | 85442 | one pair | 384 | 1.53% | 1 : 64.2 | 10.73% |
86 | 76 | 76544 | one pair | 384 | 1.53% | 1 : 64.2 | 9.20% |
87 | 73 | 75443 | one pair | 384 | 1.53% | 1 : 64.2 | 7.67% |
88 | 72 | 75442 | one pair | 384 | 1.53% | 1 : 64.2 | 6.13% |
89 | 63 | 65443 | one pair | 384 | 1.53% | 1 : 64.2 | 4.60% |
90 | 62 | 65442 | one pair | 384 | 1.53% | 1 : 64.2 | 3.07% |
91 | 32 | 54432 | one pair | 384 | 1.53% | 1 : 64.2 | 1.53% |