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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 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 %



note: in the table below, a flush (or straight flush or royal flush) can by definition only occur if all five cards are of the same suit.
therefore, the "s" next to hole cards means that the hole cards are suited AND all three flop cards are of that suit, too.


ranking of all 90 distinct hole cards
hole cards hand category combinations probability odds equity
nuts A8 A8888 four of a kind 4 0.09% 1 : 1139 100.00%
2 K8 K8888 four of a kind 4 0.09% 1 : 1139 99.91%
3 Q8 Q8888 four of a kind 4 0.09% 1 : 1139 99.82%
4 J8 J8888 four of a kind 4 0.09% 1 : 1139 99.74%
5 T8 T8888 four of a kind 4 0.09% 1 : 1139 99.65%
6 98 98888 four of a kind 4 0.09% 1 : 1139 99.56%
7 87 88887 four of a kind 4 0.09% 1 : 1139 99.47%
8 86 88886 four of a kind 4 0.09% 1 : 1139 99.39%
9 85 88885 four of a kind 4 0.09% 1 : 1139 99.30%
10 84 88884 four of a kind 4 0.09% 1 : 1139 99.21%
11 83 88883 four of a kind 4 0.09% 1 : 1139 99.12%
12 82 88882 four of a kind 4 0.09% 1 : 1139 99.04%
 
13 AA AA888 full house 24 0.53% 1 : 189 98.95%
14 KK KK888 full house 24 0.53% 1 : 189 98.42%
15 QQ QQ888 full house 24 0.53% 1 : 189 97.89%
16 JJ JJ888 full house 24 0.53% 1 : 189 97.37%
17 TT TT888 full house 24 0.53% 1 : 189 96.84%
18 99 99888 full house 24 0.53% 1 : 189 96.32%
19 77 88877 full house 24 0.53% 1 : 189 95.79%
20 66 88866 full house 24 0.53% 1 : 189 95.26%
21 55 88855 full house 24 0.53% 1 : 189 94.74%
22 44 88844 full house 24 0.53% 1 : 189 94.21%
23 33 88833 full house 24 0.53% 1 : 189 93.68%
24 22 88822 full house 24 0.53% 1 : 189 93.16%
 
