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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 KQs AKQ92 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ92 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT92 flush 4 0.01% 1 : 15515 99.99%
4 K8s AK982 flush 4 0.01% 1 : 15515 99.98%
5 K7s AK972 flush 4 0.01% 1 : 15515 99.97%
6 K6s AK962 flush 4 0.01% 1 : 15515 99.97%
7 K5s AK952 flush 4 0.01% 1 : 15515 99.96%
8 K4s AK942 flush 4 0.01% 1 : 15515 99.95%
9 K3s AK932 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ92 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT92 flush 4 0.01% 1 : 15515 99.94%
12 Q8s AQ982 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQ972 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQ962 flush 4 0.01% 1 : 15515 99.92%
15 Q5s AQ952 flush 4 0.01% 1 : 15515 99.91%
16 Q4s AQ942 flush 4 0.01% 1 : 15515 99.90%
17 Q3s AQ932 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT92 flush 4 0.01% 1 : 15515 99.89%
19 J8s AJ982 flush 4 0.01% 1 : 15515 99.88%
20 J7s AJ972 flush 4 0.01% 1 : 15515 99.88%
21 J6s AJ962 flush 4 0.01% 1 : 15515 99.87%
22 J5s AJ952 flush 4 0.01% 1 : 15515 99.86%
23 J4s AJ942 flush 4 0.01% 1 : 15515 99.86%
24 J3s AJ932 flush 4 0.01% 1 : 15515 99.85%
25 T8s AT982 flush 4 0.01% 1 : 15515 99.85%
26 T7s AT972 flush 4 0.01% 1 : 15515 99.84%
27 T6s AT962 flush 4 0.01% 1 : 15515 99.83%
28 T5s AT952 flush 4 0.01% 1 : 15515 99.83%
29 T4s AT942 flush 4 0.01% 1 : 15515 99.82%
30 T3s AT932 flush 4 0.01% 1 : 15515 99.81%
31 87s A9872 flush 4 0.01% 1 : 15515 99.81%
32 86s A9862 flush 4 0.01% 1 : 15515 99.80%
33 85s A9852 flush 4 0.01% 1 : 15515 99.79%
34 84s A9842 flush 4 0.01% 1 : 15515 99.79%
35 83s A9832 flush 4 0.01% 1 : 15515 99.78%
36 76s A9762 flush 4 0.01% 1 : 15515 99.77%
37 75s A9752 flush 4 0.01% 1 : 15515 99.77%
38 74s A9742 flush 4 0.01% 1 : 15515 99.76%
39 73s A9732 flush 4 0.01% 1 : 15515 99.76%
40 65s A9652 flush 4 0.01% 1 : 15515 99.75%
41 64s A9642 flush 4 0.01% 1 : 15515 99.74%
42 63s A9632 flush 4 0.01% 1 : 15515 99.74%
43 54s A9542 flush 4 0.01% 1 : 15515 99.73%
44 53s A9532 flush 4 0.01% 1 : 15515 99.72%
45 43s A9432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA92 three of a kind 64 0.10% 1 : 969 99.71%
47 99 A9992 three of a kind 64 0.10% 1 : 969 99.61%
48 22 A9222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A9 AA992 two pairs 144 0.23% 1 : 430 99.40%
50 A2 AA922 two pairs 144 0.23% 1 : 430 99.17%
51 92 A9922 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK92 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ92 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ92 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT92 one pair 384 0.62% 1 : 161 96.85%
56 A8 AA982 one pair 384 0.62% 1 : 161 96.23%
57 A7 AA972 one pair 384 0.62% 1 : 161 95.61%
58 A6 AA962 one pair 384 0.62% 1 : 161 94.99%
59 A5 AA952 one pair 384 0.62% 1 : 161 94.37%
60 A4 AA942 one pair 384 0.62% 1 : 161 93.75%
61 A3 AA932 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK92 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ92 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ92 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT92 one pair 384 0.62% 1 : 161 90.66%
66 K9 AK992 one pair 384 0.62% 1 : 161 90.04%
67 Q9 AQ992 one pair 384 0.62% 1 : 161 89.42%
68 J9 AJ992 one pair 384 0.62% 1 : 161 88.81%
69 T9 AT992 one pair 384 0.62% 1 : 161 88.19%
70 98 A9982 one pair 384 0.62% 1 : 161 87.57%
71 97 A9972 one pair 384 0.62% 1 : 161 86.95%
72 96 A9962 one pair 384 0.62% 1 : 161 86.33%
73 95 A9952 one pair 384 0.62% 1 : 161 85.71%
74 94 A9942 one pair 384 0.62% 1 : 161 85.09%
75 93 A9932 one pair 384 0.62% 1 : 161 84.47%
76 88 A9882 one pair 384 0.62% 1 : 161 83.86%
77 77 A9772 one pair 384 0.62% 1 : 161 83.24%
78 66 A9662 one pair 384 0.62% 1 : 161 82.62%
79 55 A9552 one pair 384 0.62% 1 : 161 82.00%
80 44 A9442 one pair 384 0.62% 1 : 161 81.38%
81 33 A9332 one pair 384 0.62% 1 : 161 80.76%
82 K2 AK922 one pair 384 0.62% 1 : 161 80.14%
83 Q2 AQ922 one pair 384 0.62% 1 : 161 79.52%
84 J2 AJ922 one pair 384 0.62% 1 : 161 78.91%
85 T2 AT922 one pair 384 0.62% 1 : 161 78.29%
86 82 A9822 one pair 384 0.62% 1 : 161 77.67%
87 72 A9722 one pair 384 0.62% 1 : 161 77.05%
88 62 A9622 one pair 384 0.62% 1 : 161 76.43%
89 52 A9522 one pair 384 0.62% 1 : 161 75.81%
90 42 A9422 one pair 384 0.62% 1 : 161 75.19%
91 32 A9322 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ92 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ92 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT92 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AK982 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AK972 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AK962 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AK952 high card 1,020 1.64% 1 : 59.8 64.10%
99 K4 AK942 high card 1,020 1.64% 1 : 59.8 62.45%
100 K3 AK932 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ92 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT92 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 AQ982 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQ972 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQ962 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 AQ952 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 AQ942 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q3 AQ932 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT92 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 AJ982 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 AJ972 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 AJ962 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 AJ952 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 AJ942 high card 1,020 1.64% 1 : 59.8 37.80%
115 J3 AJ932 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 AT982 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 AT972 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 AT962 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 AT952 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 AT942 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 AT932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 A9872 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 A9862 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 A9852 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 A9842 high card 1,020 1.64% 1 : 59.8 19.72%
126 83 A9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 A9762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 A9752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 A9742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 A9732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 A9652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 A9642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 A9632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 A9542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 A9532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 A9432 high card 1,020 1.64% 1 : 59.8 1.64%