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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 T8888 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 TT TTT88 full house 24 0.10% 1 : 1043 99.98%
3 T8 TT888 full house 24 0.10% 1 : 1043 99.89%
 
4 A8 AT888 three of a kind 64 0.26% 1 : 390 99.79%
5 K8 KT888 three of a kind 64 0.26% 1 : 390 99.54%
6 Q8 QT888 three of a kind 64 0.26% 1 : 390 99.28%
7 J8 JT888 three of a kind 64 0.26% 1 : 390 99.03%
8 98 T9888 three of a kind 64 0.26% 1 : 390 98.77%
9 87 T8887 three of a kind 64 0.26% 1 : 390 98.51%
10 86 T8886 three of a kind 64 0.26% 1 : 390 98.26%
11 85 T8885 three of a kind 64 0.26% 1 : 390 98.00%
12 84 T8884 three of a kind 64 0.26% 1 : 390 97.75%
13 83 T8883 three of a kind 64 0.26% 1 : 390 97.49%
14 82 T8882 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAT88 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKT88 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQT88 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJT88 two pairs 144 0.57% 1 : 173 95.26%
19 AT ATT88 two pairs 144 0.57% 1 : 173 94.68%
20 KT KTT88 two pairs 144 0.57% 1 : 173 94.11%
21 QT QTT88 two pairs 144 0.57% 1 : 173 93.53%
22 JT JTT88 two pairs 144 0.57% 1 : 173 92.96%
23 T9 TT988 two pairs 144 0.57% 1 : 173 92.38%
24 T7 TT887 two pairs 144 0.57% 1 : 173 91.81%
25 T6 TT886 two pairs 144 0.57% 1 : 173 91.23%
26 T5 TT885 two pairs 144 0.57% 1 : 173 90.66%
27 T4 TT884 two pairs 144 0.57% 1 : 173 90.08%
28 T3 TT883 two pairs 144 0.57% 1 : 173 89.51%
29 T2 TT882 two pairs 144 0.57% 1 : 173 88.93%
30 99 T9988 two pairs 144 0.57% 1 : 173 88.36%
31 77 T8877 two pairs 144 0.57% 1 : 173 87.78%
32 66 T8866 two pairs 144 0.57% 1 : 173 87.21%
33 55 T8855 two pairs 144 0.57% 1 : 173 86.63%
34 44 T8844 two pairs 144 0.57% 1 : 173 86.06%
35 33 T8833 two pairs 144 0.57% 1 : 173 85.48%
36 22 T8822 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKT88 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQT88 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJT88 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AT988 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AT887 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AT886 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AT885 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AT884 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AT883 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AT882 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQT88 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJT88 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KT988 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 KT887 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KT886 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KT885 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KT884 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KT883 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KT882 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJT88 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QT988 one pair 384 1.53% 1 : 64.2 53.67%
58 Q7 QT887 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 QT886 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 QT885 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QT884 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QT883 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QT882 one pair 384 1.53% 1 : 64.2 44.47%
64 J9 JT988 one pair 384 1.53% 1 : 64.2 42.93%
65 J7 JT887 one pair 384 1.53% 1 : 64.2 41.40%
66 J6 JT886 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 JT885 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 JT884 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 JT883 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 JT882 one pair 384 1.53% 1 : 64.2 33.73%
71 97 T9887 one pair 384 1.53% 1 : 64.2 32.20%
72 96 T9886 one pair 384 1.53% 1 : 64.2 30.67%
73 95 T9885 one pair 384 1.53% 1 : 64.2 29.13%
74 94 T9884 one pair 384 1.53% 1 : 64.2 27.60%
75 93 T9883 one pair 384 1.53% 1 : 64.2 26.07%
76 92 T9882 one pair 384 1.53% 1 : 64.2 24.53%
77 76 T8876 one pair 384 1.53% 1 : 64.2 23.00%
78 75 T8875 one pair 384 1.53% 1 : 64.2 21.47%
79 74 T8874 one pair 384 1.53% 1 : 64.2 19.93%
80 73 T8873 one pair 384 1.53% 1 : 64.2 18.40%
81 72 T8872 one pair 384 1.53% 1 : 64.2 16.87%
82 65 T8865 one pair 384 1.53% 1 : 64.2 15.33%
83 64 T8864 one pair 384 1.53% 1 : 64.2 13.80%
84 63 T8863 one pair 384 1.53% 1 : 64.2 12.27%
85 62 T8862 one pair 384 1.53% 1 : 64.2 10.73%
86 54 T8854 one pair 384 1.53% 1 : 64.2 9.20%
87 53 T8853 one pair 384 1.53% 1 : 64.2 7.67%
88 52 T8852 one pair 384 1.53% 1 : 64.2 6.13%
89 43 T8843 one pair 384 1.53% 1 : 64.2 4.60%
90 42 T8842 one pair 384 1.53% 1 : 64.2 3.07%
91 32 T8832 one pair 384 1.53% 1 : 64.2 1.53%