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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 AKJ92 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ92 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT92 flush 4 0.01% 1 : 15515 99.99%
4 A8s AJ982 flush 4 0.01% 1 : 15515 99.98%
5 A7s AJ972 flush 4 0.01% 1 : 15515 99.97%
6 A6s AJ962 flush 4 0.01% 1 : 15515 99.97%
7 A5s AJ952 flush 4 0.01% 1 : 15515 99.96%
8 A4s AJ942 flush 4 0.01% 1 : 15515 99.95%
9 A3s AJ932 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ92 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT92 flush 4 0.01% 1 : 15515 99.94%
12 K8s KJ982 flush 4 0.01% 1 : 15515 99.93%
13 K7s KJ972 flush 4 0.01% 1 : 15515 99.92%
14 K6s KJ962 flush 4 0.01% 1 : 15515 99.92%
15 K5s KJ952 flush 4 0.01% 1 : 15515 99.91%
16 K4s KJ942 flush 4 0.01% 1 : 15515 99.90%
17 K3s KJ932 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT92 flush 4 0.01% 1 : 15515 99.89%
19 Q8s QJ982 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QJ972 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJ962 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJ952 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QJ942 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QJ932 flush 4 0.01% 1 : 15515 99.85%
25 T8s JT982 flush 4 0.01% 1 : 15515 99.85%
26 T7s JT972 flush 4 0.01% 1 : 15515 99.84%
27 T6s JT962 flush 4 0.01% 1 : 15515 99.83%
28 T5s JT952 flush 4 0.01% 1 : 15515 99.83%
29 T4s JT942 flush 4 0.01% 1 : 15515 99.82%
30 T3s JT932 flush 4 0.01% 1 : 15515 99.81%
31 87s J9872 flush 4 0.01% 1 : 15515 99.81%
32 86s J9862 flush 4 0.01% 1 : 15515 99.80%
33 85s J9852 flush 4 0.01% 1 : 15515 99.79%
34 84s J9842 flush 4 0.01% 1 : 15515 99.79%
35 83s J9832 flush 4 0.01% 1 : 15515 99.78%
36 76s J9762 flush 4 0.01% 1 : 15515 99.77%
37 75s J9752 flush 4 0.01% 1 : 15515 99.77%
38 74s J9742 flush 4 0.01% 1 : 15515 99.76%
39 73s J9732 flush 4 0.01% 1 : 15515 99.76%
40 65s J9652 flush 4 0.01% 1 : 15515 99.75%
41 64s J9642 flush 4 0.01% 1 : 15515 99.74%
42 63s J9632 flush 4 0.01% 1 : 15515 99.74%
43 54s J9542 flush 4 0.01% 1 : 15515 99.73%
44 53s J9532 flush 4 0.01% 1 : 15515 99.72%
45 43s J9432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ92 three of a kind 64 0.10% 1 : 969 99.71%
47 99 J9992 three of a kind 64 0.10% 1 : 969 99.61%
48 22 J9222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J9 JJ992 two pairs 144 0.23% 1 : 430 99.40%
50 J2 JJ922 two pairs 144 0.23% 1 : 430 99.17%
51 92 J9922 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ92 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ92 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ92 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ92 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ92 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ92 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT92 one pair 384 0.62% 1 : 161 94.99%
59 J8 JJ982 one pair 384 0.62% 1 : 161 94.37%
60 J7 JJ972 one pair 384 0.62% 1 : 161 93.75%
61 J6 JJ962 one pair 384 0.62% 1 : 161 93.14%
62 J5 JJ952 one pair 384 0.62% 1 : 161 92.52%
63 J4 JJ942 one pair 384 0.62% 1 : 161 91.90%
64 J3 JJ932 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT92 one pair 384 0.62% 1 : 161 90.66%
66 A9 AJ992 one pair 384 0.62% 1 : 161 90.04%
67 K9 KJ992 one pair 384 0.62% 1 : 161 89.42%
68 Q9 QJ992 one pair 384 0.62% 1 : 161 88.81%
69 T9 JT992 one pair 384 0.62% 1 : 161 88.19%
70 98 J9982 one pair 384 0.62% 1 : 161 87.57%
71 97 J9972 one pair 384 0.62% 1 : 161 86.95%
72 96 J9962 one pair 384 0.62% 1 : 161 86.33%
73 95 J9952 one pair 384 0.62% 1 : 161 85.71%
74 94 J9942 one pair 384 0.62% 1 : 161 85.09%
75 93 J9932 one pair 384 0.62% 1 : 161 84.47%
76 88 J9882 one pair 384 0.62% 1 : 161 83.86%
77 77 J9772 one pair 384 0.62% 1 : 161 83.24%
78 66 J9662 one pair 384 0.62% 1 : 161 82.62%
79 55 J9552 one pair 384 0.62% 1 : 161 82.00%
80 44 J9442 one pair 384 0.62% 1 : 161 81.38%
81 33 J9332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AJ922 one pair 384 0.62% 1 : 161 80.14%
83 K2 KJ922 one pair 384 0.62% 1 : 161 79.52%
84 Q2 QJ922 one pair 384 0.62% 1 : 161 78.91%
85 T2 JT922 one pair 384 0.62% 1 : 161 78.29%
86 82 J9822 one pair 384 0.62% 1 : 161 77.67%
87 72 J9722 one pair 384 0.62% 1 : 161 77.05%
88 62 J9622 one pair 384 0.62% 1 : 161 76.43%
89 52 J9522 one pair 384 0.62% 1 : 161 75.81%
90 42 J9422 one pair 384 0.62% 1 : 161 75.19%
91 32 J9322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ92 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ92 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT92 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AJ982 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AJ972 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AJ962 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AJ952 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AJ942 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AJ932 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ92 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT92 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KJ982 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KJ972 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KJ962 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KJ952 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KJ942 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KJ932 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT92 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q8 QJ982 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QJ972 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJ962 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJ952 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QJ942 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QJ932 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 JT982 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 JT972 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 JT962 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 JT952 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 JT942 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 JT932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 J9872 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 J9862 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 J9852 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 J9842 high card 1,020 1.64% 1 : 59.8 19.72%
126 83 J9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 J9762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 J9752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 J9742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 J9732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 J9652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 J9642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 J9632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 J9542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 J9532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 J9432 high card 1,020 1.64% 1 : 59.8 1.64%