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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 | 12 | 48 | 1.05% | 1 : 94.0 |
full house | 12 | 288 | 6.32% | 1 : 14.8 |
flush | 0 | 0 | impossible | impossible |
straight | 0 | 0 | impossible | impossible |
three of a kind | 66 | 4,224 | 92.63% | 12.6 : 1 |
two pairs | 0 | 0 | impossible | impossible |
one pair | 0 | 0 | impossible | impossible |
high card | 0 | 0 | impossible | impossible |
total | 90 | 4,560 | 100 % |
ranking of all 90 distinct hole cards | |||||||
---|---|---|---|---|---|---|---|
hole cards | hand | category | combinations | probability | odds | equity | |
nuts | AJ | AJJJJ | four of a kind | 4 | 0.09% | 1 : 1139 | 100.00% |
2 | KJ | KJJJJ | four of a kind | 4 | 0.09% | 1 : 1139 | 99.91% |
3 | QJ | QJJJJ | four of a kind | 4 | 0.09% | 1 : 1139 | 99.82% |
4 | JT | JJJJT | four of a kind | 4 | 0.09% | 1 : 1139 | 99.74% |
5 | J9 | JJJJ9 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.65% |
6 | J8 | JJJJ8 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.56% |
7 | J7 | JJJJ7 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.47% |
8 | J6 | JJJJ6 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.39% |
9 | J5 | JJJJ5 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.30% |
10 | J4 | JJJJ4 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.21% |
11 | J3 | JJJJ3 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.12% |
12 | J2 | JJJJ2 | four of a kind | 4 | 0.09% | 1 : 1139 | 99.04% |
13 | AA | AAJJJ | full house | 24 | 0.53% | 1 : 189 | 98.95% |
14 | KK | KKJJJ | full house | 24 | 0.53% | 1 : 189 | 98.42% |
15 | QQJJJ | full house | 24 | 0.53% | 1 : 189 | 97.89% | |
16 | TT | JJJTT | full house | 24 | 0.53% | 1 : 189 | 97.37% |
17 | 99 | JJJ99 | full house | 24 | 0.53% | 1 : 189 | 96.84% |
18 | 88 | JJJ88 | full house | 24 | 0.53% | 1 : 189 | 96.32% |
19 | 77 | JJJ77 | full house | 24 | 0.53% | 1 : 189 | 95.79% |
20 | 66 | JJJ66 | full house | 24 | 0.53% | 1 : 189 | 95.26% |
21 | 55 | JJJ55 | full house | 24 | 0.53% | 1 : 189 | 94.74% |
22 | 44 | JJJ44 | full house | 24 | 0.53% | 1 : 189 | 94.21% |
23 | 33 | JJJ33 | full house | 24 | 0.53% | 1 : 189 | 93.68% |
24 | 22 | JJJ22 | full house | 24 | 0.53% | 1 : 189 | 93.16% |
25 | AK | AKJJJ | three of a kind | 64 | 1.40% | 1 : 70.3 | 92.63% |
26 | AQ | AQJJJ | three of a kind | 64 | 1.40% | 1 : 70.3 | 91.23% |
27 | AT | AJJJT | three of a kind | 64 | 1.40% | 1 : 70.3 | 89.82% |
28 | A9 | AJJJ9 | three of a kind | 64 | 1.40% | 1 : 70.3 | 88.42% |
29 | A8 | AJJJ8 | three of a kind | 64 | 1.40% | 1 : 70.3 | 87.02% |
30 | A7 | AJJJ7 | three of a kind | 64 | 1.40% | 1 : 70.3 | 85.61% |
31 | A6 | AJJJ6 | three of a kind | 64 | 1.40% | 1 : 70.3 | 84.21% |
32 | A5 | AJJJ5 | three of a kind | 64 | 1.40% | 1 : 70.3 | 82.81% |
33 | A4 | AJJJ4 | three of a kind | 64 | 1.40% | 1 : 70.3 | 81.40% |
34 | A3 | AJJJ3 | three of a kind | 64 | 1.40% | 1 : 70.3 | 80.00% |
35 | A2 | AJJJ2 | three of a kind | 64 | 1.40% | 1 : 70.3 | 78.60% |
36 | KQ | KQJJJ | three of a kind | 64 | 1.40% | 1 : 70.3 | 77.19% |
37 | KT | KJJJT | three of a kind | 64 | 1.40% | 1 : 70.3 | 75.79% |
38 | K9 | KJJJ9 | three of a kind | 64 | 1.40% | 1 : 70.3 | 74.39% |
39 | K8 | KJJJ8 | three of a kind | 64 | 1.40% | 1 : 70.3 | 72.98% |
40 | K7 | KJJJ7 | three of a kind | 64 | 1.40% | 1 : 70.3 | 71.58% |
41 | K6 | KJJJ6 | three of a kind | 64 | 1.40% | 1 : 70.3 | 70.18% |
