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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 99 99992 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 92 99922 full house 24 0.10% 1 : 1043 99.98%
3 22 99222 full house 24 0.10% 1 : 1043 99.89%
 
4 A9 A9992 three of a kind 64 0.26% 1 : 390 99.79%
5 K9 K9992 three of a kind 64 0.26% 1 : 390 99.54%
6 Q9 Q9992 three of a kind 64 0.26% 1 : 390 99.28%
7 J9 J9992 three of a kind 64 0.26% 1 : 390 99.03%
8 T9 T9992 three of a kind 64 0.26% 1 : 390 98.77%
9 98 99982 three of a kind 64 0.26% 1 : 390 98.51%
10 97 99972 three of a kind 64 0.26% 1 : 390 98.26%
11 96 99962 three of a kind 64 0.26% 1 : 390 98.00%
12 95 99952 three of a kind 64 0.26% 1 : 390 97.75%
13 94 99942 three of a kind 64 0.26% 1 : 390 97.49%
14 93 99932 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA992 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK992 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ992 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ992 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT992 two pairs 144 0.57% 1 : 173 94.68%
20 88 99882 two pairs 144 0.57% 1 : 173 94.11%
21 77 99772 two pairs 144 0.57% 1 : 173 93.53%
22 66 99662 two pairs 144 0.57% 1 : 173 92.96%
23 55 99552 two pairs 144 0.57% 1 : 173 92.38%
24 44 99442 two pairs 144 0.57% 1 : 173 91.81%
25 33 99332 two pairs 144 0.57% 1 : 173 91.23%
26 A2 A9922 two pairs 144 0.57% 1 : 173 90.66%
27 K2 K9922 two pairs 144 0.57% 1 : 173 90.08%
28 Q2 Q9922 two pairs 144 0.57% 1 : 173 89.51%
29 J2 J9922 two pairs 144 0.57% 1 : 173 88.93%
30 T2 T9922 two pairs 144 0.57% 1 : 173 88.36%
31 82 99822 two pairs 144 0.57% 1 : 173 87.78%
32 72 99722 two pairs 144 0.57% 1 : 173 87.21%
33 62 99622 two pairs 144 0.57% 1 : 173 86.63%
34 52 99522 two pairs 144 0.57% 1 : 173 86.06%
35 42 99422 two pairs 144 0.57% 1 : 173 85.48%
36 32 99322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK992 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ992 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ992 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT992 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 A9982 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A9972 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A9962 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A9952 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 A9942 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 A9932 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ992 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ992 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT992 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 K9982 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K9972 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K9962 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K9952 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 K9942 one pair 384 1.53% 1 : 64.2 58.27%
55 K3 K9932 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ992 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT992 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 Q9982 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q9972 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q9962 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q9952 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 Q9942 one pair 384 1.53% 1 : 64.2 46.00%
63 Q3 Q9932 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT992 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 J9982 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J9972 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J9962 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J9952 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 J9942 one pair 384 1.53% 1 : 64.2 35.27%
70 J3 J9932 one pair 384 1.53% 1 : 64.2 33.73%
71 T8 T9982 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T9972 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T9962 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T9952 one pair 384 1.53% 1 : 64.2 27.60%
75 T4 T9942 one pair 384 1.53% 1 : 64.2 26.07%
76 T3 T9932 one pair 384 1.53% 1 : 64.2 24.53%
77 87 99872 one pair 384 1.53% 1 : 64.2 23.00%
78 86 99862 one pair 384 1.53% 1 : 64.2 21.47%
79 85 99852 one pair 384 1.53% 1 : 64.2 19.93%
80 84 99842 one pair 384 1.53% 1 : 64.2 18.40%
81 83 99832 one pair 384 1.53% 1 : 64.2 16.87%
82 76 99762 one pair 384 1.53% 1 : 64.2 15.33%
83 75 99752 one pair 384 1.53% 1 : 64.2 13.80%
84 74 99742 one pair 384 1.53% 1 : 64.2 12.27%
85 73 99732 one pair 384 1.53% 1 : 64.2 10.73%
86 65 99652 one pair 384 1.53% 1 : 64.2 9.20%
87 64 99642 one pair 384 1.53% 1 : 64.2 7.67%
88 63 99632 one pair 384 1.53% 1 : 64.2 6.13%
89 54 99542 one pair 384 1.53% 1 : 64.2 4.60%
90 53 99532 one pair 384 1.53% 1 : 64.2 3.07%
91 43 99432 one pair 384 1.53% 1 : 64.2 1.53%