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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 98888 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 99 99988 full house 24 0.10% 1 : 1043 99.98%
3 98 99888 full house 24 0.10% 1 : 1043 99.89%
 
4 A8 A9888 three of a kind 64 0.26% 1 : 390 99.79%
5 K8 K9888 three of a kind 64 0.26% 1 : 390 99.54%
6 Q8 Q9888 three of a kind 64 0.26% 1 : 390 99.28%
7 J8 J9888 three of a kind 64 0.26% 1 : 390 99.03%
8 T8 T9888 three of a kind 64 0.26% 1 : 390 98.77%
9 87 98887 three of a kind 64 0.26% 1 : 390 98.51%
10 86 98886 three of a kind 64 0.26% 1 : 390 98.26%
11 85 98885 three of a kind 64 0.26% 1 : 390 98.00%
12 84 98884 three of a kind 64 0.26% 1 : 390 97.75%
13 83 98883 three of a kind 64 0.26% 1 : 390 97.49%
14 82 98882 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA988 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK988 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ988 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ988 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT988 two pairs 144 0.57% 1 : 173 94.68%
20 A9 A9988 two pairs 144 0.57% 1 : 173 94.11%
21 K9 K9988 two pairs 144 0.57% 1 : 173 93.53%
22 Q9 Q9988 two pairs 144 0.57% 1 : 173 92.96%
23 J9 J9988 two pairs 144 0.57% 1 : 173 92.38%
24 T9 T9988 two pairs 144 0.57% 1 : 173 91.81%
25 97 99887 two pairs 144 0.57% 1 : 173 91.23%
26 96 99886 two pairs 144 0.57% 1 : 173 90.66%
27 95 99885 two pairs 144 0.57% 1 : 173 90.08%
28 94 99884 two pairs 144 0.57% 1 : 173 89.51%
29 93 99883 two pairs 144 0.57% 1 : 173 88.93%
30 92 99882 two pairs 144 0.57% 1 : 173 88.36%
31 77 98877 two pairs 144 0.57% 1 : 173 87.78%
32 66 98866 two pairs 144 0.57% 1 : 173 87.21%
33 55 98855 two pairs 144 0.57% 1 : 173 86.63%
34 44 98844 two pairs 144 0.57% 1 : 173 86.06%
35 33 98833 two pairs 144 0.57% 1 : 173 85.48%
36 22 98822 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK988 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ988 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ988 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT988 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 A9887 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 A9886 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 A9885 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A9884 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A9883 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A9882 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ988 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ988 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT988 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 K9887 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 K9886 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 K9885 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K9884 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K9883 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K9882 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ988 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT988 one pair 384 1.53% 1 : 64.2 53.67%
58 Q7 Q9887 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 Q9886 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 Q9885 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q9884 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q9883 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q9882 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT988 one pair 384 1.53% 1 : 64.2 42.93%
65 J7 J9887 one pair 384 1.53% 1 : 64.2 41.40%
66 J6 J9886 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 J9885 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J9884 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J9883 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J9882 one pair 384 1.53% 1 : 64.2 33.73%
71 T7 T9887 one pair 384 1.53% 1 : 64.2 32.20%
72 T6 T9886 one pair 384 1.53% 1 : 64.2 30.67%
73 T5 T9885 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T9884 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T9883 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T9882 one pair 384 1.53% 1 : 64.2 24.53%
77 76 98876 one pair 384 1.53% 1 : 64.2 23.00%
78 75 98875 one pair 384 1.53% 1 : 64.2 21.47%
79 74 98874 one pair 384 1.53% 1 : 64.2 19.93%
80 73 98873 one pair 384 1.53% 1 : 64.2 18.40%
81 72 98872 one pair 384 1.53% 1 : 64.2 16.87%
82 65 98865 one pair 384 1.53% 1 : 64.2 15.33%
83 64 98864 one pair 384 1.53% 1 : 64.2 13.80%
84 63 98863 one pair 384 1.53% 1 : 64.2 12.27%
85 62 98862 one pair 384 1.53% 1 : 64.2 10.73%
86 54 98854 one pair 384 1.53% 1 : 64.2 9.20%
87 53 98853 one pair 384 1.53% 1 : 64.2 7.67%
88 52 98852 one pair 384 1.53% 1 : 64.2 6.13%
89 43 98843 one pair 384 1.53% 1 : 64.2 4.60%
90 42 98842 one pair 384 1.53% 1 : 64.2 3.07%
91 32 98832 one pair 384 1.53% 1 : 64.2 1.53%