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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 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 %



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 91 distinct hole cards
hole cards hand category combinations probability odds equity
nuts 88 J8888 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 JJ JJJ88 full house 24 0.10% 1 : 1043 99.98%
3 J8 JJ888 full house 24 0.10% 1 : 1043 99.89%
 
4 A8 AJ888 three of a kind 64 0.26% 1 : 390 99.79%
5 K8 KJ888 three of a kind 64 0.26% 1 : 390 99.54%
6 Q8 QJ888 three of a kind 64 0.26% 1 : 390 99.28%
7 T8 JT888 three of a kind 64 0.26% 1 : 390 99.03%
8 98 J9888 three of a kind 64 0.26% 1 : 390 98.77%
9 87 J8887 three of a kind 64 0.26% 1 : 390 98.51%
10 86 J8886 three of a kind 64 0.26% 1 : 390 98.26%
11 85 J8885 three of a kind 64 0.26% 1 : 390 98.00%
12 84 J8884 three of a kind 64 0.26% 1 : 390 97.75%
13 83 J8883 three of a kind 64 0.26% 1 : 390 97.49%
14 82 J8882 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAJ88 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKJ88 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQJ88 two pairs 144 0.57% 1 : 173 95.83%
18 AJ AJJ88 two pairs 144 0.57% 1 : 173 95.26%
19 KJ KJJ88 two pairs 144 0.57% 1 : 173 94.68%
20 QJ QJJ88 two pairs 144 0.57% 1 : 173 94.11%
21 JT JJT88 two pairs 144 0.57% 1 : 173 93.53%
22 J9 JJ988 two pairs 144 0.57% 1 : 173 92.96%
23 J7 JJ887 two pairs 144 0.57% 1 : 173 92.38%
24 J6 JJ886 two pairs 144 0.57% 1 : 173 91.81%
25 J5 JJ885 two pairs 144 0.57% 1 : 173 91.23%
26 J4 JJ884 two pairs 144 0.57% 1 : 173 90.66%
27 J3 JJ883 two pairs 144 0.57% 1 : 173 90.08%
28 J2 JJ882 two pairs 144 0.57% 1 : 173 89.51%
29 TT JTT88 two pairs 144 0.57% 1 : 173 88.93%
30 99 J9988 two pairs 144 0.57% 1 : 173 88.36%
31 77 J8877 two pairs 144 0.57% 1 : 173 87.78%
32 66 J8866 two pairs 144 0.57% 1 : 173 87.21%
33 55 J8855 two pairs 144 0.57% 1 : 173 86.63%
34 44 J8844 two pairs 144 0.57% 1 : 173 86.06%
35 33 J8833 two pairs 144 0.57% 1 : 173 85.48%
36 22 J8822 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKJ88 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQJ88 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AJT88 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AJ988 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AJ887 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AJ886 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AJ885 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AJ884 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AJ883 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AJ882 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQJ88 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KJT88 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KJ988 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 KJ887 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KJ886 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KJ885 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KJ884 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KJ883 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KJ882 one pair 384 1.53% 1 : 64.2 56.73%
56 QT QJT88 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QJ988 one pair 384 1.53% 1 : 64.2 53.67%
58 Q7 QJ887 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 QJ886 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 QJ885 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QJ884 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QJ883 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QJ882 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 JT988 one pair 384 1.53% 1 : 64.2 42.93%
65 T7 JT887 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 JT886 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 JT885 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 JT884 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 JT883 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 JT882 one pair 384 1.53% 1 : 64.2 33.73%
71 97 J9887 one pair 384 1.53% 1 : 64.2 32.20%
72 96 J9886 one pair 384 1.53% 1 : 64.2 30.67%
73 95 J9885 one pair 384 1.53% 1 : 64.2 29.13%
74 94 J9884 one pair 384 1.53% 1 : 64.2 27.60%
75 93 J9883 one pair 384 1.53% 1 : 64.2 26.07%
76 92 J9882 one pair 384 1.53% 1 : 64.2 24.53%
77 76 J8876 one pair 384 1.53% 1 : 64.2 23.00%
78 75 J8875 one pair 384 1.53% 1 : 64.2 21.47%
79 74 J8874 one pair 384 1.53% 1 : 64.2 19.93%
80 73 J8873 one pair 384 1.53% 1 : 64.2 18.40%
81 72 J8872 one pair 384 1.53% 1 : 64.2 16.87%
82 65 J8865 one pair 384 1.53% 1 : 64.2 15.33%
83 64 J8864 one pair 384 1.53% 1 : 64.2 13.80%
84 63 J8863 one pair 384 1.53% 1 : 64.2 12.27%
85 62 J8862 one pair 384 1.53% 1 : 64.2 10.73%
86 54 J8854 one pair 384 1.53% 1 : 64.2 9.20%
87 53 J8853 one pair 384 1.53% 1 : 64.2 7.67%
88 52 J8852 one pair 384 1.53% 1 : 64.2 6.13%
89 43 J8843 one pair 384 1.53% 1 : 64.2 4.60%
90 42 J8842 one pair 384 1.53% 1 : 64.2 3.07%
91 32 J8832 one pair 384 1.53% 1 : 64.2 1.53%