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 99998 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 98 99988 full house 24 0.10% 1 : 1043 99.98%
3 88 99888 full house 24 0.10% 1 : 1043 99.89%
 
4 A9 A9998 three of a kind 64 0.26% 1 : 390 99.79%
5 K9 K9998 three of a kind 64 0.26% 1 : 390 99.54%
6 Q9 Q9998 three of a kind 64 0.26% 1 : 390 99.28%
7 J9 J9998 three of a kind 64 0.26% 1 : 390 99.03%
8 T9 T9998 three of a kind 64 0.26% 1 : 390 98.77%
9 97 99987 three of a kind 64 0.26% 1 : 390 98.51%
10 96 99986 three of a kind 64 0.26% 1 : 390 98.26%
11 95 99985 three of a kind 64 0.26% 1 : 390 98.00%
12 94 99984 three of a kind 64 0.26% 1 : 390 97.75%
13 93 99983 three of a kind 64 0.26% 1 : 390 97.49%
14 92 99982 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA998 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK998 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ998 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ998 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT998 two pairs 144 0.57% 1 : 173 94.68%
20 A8 A9988 two pairs 144 0.57% 1 : 173 94.11%
21 K8 K9988 two pairs 144 0.57% 1 : 173 93.53%
22 Q8 Q9988 two pairs 144 0.57% 1 : 173 92.96%
23 J8 J9988 two pairs 144 0.57% 1 : 173 92.38%
24 T8 T9988 two pairs 144 0.57% 1 : 173 91.81%
25 87 99887 two pairs 144 0.57% 1 : 173 91.23%
26 86 99886 two pairs 144 0.57% 1 : 173 90.66%
27 85 99885 two pairs 144 0.57% 1 : 173 90.08%
28 84 99884 two pairs 144 0.57% 1 : 173 89.51%
29 83 99883 two pairs 144 0.57% 1 : 173 88.93%
30 82 99882 two pairs 144 0.57% 1 : 173 88.36%
31 77 99877 two pairs 144 0.57% 1 : 173 87.78%
32 66 99866 two pairs 144 0.57% 1 : 173 87.21%
33 55 99855 two pairs 144 0.57% 1 : 173 86.63%
34 44 99844 two pairs 144 0.57% 1 : 173 86.06%
35 33 99833 two pairs 144 0.57% 1 : 173 85.48%
36 22 99822 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK998 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ998 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ998 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT998 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 A9987 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 A9986 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 A9985 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A9984 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A9983 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A9982 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ998 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ998 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT998 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 K9987 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 K9986 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 K9985 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K9984 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K9983 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K9982 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ998 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT998 one pair 384 1.53% 1 : 64.2 53.67%
58 Q7 Q9987 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 Q9986 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 Q9985 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q9984 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q9983 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q9982 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT998 one pair 384 1.53% 1 : 64.2 42.93%
65 J7 J9987 one pair 384 1.53% 1 : 64.2 41.40%
66 J6 J9986 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 J9985 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J9984 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J9983 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J9982 one pair 384 1.53% 1 : 64.2 33.73%
71 T7 T9987 one pair 384 1.53% 1 : 64.2 32.20%
72 T6 T9986 one pair 384 1.53% 1 : 64.2 30.67%
73 T5 T9985 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T9984 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T9983 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T9982 one pair 384 1.53% 1 : 64.2 24.53%
77 76 99876 one pair 384 1.53% 1 : 64.2 23.00%
78 75 99875 one pair 384 1.53% 1 : 64.2 21.47%
79 74 99874 one pair 384 1.53% 1 : 64.2 19.93%
80 73 99873 one pair 384 1.53% 1 : 64.2 18.40%
81 72 99872 one pair 384 1.53% 1 : 64.2 16.87%
82 65 99865 one pair 384 1.53% 1 : 64.2 15.33%
83 64 99864 one pair 384 1.53% 1 : 64.2 13.80%
84 63 99863 one pair 384 1.53% 1 : 64.2 12.27%
85 62 99862 one pair 384 1.53% 1 : 64.2 10.73%
86 54 99854 one pair 384 1.53% 1 : 64.2 9.20%
87 53 99853 one pair 384 1.53% 1 : 64.2 7.67%
88 52 99852 one pair 384 1.53% 1 : 64.2 6.13%
89 43 99843 one pair 384 1.53% 1 : 64.2 4.60%
90 42 99842 one pair 384 1.53% 1 : 64.2 3.07%
91 32 99832 one pair 384 1.53% 1 : 64.2 1.53%