25 AK AK888 three of a kind 64 1.40% 1 : 70.3 92.63%
26 AQ AQ888 three of a kind 64 1.40% 1 : 70.3 91.23%
27 AJ AJ888 three of a kind 64 1.40% 1 : 70.3 89.82%
28 AT AT888 three of a kind 64 1.40% 1 : 70.3 88.42%
29 A9 A9888 three of a kind 64 1.40% 1 : 70.3 87.02%
30 A7 A8887 three of a kind 64 1.40% 1 : 70.3 85.61%
31 A6 A8886 three of a kind 64 1.40% 1 : 70.3 84.21%
32 A5 A8885 three of a kind 64 1.40% 1 : 70.3 82.81%
33 A4 A8884 three of a kind 64 1.40% 1 : 70.3 81.40%
34 A3 A8883 three of a kind 64 1.40% 1 : 70.3 80.00%
35 A2 A8882 three of a kind 64 1.40% 1 : 70.3 78.60%
36 KQ KQ888 three of a kind 64 1.40% 1 : 70.3 77.19%
37 KJ KJ888 three of a kind 64 1.40% 1 : 70.3 75.79%
38 KT KT888 three of a kind 64 1.40% 1 : 70.3 74.39%
39 K9 K9888 three of a kind 64 1.40% 1 : 70.3 72.98%
40 K7 K8887 three of a kind 64 1.40% 1 : 70.3 71.58%
41 K6 K8886 three of a kind 64 1.40% 1 : 70.3 70.18%
42 K5 K8885 three of a kind 64 1.40% 1 : 70.3 68.77%
43 K4 K8884 three of a kind 64 1.40% 1 : 70.3 67.37%
44 K3 K8883 three of a kind 64 1.40% 1 : 70.3 65.96%
45 K2 K8882 three of a kind 64 1.40% 1 : 70.3 64.56%
46 QJ QJ888 three of a kind 64 1.40% 1 : 70.3 63.16%
47 QT QT888 three of a kind 64 1.40% 1 : 70.3 61.75%
48 Q9 Q9888 three of a kind 64 1.40% 1 : 70.3 60.35%
49 Q7 Q8887 three of a kind 64 1.40% 1 : 70.3 58.95%
50 Q6 Q8886 three of a kind 64 1.40% 1 : 70.3 57.54%
51 Q5 Q8885 three of a kind 64 1.40% 1 : 70.3 56.14%
52 Q4 Q8884 three of a kind 64 1.40% 1 : 70.3 54.74%
53 Q3 Q8883 three of a kind 64 1.40% 1 : 70.3 53.33%
54 Q2 Q8882 three of a kind 64 1.40% 1 : 70.3 51.93%
55 JT JT888 three of a kind 64 1.40% 1 : 70.3 50.53%
56 J9 J9888 three of a kind 64 1.40% 1 : 70.3 49.12%
57 J7 J8887 three of a kind 64 1.40% 1 : 70.3 47.72%
58 J6 J8886 three of a kind 64 1.40% 1 : 70.3 46.32%
59 J5 J8885 three of a kind 64 1.40% 1 : 70.3 44.91%
60 J4 J8884 three of a kind 64 1.40% 1 : 70.3 43.51%
61 J3 J8883 three of a kind 64 1.40% 1 : 70.3 42.11%
62 J2 J8882 three of a kind 64 1.40% 1 : 70.3 40.70%
63 T9 T9888 three of a kind 64 1.40% 1 : 70.3 39.30%
64 T7 T8887 three of a kind 64 1.40% 1 : 70.3 37.89%
65 T6 T8886 three of a kind 64 1.40% 1 : 70.3 36.49%
66 T5 T8885 three of a kind 64 1.40% 1 : 70.3 35.09%
67 T4 T8884 three of a kind 64 1.40% 1 : 70.3 33.68%
68 T3 T8883 three of a kind 64 1.40% 1 : 70.3 32.28%
69 T2 T8882 three of a kind 64 1.40% 1 : 70.3 30.88%
70 97 98887 three of a kind 64 1.40% 1 : 70.3 29.47%
71 96 98886 three of a kind 64 1.40% 1 : 70.3 28.07%
72 95 98885 three of a kind 64 1.40% 1 : 70.3 26.67%
73 94 98884 three of a kind 64 1.40% 1 : 70.3 25.26%
74 93 98883 three of a kind 64 1.40% 1 : 70.3 23.86%
75 92 98882 three of a kind 64 1.40% 1 : 70.3 22.46%
76 76 88876 three of a kind 64 1.40% 1 : 70.3 21.05%
77 75 88875 three of a kind 64 1.40% 1 : 70.3 19.65%
78 74 88874 three of a kind 64 1.40% 1 : 70.3 18.25%
79 73 88873 three of a kind 64 1.40% 1 : 70.3 16.84%
80 72 88872 three of a kind 64 1.40% 1 : 70.3 15.44%
81 65 88865 three of a kind 64 1.40% 1 : 70.3 14.04%
82 64 88864 three of a kind 64 1.40% 1 : 70.3 12.63%
83 63 88863 three of a kind 64 1.40% 1 : 70.3 11.23%
84 62 88862 three of a kind 64 1.40% 1 : 70.3 9.82%
85 54 88854 three of a kind 64 1.40% 1 : 70.3 8.42%
86 53 88853 three of a kind 64 1.40% 1 : 70.3 7.02%
87 52 88852 three of a kind 64 1.40% 1 : 70.3 5.61%
88 43 88843 three of a kind 64 1.40% 1 : 70.3 4.21%
89 42 88842 three of a kind 64 1.40% 1 : 70.3 2.81%
90 32 88832 three of a kind 64 1.40% 1 : 70.3 1.40%