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 0 0 impossible impossible
full house 0 0 impossible impossible
flush 45 180 0.29% 1 : 344
straight 0 0 impossible impossible
three of a kind 3 192 0.31% 1 : 322
two pairs 3 432 0.70% 1 : 143
one pair 40 15,360 24.75% 1 : 3.04
high card 45 45,900 73.96% 2.84 : 1
total 136 62,064 100 %



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 136 distinct hole cards
hole cards hand category combinations probability odds equity
nuts AKs AK942 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ942 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ942 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT942 flush 4 0.01% 1 : 15515 99.98%
5 A8s A9842 flush 4 0.01% 1 : 15515 99.97%
6 A7s A9742 flush 4 0.01% 1 : 15515 99.97%
7 A6s A9642 flush 4 0.01% 1 : 15515 99.96%
8 A5s A9542 flush 4 0.01% 1 : 15515 99.95%
9 A3s A9432 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ942 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ942 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT942 flush 4 0.01% 1 : 15515 99.93%
13 K8s K9842 flush 4 0.01% 1 : 15515 99.92%
14 K7s K9742 flush 4 0.01% 1 : 15515 99.92%
15 K6s K9642 flush 4 0.01% 1 : 15515 99.91%
16 K5s K9542 flush 4 0.01% 1 : 15515 99.90%
17 K3s K9432 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ942 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT942 flush 4 0.01% 1 : 15515 99.88%
20 Q8s Q9842 flush 4 0.01% 1 : 15515 99.88%
21 Q7s Q9742 flush 4 0.01% 1 : 15515 99.87%
22 Q6s Q9642 flush 4 0.01% 1 : 15515 99.86%
23 Q5s Q9542 flush 4 0.01% 1 : 15515 99.86%
24 Q3s Q9432 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT942 flush 4 0.01% 1 : 15515 99.85%
26 J8s J9842 flush 4 0.01% 1 : 15515 99.84%
27 J7s J9742 flush 4 0.01% 1 : 15515 99.83%
28 J6s J9642 flush 4 0.01% 1 : 15515 99.83%
29 J5s J9542 flush 4 0.01% 1 : 15515 99.82%
30 J3s J9432 flush 4 0.01% 1 : 15515 99.81%
31 T8s T9842 flush 4 0.01% 1 : 15515 99.81%
32 T7s T9742 flush 4 0.01% 1 : 15515 99.80%
33 T6s T9642 flush 4 0.01% 1 : 15515 99.79%
34 T5s T9542 flush 4 0.01% 1 : 15515 99.79%
35 T3s T9432 flush 4 0.01% 1 : 15515 99.78%
36 87s 98742 flush 4 0.01% 1 : 15515 99.77%
37 86s 98642 flush 4 0.01% 1 : 15515 99.77%
38 85s 98542 flush 4 0.01% 1 : 15515 99.76%
39 83s 98432 flush 4 0.01% 1 : 15515 99.76%
40 76s 97642 flush 4 0.01% 1 : 15515 99.75%
41 75s 97542 flush 4 0.01% 1 : 15515 99.74%
42 73s 97432 flush 4 0.01% 1 : 15515 99.74%
43 65s 96542 flush 4 0.01% 1 : 15515 99.73%
44 63s 96432 flush 4 0.01% 1 : 15515 99.72%
45 53s 95432 flush 4 0.01% 1 : 15515 99.72%
 
46 99 99942 three of a kind 64 0.10% 1 : 969 99.71%
47 44 94442 three of a kind 64 0.10% 1 : 969 99.61%
48 22 94222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 94 99442 two pairs 144 0.23% 1 : 430 99.40%
50 92 99422 two pairs 144 0.23% 1 : 430 99.17%
51 42 94422 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA942 one pair 384 0.62% 1 : 161 98.70%
53 KK KK942 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ942 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ942 one pair 384 0.62% 1 : 161 96.85%
56 TT TT942 one pair 384 0.62% 1 : 161 96.23%
57 A9 A9942 one pair 384 0.62% 1 : 161 95.61%
58 K9 K9942 one pair 384 0.62% 1 : 161 94.99%
59 Q9 Q9942 one pair 384 0.62% 1 : 161 94.37%
60 J9 J9942 one pair 384 0.62% 1 : 161 93.75%
61 T9 T9942 one pair 384 0.62% 1 : 161 93.14%
62 98 99842 one pair 384 0.62% 1 : 161 92.52%
63 97 99742 one pair 384 0.62% 1 : 161 91.90%
64 96 99642 one pair 384 0.62% 1 : 161 91.28%
65 95 99542 one pair 384 0.62% 1 : 161 90.66%
66 93 99432 one pair 384 0.62% 1 : 161 90.04%
67 88 98842 one pair 384 0.62% 1 : 161 89.42%
