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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 K8888 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 KK KKK88 full house 24 0.10% 1 : 1043 99.98%
3 K8 KK888 full house 24 0.10% 1 : 1043 99.89%
 
4 A8 AK888 three of a kind 64 0.26% 1 : 390 99.79%
5 Q8 KQ888 three of a kind 64 0.26% 1 : 390 99.54%
6 J8 KJ888 three of a kind 64 0.26% 1 : 390 99.28%
7 T8 KT888 three of a kind 64 0.26% 1 : 390 99.03%
8 98 K9888 three of a kind 64 0.26% 1 : 390 98.77%
9 87 K8887 three of a kind 64 0.26% 1 : 390 98.51%
10 86 K8886 three of a kind 64 0.26% 1 : 390 98.26%
11 85 K8885 three of a kind 64 0.26% 1 : 390 98.00%
12 84 K8884 three of a kind 64 0.26% 1 : 390 97.75%
13 83 K8883 three of a kind 64 0.26% 1 : 390 97.49%
14 82 K8882 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAK88 two pairs 144 0.57% 1 : 173 96.98%
16 AK AKK88 two pairs 144 0.57% 1 : 173 96.41%
17 KQ KKQ88 two pairs 144 0.57% 1 : 173 95.83%
18 KJ KKJ88 two pairs 144 0.57% 1 : 173 95.26%
19 KT KKT88 two pairs 144 0.57% 1 : 173 94.68%
20 K9 KK988 two pairs 144 0.57% 1 : 173 94.11%
21 K7 KK887 two pairs 144 0.57% 1 : 173 93.53%
22 K6 KK886 two pairs 144 0.57% 1 : 173 92.96%
23 K5 KK885 two pairs 144 0.57% 1 : 173 92.38%
24 K4 KK884 two pairs 144 0.57% 1 : 173 91.81%
25 K3 KK883 two pairs 144 0.57% 1 : 173 91.23%
26 K2 KK882 two pairs 144 0.57% 1 : 173 90.66%
27 QQ KQQ88 two pairs 144 0.57% 1 : 173 90.08%
28 JJ KJJ88 two pairs 144 0.57% 1 : 173 89.51%
29 TT KTT88 two pairs 144 0.57% 1 : 173 88.93%
30 99 K9988 two pairs 144 0.57% 1 : 173 88.36%
31 77 K8877 two pairs 144 0.57% 1 : 173 87.78%
32 66 K8866 two pairs 144 0.57% 1 : 173 87.21%
33 55 K8855 two pairs 144 0.57% 1 : 173 86.63%
34 44 K8844 two pairs 144 0.57% 1 : 173 86.06%
35 33 K8833 two pairs 144 0.57% 1 : 173 85.48%
36 22 K8822 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKQ88 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AKJ88 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AKT88 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AK988 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AK887 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AK886 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AK885 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AK884 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AK883 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AK882 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ KQJ88 one pair 384 1.53% 1 : 64.2 69.00%
48 QT KQT88 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 KQ988 one pair 384 1.53% 1 : 64.2 65.93%
50 Q7 KQ887 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 KQ886 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 KQ885 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 KQ884 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 KQ883 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 KQ882 one pair 384 1.53% 1 : 64.2 56.73%
56 JT KJT88 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 KJ988 one pair 384 1.53% 1 : 64.2 53.67%
58 J7 KJ887 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 KJ886 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 KJ885 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 KJ884 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 KJ883 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 KJ882 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 KT988 one pair 384 1.53% 1 : 64.2 42.93%
65 T7 KT887 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 KT886 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 KT885 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 KT884 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 KT883 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 KT882 one pair 384 1.53% 1 : 64.2 33.73%
71 97 K9887 one pair 384 1.53% 1 : 64.2 32.20%
72 96 K9886 one pair 384 1.53% 1 : 64.2 30.67%
73 95 K9885 one pair 384 1.53% 1 : 64.2 29.13%
74 94 K9884 one pair 384 1.53% 1 : 64.2 27.60%
75 93 K9883 one pair 384 1.53% 1 : 64.2 26.07%
76 92 K9882 one pair 384 1.53% 1 : 64.2 24.53%
77 76 K8876 one pair 384 1.53% 1 : 64.2 23.00%
78 75 K8875 one pair 384 1.53% 1 : 64.2 21.47%
79 74 K8874 one pair 384 1.53% 1 : 64.2 19.93%
80 73 K8873 one pair 384 1.53% 1 : 64.2 18.40%
81 72 K8872 one pair 384 1.53% 1 : 64.2 16.87%
82 65 K8865 one pair 384 1.53% 1 : 64.2 15.33%
83 64 K8864 one pair 384 1.53% 1 : 64.2 13.80%
84 63 K8863 one pair 384 1.53% 1 : 64.2 12.27%
85 62 K8862 one pair 384 1.53% 1 : 64.2 10.73%
86 54 K8854 one pair 384 1.53% 1 : 64.2 9.20%
87 53 K8853 one pair 384 1.53% 1 : 64.2 7.67%
88 52 K8852 one pair 384 1.53% 1 : 64.2 6.13%
89 43 K8843 one pair 384 1.53% 1 : 64.2 4.60%
90 42 K8842 one pair 384 1.53% 1 : 64.2 3.07%
91 32 K8832 one pair 384 1.53% 1 : 64.2 1.53%