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 Q8888 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 QQ QQQ88 full house 24 0.10% 1 : 1043 99.98%
3 Q8 QQ888 full house 24 0.10% 1 : 1043 99.89%
 
4 A8 AQ888 three of a kind 64 0.26% 1 : 390 99.79%
5 K8 KQ888 three of a kind 64 0.26% 1 : 390 99.54%
6 J8 QJ888 three of a kind 64 0.26% 1 : 390 99.28%
7 T8 QT888 three of a kind 64 0.26% 1 : 390 99.03%
8 98 Q9888 three of a kind 64 0.26% 1 : 390 98.77%
9 87 Q8887 three of a kind 64 0.26% 1 : 390 98.51%
10 86 Q8886 three of a kind 64 0.26% 1 : 390 98.26%
11 85 Q8885 three of a kind 64 0.26% 1 : 390 98.00%
12 84 Q8884 three of a kind 64 0.26% 1 : 390 97.75%
13 83 Q8883 three of a kind 64 0.26% 1 : 390 97.49%
14 82 Q8882 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQ88 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQ88 two pairs 144 0.57% 1 : 173 96.41%
17 AQ AQQ88 two pairs 144 0.57% 1 : 173 95.83%
18 KQ KQQ88 two pairs 144 0.57% 1 : 173 95.26%
19 QJ QQJ88 two pairs 144 0.57% 1 : 173 94.68%
20 QT QQT88 two pairs 144 0.57% 1 : 173 94.11%
21 Q9 QQ988 two pairs 144 0.57% 1 : 173 93.53%
22 Q7 QQ887 two pairs 144 0.57% 1 : 173 92.96%
23 Q6 QQ886 two pairs 144 0.57% 1 : 173 92.38%
24 Q5 QQ885 two pairs 144 0.57% 1 : 173 91.81%
25 Q4 QQ884 two pairs 144 0.57% 1 : 173 91.23%
26 Q3 QQ883 two pairs 144 0.57% 1 : 173 90.66%
27 Q2 QQ882 two pairs 144 0.57% 1 : 173 90.08%
28 JJ QJJ88 two pairs 144 0.57% 1 : 173 89.51%
29 TT QTT88 two pairs 144 0.57% 1 : 173 88.93%
30 99 Q9988 two pairs 144 0.57% 1 : 173 88.36%
31 77 Q8877 two pairs 144 0.57% 1 : 173 87.78%
32 66 Q8866 two pairs 144 0.57% 1 : 173 87.21%
33 55 Q8855 two pairs 144 0.57% 1 : 173 86.63%
34 44 Q8844 two pairs 144 0.57% 1 : 173 86.06%
35 33 Q8833 two pairs 144 0.57% 1 : 173 85.48%
36 22 Q8822 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQ88 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AQJ88 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AQT88 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AQ988 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AQ887 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AQ886 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AQ885 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AQ884 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AQ883 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AQ882 one pair 384 1.53% 1 : 64.2 70.53%
47 KJ KQJ88 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KQT88 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KQ988 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 KQ887 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KQ886 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KQ885 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KQ884 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KQ883 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KQ882 one pair 384 1.53% 1 : 64.2 56.73%
56 JT QJT88 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 QJ988 one pair 384 1.53% 1 : 64.2 53.67%
58 J7 QJ887 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 QJ886 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 QJ885 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 QJ884 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 QJ883 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 QJ882 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 QT988 one pair 384 1.53% 1 : 64.2 42.93%
65 T7 QT887 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 QT886 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 QT885 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 QT884 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 QT883 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 QT882 one pair 384 1.53% 1 : 64.2 33.73%
71 97 Q9887 one pair 384 1.53% 1 : 64.2 32.20%
72 96 Q9886 one pair 384 1.53% 1 : 64.2 30.67%
73 95 Q9885 one pair 384 1.53% 1 : 64.2 29.13%
74 94 Q9884 one pair 384 1.53% 1 : 64.2 27.60%
75 93 Q9883 one pair 384 1.53% 1 : 64.2 26.07%
76 92 Q9882 one pair 384 1.53% 1 : 64.2 24.53%
77 76 Q8876 one pair 384 1.53% 1 : 64.2 23.00%
78 75 Q8875 one pair 384 1.53% 1 : 64.2 21.47%
79 74 Q8874 one pair 384 1.53% 1 : 64.2 19.93%
80 73 Q8873 one pair 384 1.53% 1 : 64.2 18.40%
81 72 Q8872 one pair 384 1.53% 1 : 64.2 16.87%
82 65 Q8865 one pair 384 1.53% 1 : 64.2 15.33%
83 64 Q8864 one pair 384 1.53% 1 : 64.2 13.80%
84 63 Q8863 one pair 384 1.53% 1 : 64.2 12.27%
85 62 Q8862 one pair 384 1.53% 1 : 64.2 10.73%
86 54 Q8854 one pair 384 1.53% 1 : 64.2 9.20%
87 53 Q8853 one pair 384 1.53% 1 : 64.2 7.67%
88 52 Q8852 one pair 384 1.53% 1 : 64.2 6.13%
89 43 Q8843 one pair 384 1.53% 1 : 64.2 4.60%
90 42 Q8842 one pair 384 1.53% 1 : 64.2 3.07%
91 32 Q8832 one pair 384 1.53% 1 : 64.2 1.53%