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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 A8888 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 AA AAA88 full house 24 0.10% 1 : 1043 99.98%
3 A8 AA888 full house 24 0.10% 1 : 1043 99.89%
 
4 K8 AK888 three of a kind 64 0.26% 1 : 390 99.79%
5 Q8 AQ888 three of a kind 64 0.26% 1 : 390 99.54%
6 J8 AJ888 three of a kind 64 0.26% 1 : 390 99.28%
7 T8 AT888 three of a kind 64 0.26% 1 : 390 99.03%
8 98 A9888 three of a kind 64 0.26% 1 : 390 98.77%
9 87 A8887 three of a kind 64 0.26% 1 : 390 98.51%
10 86 A8886 three of a kind 64 0.26% 1 : 390 98.26%
11 85 A8885 three of a kind 64 0.26% 1 : 390 98.00%
12 84 A8884 three of a kind 64 0.26% 1 : 390 97.75%
13 83 A8883 three of a kind 64 0.26% 1 : 390 97.49%
14 82 A8882 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AK AAK88 two pairs 144 0.57% 1 : 173 96.98%
16 AQ AAQ88 two pairs 144 0.57% 1 : 173 96.41%
17 AJ AAJ88 two pairs 144 0.57% 1 : 173 95.83%
18 AT AAT88 two pairs 144 0.57% 1 : 173 95.26%
19 A9 AA988 two pairs 144 0.57% 1 : 173 94.68%
20 A7 AA887 two pairs 144 0.57% 1 : 173 94.11%
21 A6 AA886 two pairs 144 0.57% 1 : 173 93.53%
22 A5 AA885 two pairs 144 0.57% 1 : 173 92.96%
23 A4 AA884 two pairs 144 0.57% 1 : 173 92.38%
24 A3 AA883 two pairs 144 0.57% 1 : 173 91.81%
25 A2 AA882 two pairs 144 0.57% 1 : 173 91.23%
26 KK AKK88 two pairs 144 0.57% 1 : 173 90.66%
27 QQ AQQ88 two pairs 144 0.57% 1 : 173 90.08%
28 JJ AJJ88 two pairs 144 0.57% 1 : 173 89.51%
29 TT ATT88 two pairs 144 0.57% 1 : 173 88.93%
30 99 A9988 two pairs 144 0.57% 1 : 173 88.36%
31 77 A8877 two pairs 144 0.57% 1 : 173 87.78%
32 66 A8866 two pairs 144 0.57% 1 : 173 87.21%
33 55 A8855 two pairs 144 0.57% 1 : 173 86.63%
34 44 A8844 two pairs 144 0.57% 1 : 173 86.06%
35 33 A8833 two pairs 144 0.57% 1 : 173 85.48%
36 22 A8822 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AKQ88 one pair 384 1.53% 1 : 64.2 84.33%
38 KJ AKJ88 one pair 384 1.53% 1 : 64.2 82.80%
39 KT AKT88 one pair 384 1.53% 1 : 64.2 81.26%
40 K9 AK988 one pair 384 1.53% 1 : 64.2 79.73%
41 K7 AK887 one pair 384 1.53% 1 : 64.2 78.20%
42 K6 AK886 one pair 384 1.53% 1 : 64.2 76.67%
43 K5 AK885 one pair 384 1.53% 1 : 64.2 75.13%
44 K4 AK884 one pair 384 1.53% 1 : 64.2 73.60%
45 K3 AK883 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AK882 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ AQJ88 one pair 384 1.53% 1 : 64.2 69.00%
48 QT AQT88 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 AQ988 one pair 384 1.53% 1 : 64.2 65.93%
50 Q7 AQ887 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 AQ886 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 AQ885 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 AQ884 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 AQ883 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 AQ882 one pair 384 1.53% 1 : 64.2 56.73%
56 JT AJT88 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 AJ988 one pair 384 1.53% 1 : 64.2 53.67%
58 J7 AJ887 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 AJ886 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 AJ885 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 AJ884 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 AJ883 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 AJ882 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 AT988 one pair 384 1.53% 1 : 64.2 42.93%
65 T7 AT887 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 AT886 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 AT885 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 AT884 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 AT883 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 AT882 one pair 384 1.53% 1 : 64.2 33.73%
71 97 A9887 one pair 384 1.53% 1 : 64.2 32.20%
72 96 A9886 one pair 384 1.53% 1 : 64.2 30.67%
73 95 A9885 one pair 384 1.53% 1 : 64.2 29.13%
74 94 A9884 one pair 384 1.53% 1 : 64.2 27.60%
75 93 A9883 one pair 384 1.53% 1 : 64.2 26.07%
76 92 A9882 one pair 384 1.53% 1 : 64.2 24.53%
77 76 A8876 one pair 384 1.53% 1 : 64.2 23.00%
78 75 A8875 one pair 384 1.53% 1 : 64.2 21.47%
79 74 A8874 one pair 384 1.53% 1 : 64.2 19.93%
80 73 A8873 one pair 384 1.53% 1 : 64.2 18.40%
81 72 A8872 one pair 384 1.53% 1 : 64.2 16.87%
82 65 A8865 one pair 384 1.53% 1 : 64.2 15.33%
83 64 A8864 one pair 384 1.53% 1 : 64.2 13.80%
84 63 A8863 one pair 384 1.53% 1 : 64.2 12.27%
85 62 A8862 one pair 384 1.53% 1 : 64.2 10.73%
86 54 A8854 one pair 384 1.53% 1 : 64.2 9.20%
87 53 A8853 one pair 384 1.53% 1 : 64.2 7.67%
88 52 A8852 one pair 384 1.53% 1 : 64.2 6.13%
89 43 A8843 one pair 384 1.53% 1 : 64.2 4.60%
90 42 A8842 one pair 384 1.53% 1 : 64.2 3.07%
91 32 A8832 one pair 384 1.53% 1 : 64.2 1.53%