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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 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 AKQ92 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ92 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT92 flush 4 0.01% 1 : 15515 99.99%
4 A8s AQ982 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQ972 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQ962 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQ952 flush 4 0.01% 1 : 15515 99.96%
8 A4s AQ942 flush 4 0.01% 1 : 15515 99.95%
9 A3s AQ932 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ92 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT92 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQ982 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQ972 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQ962 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQ952 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQ942 flush 4 0.01% 1 : 15515 99.90%
17 K3s KQ932 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT92 flush 4 0.01% 1 : 15515 99.89%
19 J8s QJ982 flush 4 0.01% 1 : 15515 99.88%
20 J7s QJ972 flush 4 0.01% 1 : 15515 99.88%
21 J6s QJ962 flush 4 0.01% 1 : 15515 99.87%
22 J5s QJ952 flush 4 0.01% 1 : 15515 99.86%
23 J4s QJ942 flush 4 0.01% 1 : 15515 99.86%
24 J3s QJ932 flush 4 0.01% 1 : 15515 99.85%
25 T8s QT982 flush 4 0.01% 1 : 15515 99.85%
26 T7s QT972 flush 4 0.01% 1 : 15515 99.84%
27 T6s QT962 flush 4 0.01% 1 : 15515 99.83%
28 T5s QT952 flush 4 0.01% 1 : 15515 99.83%
29 T4s QT942 flush 4 0.01% 1 : 15515 99.82%
30 T3s QT932 flush 4 0.01% 1 : 15515 99.81%
31 87s Q9872 flush 4 0.01% 1 : 15515 99.81%
32 86s Q9862 flush 4 0.01% 1 : 15515 99.80%
33 85s Q9852 flush 4 0.01% 1 : 15515 99.79%
34 84s Q9842 flush 4 0.01% 1 : 15515 99.79%
35 83s Q9832 flush 4 0.01% 1 : 15515 99.78%
36 76s Q9762 flush 4 0.01% 1 : 15515 99.77%
37 75s Q9752 flush 4 0.01% 1 : 15515 99.77%
38 74s Q9742 flush 4 0.01% 1 : 15515 99.76%
39 73s Q9732 flush 4 0.01% 1 : 15515 99.76%
40 65s Q9652 flush 4 0.01% 1 : 15515 99.75%
41 64s Q9642 flush 4 0.01% 1 : 15515 99.74%
42 63s Q9632 flush 4 0.01% 1 : 15515 99.74%
43 54s Q9542 flush 4 0.01% 1 : 15515 99.73%
44 53s Q9532 flush 4 0.01% 1 : 15515 99.72%
45 43s Q9432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ92 three of a kind 64 0.10% 1 : 969 99.71%
47 99 Q9992 three of a kind 64 0.10% 1 : 969 99.61%
48 22 Q9222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q9 QQ992 two pairs 144 0.23% 1 : 430 99.40%
50 Q2 QQ922 two pairs 144 0.23% 1 : 430 99.17%
51 92 Q9922 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ92 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ92 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ92 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ92 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ92 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT92 one pair 384 0.62% 1 : 161 95.61%
58 Q8 QQ982 one pair 384 0.62% 1 : 161 94.99%
59 Q7 QQ972 one pair 384 0.62% 1 : 161 94.37%
60 Q6 QQ962 one pair 384 0.62% 1 : 161 93.75%
61 Q5 QQ952 one pair 384 0.62% 1 : 161 93.14%
62 Q4 QQ942 one pair 384 0.62% 1 : 161 92.52%
63 Q3 QQ932 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ92 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT92 one pair 384 0.62% 1 : 161 90.66%
66 A9 AQ992 one pair 384 0.62% 1 : 161 90.04%
67 K9 KQ992 one pair 384 0.62% 1 : 161 89.42%
68 J9 QJ992 one pair 384 0.62% 1 : 161 88.81%
69 T9 QT992 one pair 384 0.62% 1 : 161 88.19%
70 98 Q9982 one pair 384 0.62% 1 : 161 87.57%
71 97 Q9972 one pair 384 0.62% 1 : 161 86.95%
72 96 Q9962 one pair 384 0.62% 1 : 161 86.33%
73 95 Q9952 one pair 384 0.62% 1 : 161 85.71%
74 94 Q9942 one pair 384 0.62% 1 : 161 85.09%
75 93 Q9932 one pair 384 0.62% 1 : 161 84.47%
76 88 Q9882 one pair 384 0.62% 1 : 161 83.86%
77 77 Q9772 one pair 384 0.62% 1 : 161 83.24%
78 66 Q9662 one pair 384 0.62% 1 : 161 82.62%
79 55 Q9552 one pair 384 0.62% 1 : 161 82.00%
80 44 Q9442 one pair 384 0.62% 1 : 161 81.38%
81 33 Q9332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AQ922 one pair 384 0.62% 1 : 161 80.14%
83 K2 KQ922 one pair 384 0.62% 1 : 161 79.52%
84 J2 QJ922 one pair 384 0.62% 1 : 161 78.91%
85 T2 QT922 one pair 384 0.62% 1 : 161 78.29%
86 82 Q9822 one pair 384 0.62% 1 : 161 77.67%
87 72 Q9722 one pair 384 0.62% 1 : 161 77.05%
88 62 Q9622 one pair 384 0.62% 1 : 161 76.43%
89 52 Q9522 one pair 384 0.62% 1 : 161 75.81%
90 42 Q9422 one pair 384 0.62% 1 : 161 75.19%
91 32 Q9322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ92 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ92 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT92 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AQ982 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQ972 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQ962 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQ952 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AQ942 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AQ932 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ92 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT92 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQ982 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQ972 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQ962 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQ952 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQ942 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KQ932 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT92 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 QJ982 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 QJ972 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 QJ962 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 QJ952 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 QJ942 high card 1,020 1.64% 1 : 59.8 37.80%
115 J3 QJ932 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 QT982 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 QT972 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 QT962 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 QT952 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 QT942 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 QT932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 Q9872 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 Q9862 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 Q9852 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 Q9842 high card 1,020 1.64% 1 : 59.8 19.72%
126 83 Q9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 Q9762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 Q9752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 Q9742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 Q9732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 Q9652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 Q9642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 Q9632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 Q9542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 Q9532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 Q9432 high card 1,020 1.64% 1 : 59.8 1.64%