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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 AK982 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ982 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ982 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT982 flush 4 0.01% 1 : 15515 99.98%
5 A7s A9872 flush 4 0.01% 1 : 15515 99.97%
6 A6s A9862 flush 4 0.01% 1 : 15515 99.97%
7 A5s A9852 flush 4 0.01% 1 : 15515 99.96%
8 A4s A9842 flush 4 0.01% 1 : 15515 99.95%
9 A3s A9832 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ982 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ982 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT982 flush 4 0.01% 1 : 15515 99.93%
13 K7s K9872 flush 4 0.01% 1 : 15515 99.92%
14 K6s K9862 flush 4 0.01% 1 : 15515 99.92%
15 K5s K9852 flush 4 0.01% 1 : 15515 99.91%
16 K4s K9842 flush 4 0.01% 1 : 15515 99.90%
17 K3s K9832 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ982 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT982 flush 4 0.01% 1 : 15515 99.88%
20 Q7s Q9872 flush 4 0.01% 1 : 15515 99.88%
21 Q6s Q9862 flush 4 0.01% 1 : 15515 99.87%
22 Q5s Q9852 flush 4 0.01% 1 : 15515 99.86%
23 Q4s Q9842 flush 4 0.01% 1 : 15515 99.86%
24 Q3s Q9832 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT982 flush 4 0.01% 1 : 15515 99.85%
26 J7s J9872 flush 4 0.01% 1 : 15515 99.84%
27 J6s J9862 flush 4 0.01% 1 : 15515 99.83%
28 J5s J9852 flush 4 0.01% 1 : 15515 99.83%
29 J4s J9842 flush 4 0.01% 1 : 15515 99.82%
30 J3s J9832 flush 4 0.01% 1 : 15515 99.81%
31 T7s T9872 flush 4 0.01% 1 : 15515 99.81%
32 T6s T9862 flush 4 0.01% 1 : 15515 99.80%
33 T5s T9852 flush 4 0.01% 1 : 15515 99.79%
34 T4s T9842 flush 4 0.01% 1 : 15515 99.79%
35 T3s T9832 flush 4 0.01% 1 : 15515 99.78%
36 76s 98762 flush 4 0.01% 1 : 15515 99.77%
37 75s 98752 flush 4 0.01% 1 : 15515 99.77%
38 74s 98742 flush 4 0.01% 1 : 15515 99.76%
39 73s 98732 flush 4 0.01% 1 : 15515 99.76%
40 65s 98652 flush 4 0.01% 1 : 15515 99.75%
41 64s 98642 flush 4 0.01% 1 : 15515 99.74%
42 63s 98632 flush 4 0.01% 1 : 15515 99.74%
43 54s 98542 flush 4 0.01% 1 : 15515 99.73%
44 53s 98532 flush 4 0.01% 1 : 15515 99.72%
45 43s 98432 flush 4 0.01% 1 : 15515 99.72%
 
46 99 99982 three of a kind 64 0.10% 1 : 969 99.71%
47 88 98882 three of a kind 64 0.10% 1 : 969 99.61%
48 22 98222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 98 99882 two pairs 144 0.23% 1 : 430 99.40%
50 92 99822 two pairs 144 0.23% 1 : 430 99.17%
51 82 98822 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA982 one pair 384 0.62% 1 : 161 98.70%
53 KK KK982 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ982 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ982 one pair 384 0.62% 1 : 161 96.85%
56 TT TT982 one pair 384 0.62% 1 : 161 96.23%
57 A9 A9982 one pair 384 0.62% 1 : 161 95.61%
58 K9 K9982 one pair 384 0.62% 1 : 161 94.99%
59 Q9 Q9982 one pair 384 0.62% 1 : 161 94.37%
60 J9 J9982 one pair 384 0.62% 1 : 161 93.75%
61 T9 T9982 one pair 384 0.62% 1 : 161 93.14%
62 97 99872 one pair 384 0.62% 1 : 161 92.52%
63 96 99862 one pair 384 0.62% 1 : 161 91.90%
64 95 99852 one pair 384 0.62% 1 : 161 91.28%
65 94 99842 one pair 384 0.62% 1 : 161 90.66%
66 93 99832 one pair 384 0.62% 1 : 161 90.04%
67 A8 A9882 one pair 384 0.62% 1 : 161 89.42%
68 K8 K9882 one pair 384 0.62% 1 : 161 88.81%
69 Q8 Q9882 one pair 384 0.62% 1 : 161 88.19%
70 J8 J9882 one pair 384 0.62% 1 : 161 87.57%
71 T8 T9882 one pair 384 0.62% 1 : 161 86.95%
72 87 98872 one pair 384 0.62% 1 : 161 86.33%
73 86 98862 one pair 384 0.62% 1 : 161 85.71%
74 85 98852 one pair 384 0.62% 1 : 161 85.09%
75 84 98842 one pair 384 0.62% 1 : 161 84.47%
76 83 98832 one pair 384 0.62% 1 : 161 83.86%
77 77 98772 one pair 384 0.62% 1 : 161 83.24%
78 66 98662 one pair 384 0.62% 1 : 161 82.62%
79 55 98552 one pair 384 0.62% 1 : 161 82.00%
80 44 98442 one pair 384 0.62% 1 : 161 81.38%
81 33 98332 one pair 384 0.62% 1 : 161 80.76%
82 A2 A9822 one pair 384 0.62% 1 : 161 80.14%
83 K2 K9822 one pair 384 0.62% 1 : 161 79.52%
84 Q2 Q9822 one pair 384 0.62% 1 : 161 78.91%
85 J2 J9822 one pair 384 0.62% 1 : 161 78.29%
86 T2 T9822 one pair 384 0.62% 1 : 161 77.67%
87 72 98722 one pair 384 0.62% 1 : 161 77.05%
88 62 98622 one pair 384 0.62% 1 : 161 76.43%
89 52 98522 one pair 384 0.62% 1 : 161 75.81%
90 42 98422 one pair 384 0.62% 1 : 161 75.19%
91 32 98322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK982 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ982 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ982 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT982 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 A9872 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 A9862 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 A9852 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 A9842 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 A9832 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ982 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ982 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT982 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 K9872 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 K9862 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 K9852 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 K9842 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 K9832 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ982 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT982 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 Q9872 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 Q9862 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 Q9852 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 Q9842 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 Q9832 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT982 high card 1,020 1.64% 1 : 59.8 34.51%
117 J7 J9872 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 J9862 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 J9852 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 J9842 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 J9832 high card 1,020 1.64% 1 : 59.8 26.30%
122 T7 T9872 high card 1,020 1.64% 1 : 59.8 24.65%
123 T6 T9862 high card 1,020 1.64% 1 : 59.8 23.01%
124 T5 T9852 high card 1,020 1.64% 1 : 59.8 21.37%
125 T4 T9842 high card 1,020 1.64% 1 : 59.8 19.72%
126 T3 T9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 98762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 98752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 98742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 98732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 98652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 98642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 98632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 98542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 98532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 98432 high card 1,020 1.64% 1 : 59.8 1.64%