42 | K5 | KJJJ5 | three of a kind | 64 | 1.40% | 1 : 70.3 | 68.77% |
43 | K4 | KJJJ4 | three of a kind | 64 | 1.40% | 1 : 70.3 | 67.37% |
44 | K3 | KJJJ3 | three of a kind | 64 | 1.40% | 1 : 70.3 | 65.96% |
45 | K2 | KJJJ2 | three of a kind | 64 | 1.40% | 1 : 70.3 | 64.56% |
46 | QT | QJJJT | three of a kind | 64 | 1.40% | 1 : 70.3 | 63.16% |
47 | Q9 | QJJJ9 | three of a kind | 64 | 1.40% | 1 : 70.3 | 61.75% |
48 | Q8 | QJJJ8 | three of a kind | 64 | 1.40% | 1 : 70.3 | 60.35% |
49 | Q7 | QJJJ7 | three of a kind | 64 | 1.40% | 1 : 70.3 | 58.95% |
50 | Q6 | QJJJ6 | three of a kind | 64 | 1.40% | 1 : 70.3 | 57.54% |
51 | Q5 | QJJJ5 | three of a kind | 64 | 1.40% | 1 : 70.3 | 56.14% |
52 | Q4 | QJJJ4 | three of a kind | 64 | 1.40% | 1 : 70.3 | 54.74% |
53 | Q3 | QJJJ3 | three of a kind | 64 | 1.40% | 1 : 70.3 | 53.33% |
54 | Q2 | QJJJ2 | three of a kind | 64 | 1.40% | 1 : 70.3 | 51.93% |
55 | T9 | JJJT9 | three of a kind | 64 | 1.40% | 1 : 70.3 | 50.53% |
56 | T8 | JJJT8 | three of a kind | 64 | 1.40% | 1 : 70.3 | 49.12% |
57 | T7 | JJJT7 | three of a kind | 64 | 1.40% | 1 : 70.3 | 47.72% |
58 | T6 | JJJT6 | three of a kind | 64 | 1.40% | 1 : 70.3 | 46.32% |
59 | T5 | JJJT5 | three of a kind | 64 | 1.40% | 1 : 70.3 | 44.91% |
60 | T4 | JJJT4 | three of a kind | 64 | 1.40% | 1 : 70.3 | 43.51% |
61 | T3 | JJJT3 | three of a kind | 64 | 1.40% | 1 : 70.3 | 42.11% |
62 | T2 | JJJT2 | three of a kind | 64 | 1.40% | 1 : 70.3 | 40.70% |
63 | 98 | JJJ98 | three of a kind | 64 | 1.40% | 1 : 70.3 | 39.30% |
64 | 97 | JJJ97 | three of a kind | 64 | 1.40% | 1 : 70.3 | 37.89% |
65 | 96 | JJJ96 | three of a kind | 64 | 1.40% | 1 : 70.3 | 36.49% |
66 | 95 | JJJ95 | three of a kind | 64 | 1.40% | 1 : 70.3 | 35.09% |
67 | 94 | JJJ94 | three of a kind | 64 | 1.40% | 1 : 70.3 | 33.68% |
68 | 93 | JJJ93 | three of a kind | 64 | 1.40% | 1 : 70.3 | 32.28% |
69 | 92 | JJJ92 | three of a kind | 64 | 1.40% | 1 : 70.3 | 30.88% |
70 | 87 | JJJ87 | three of a kind | 64 | 1.40% | 1 : 70.3 | 29.47% |
71 | 86 | JJJ86 | three of a kind | 64 | 1.40% | 1 : 70.3 | 28.07% |
72 | 85 | JJJ85 | three of a kind | 64 | 1.40% | 1 : 70.3 | 26.67% |
73 | 84 | JJJ84 | three of a kind | 64 | 1.40% | 1 : 70.3 | 25.26% |
74 | 83 | JJJ83 | three of a kind | 64 | 1.40% | 1 : 70.3 | 23.86% |
75 | 82 | JJJ82 | three of a kind | 64 | 1.40% | 1 : 70.3 | 22.46% |
76 | 76 | JJJ76 | three of a kind | 64 | 1.40% | 1 : 70.3 | 21.05% |
77 | 75 | JJJ75 | three of a kind | 64 | 1.40% | 1 : 70.3 | 19.65% |
78 | 74 | JJJ74 | three of a kind | 64 | 1.40% | 1 : 70.3 | 18.25% |
79 | 73 | JJJ73 | three of a kind | 64 | 1.40% | 1 : 70.3 | 16.84% |
80 | 72 | JJJ72 | three of a kind | 64 | 1.40% | 1 : 70.3 | 15.44% |
81 | 65 | JJJ65 | three of a kind | 64 | 1.40% | 1 : 70.3 | 14.04% |
82 | 64 | JJJ64 | three of a kind | 64 | 1.40% | 1 : 70.3 | 12.63% |
83 | 63 | JJJ63 | three of a kind | 64 | 1.40% | 1 : 70.3 | 11.23% |
84 | 62 | JJJ62 | three of a kind | 64 | 1.40% | 1 : 70.3 | 9.82% |
85 | 54 | JJJ54 | three of a kind | 64 | 1.40% | 1 : 70.3 | 8.42% |
86 | 53 | JJJ53 | three of a kind | 64 | 1.40% | 1 : 70.3 | 7.02% |
87 | 52 | JJJ52 | three of a kind | 64 | 1.40% | 1 : 70.3 | 5.61% |
88 | 43 | JJJ43 | three of a kind | 64 | 1.40% | 1 : 70.3 | 4.21% |
89 | 42 | JJJ42 | three of a kind | 64 | 1.40% | 1 : 70.3 | 2.81% |
90 | 32 | JJJ32 | three of a kind | 64 | 1.40% | 1 : 70.3 | 1.40% |