68 77 97742 one pair 384 0.62% 1 : 161 88.81%
69 66 96642 one pair 384 0.62% 1 : 161 88.19%
70 55 95542 one pair 384 0.62% 1 : 161 87.57%
71 A4 A9442 one pair 384 0.62% 1 : 161 86.95%
72 K4 K9442 one pair 384 0.62% 1 : 161 86.33%
73 Q4 Q9442 one pair 384 0.62% 1 : 161 85.71%
74 J4 J9442 one pair 384 0.62% 1 : 161 85.09%
75 T4 T9442 one pair 384 0.62% 1 : 161 84.47%
76 84 98442 one pair 384 0.62% 1 : 161 83.86%
77 74 97442 one pair 384 0.62% 1 : 161 83.24%
78 64 96442 one pair 384 0.62% 1 : 161 82.62%
79 54 95442 one pair 384 0.62% 1 : 161 82.00%
80 43 94432 one pair 384 0.62% 1 : 161 81.38%
81 33 94332 one pair 384 0.62% 1 : 161 80.76%
82 A2 A9422 one pair 384 0.62% 1 : 161 80.14%
83 K2 K9422 one pair 384 0.62% 1 : 161 79.52%
84 Q2 Q9422 one pair 384 0.62% 1 : 161 78.91%
85 J2 J9422 one pair 384 0.62% 1 : 161 78.29%
86 T2 T9422 one pair 384 0.62% 1 : 161 77.67%
87 82 98422 one pair 384 0.62% 1 : 161 77.05%
88 72 97422 one pair 384 0.62% 1 : 161 76.43%
89 62 96422 one pair 384 0.62% 1 : 161 75.81%
90 52 95422 one pair 384 0.62% 1 : 161 75.19%
91 32 94322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK942 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ942 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ942 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT942 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 A9842 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 A9742 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 A9642 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 A9542 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 A9432 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ942 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ942 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT942 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 K9842 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 K9742 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 K9642 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 K9542 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 K9432 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ942 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT942 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 Q9842 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 Q9742 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 Q9642 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q5 Q9542 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 Q9432 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT942 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 J9842 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 J9742 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 J9642 high card 1,020 1.64% 1 : 59.8 29.58%
120 J5 J9542 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 J9432 high card 1,020 1.64% 1 : 59.8 26.30%
122 T8 T9842 high card 1,020 1.64% 1 : 59.8 24.65%
123 T7 T9742 high card 1,020 1.64% 1 : 59.8 23.01%
124 T6 T9642 high card 1,020 1.64% 1 : 59.8 21.37%
125 T5 T9542 high card 1,020 1.64% 1 : 59.8 19.72%
126 T3 T9432 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 98742 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 98642 high card 1,020 1.64% 1 : 59.8 14.79%
129 85 98542 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 98432 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 97642 high card 1,020 1.64% 1 : 59.8 9.86%
132 75 97542 high card 1,020 1.64% 1 : 59.8 8.22%
133 73 97432 high card 1,020 1.64% 1 : 59.8 6.57%
134 65 96542 high card 1,020 1.64% 1 : 59.8 4.93%
135 63 96432 high card 1,020 1.64% 1 : 59.8 3.29%
136 53 95432 high card 1,020 1.64% 1 : 59.8 1.64%