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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 AK952 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ952 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ952 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT952 flush 4 0.01% 1 : 15515 99.98%
5 A8s A9852 flush 4 0.01% 1 : 15515 99.97%
6 A7s A9752 flush 4 0.01% 1 : 15515 99.97%
7 A6s A9652 flush 4 0.01% 1 : 15515 99.96%
8 A4s A9542 flush 4 0.01% 1 : 15515 99.95%
9 A3s A9532 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ952 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ952 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT952 flush 4 0.01% 1 : 15515 99.93%
13 K8s K9852 flush 4 0.01% 1 : 15515 99.92%
14 K7s K9752 flush 4 0.01% 1 : 15515 99.92%
15 K6s K9652 flush 4 0.01% 1 : 15515 99.91%
16 K4s K9542 flush 4 0.01% 1 : 15515 99.90%
17 K3s K9532 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ952 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT952 flush 4 0.01% 1 : 15515 99.88%
20 Q8s Q9852 flush 4 0.01% 1 : 15515 99.88%
21 Q7s Q9752 flush 4 0.01% 1 : 15515 99.87%
22 Q6s Q9652 flush 4 0.01% 1 : 15515 99.86%
23 Q4s Q9542 flush 4 0.01% 1 : 15515 99.86%
24 Q3s Q9532 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT952 flush 4 0.01% 1 : 15515 99.85%
26 J8s J9852 flush 4 0.01% 1 : 15515 99.84%
27 J7s J9752 flush 4 0.01% 1 : 15515 99.83%
28 J6s J9652 flush 4 0.01% 1 : 15515 99.83%
29 J4s J9542 flush 4 0.01% 1 : 15515 99.82%
30 J3s J9532 flush 4 0.01% 1 : 15515 99.81%
31 T8s T9852 flush 4 0.01% 1 : 15515 99.81%
32 T7s T9752 flush 4 0.01% 1 : 15515 99.80%
33 T6s T9652 flush 4 0.01% 1 : 15515 99.79%
34 T4s T9542 flush 4 0.01% 1 : 15515 99.79%
35 T3s T9532 flush 4 0.01% 1 : 15515 99.78%
36 87s 98752 flush 4 0.01% 1 : 15515 99.77%
37 86s 98652 flush 4 0.01% 1 : 15515 99.77%
38 84s 98542 flush 4 0.01% 1 : 15515 99.76%
39 83s 98532 flush 4 0.01% 1 : 15515 99.76%
40 76s 97652 flush 4 0.01% 1 : 15515 99.75%
41 74s 97542 flush 4 0.01% 1 : 15515 99.74%
42 73s 97532 flush 4 0.01% 1 : 15515 99.74%
43 64s 96542 flush 4 0.01% 1 : 15515 99.73%
44 63s 96532 flush 4 0.01% 1 : 15515 99.72%
45 43s 95432 flush 4 0.01% 1 : 15515 99.72%
 
46 99 99952 three of a kind 64 0.10% 1 : 969 99.71%
47 55 95552 three of a kind 64 0.10% 1 : 969 99.61%
48 22 95222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 95 99552 two pairs 144 0.23% 1 : 430 99.40%
50 92 99522 two pairs 144 0.23% 1 : 430 99.17%
51 52 95522 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA952 one pair 384 0.62% 1 : 161 98.70%
53 KK KK952 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ952 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ952 one pair 384 0.62% 1 : 161 96.85%
56 TT TT952 one pair 384 0.62% 1 : 161 96.23%
57 A9 A9952 one pair 384 0.62% 1 : 161 95.61%
58 K9 K9952 one pair 384 0.62% 1 : 161 94.99%
59 Q9 Q9952 one pair 384 0.62% 1 : 161 94.37%
60 J9 J9952 one pair 384 0.62% 1 : 161 93.75%
61 T9 T9952 one pair 384 0.62% 1 : 161 93.14%
62 98 99852 one pair 384 0.62% 1 : 161 92.52%
63 97 99752 one pair 384 0.62% 1 : 161 91.90%
64 96 99652 one pair 384 0.62% 1 : 161 91.28%
65 94 99542 one pair 384 0.62% 1 : 161 90.66%
66 93 99532 one pair 384 0.62% 1 : 161 90.04%
67 88 98852 one pair 384 0.62% 1 : 161 89.42%
68 77 97752 one pair 384 0.62% 1 : 161 88.81%
69 66 96652 one pair 384 0.62% 1 : 161 88.19%
70 A5 A9552 one pair 384 0.62% 1 : 161 87.57%
71 K5 K9552 one pair 384 0.62% 1 : 161 86.95%
72 Q5 Q9552 one pair 384 0.62% 1 : 161 86.33%
73 J5 J9552 one pair 384 0.62% 1 : 161 85.71%
74 T5 T9552 one pair 384 0.62% 1 : 161 85.09%
75 85 98552 one pair 384 0.62% 1 : 161 84.47%
76 75 97552 one pair 384 0.62% 1 : 161 83.86%
77 65 96552 one pair 384 0.62% 1 : 161 83.24%
78 54 95542 one pair 384 0.62% 1 : 161 82.62%
79 53 95532 one pair 384 0.62% 1 : 161 82.00%
80 44 95442 one pair 384 0.62% 1 : 161 81.38%
81 33 95332 one pair 384 0.62% 1 : 161 80.76%
82 A2 A9522 one pair 384 0.62% 1 : 161 80.14%
83 K2 K9522 one pair 384 0.62% 1 : 161 79.52%
84 Q2 Q9522 one pair 384 0.62% 1 : 161 78.91%
85 J2 J9522 one pair 384 0.62% 1 : 161 78.29%
86 T2 T9522 one pair 384 0.62% 1 : 161 77.67%
87 82 98522 one pair 384 0.62% 1 : 161 77.05%
88 72 97522 one pair 384 0.62% 1 : 161 76.43%
89 62 96522 one pair 384 0.62% 1 : 161 75.81%
90 42 95422 one pair 384 0.62% 1 : 161 75.19%
91 32 95322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK952 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ952 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ952 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT952 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 A9852 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 A9752 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 A9652 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 A9542 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 A9532 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ952 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ952 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT952 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 K9852 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 K9752 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 K9652 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 K9542 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 K9532 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ952 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT952 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 Q9852 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 Q9752 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 Q9652 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 Q9542 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 Q9532 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT952 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 J9852 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 J9752 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 J9652 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 J9542 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 J9532 high card 1,020 1.64% 1 : 59.8 26.30%
122 T8 T9852 high card 1,020 1.64% 1 : 59.8 24.65%
123 T7 T9752 high card 1,020 1.64% 1 : 59.8 23.01%
124 T6 T9652 high card 1,020 1.64% 1 : 59.8 21.37%
125 T4 T9542 high card 1,020 1.64% 1 : 59.8 19.72%
126 T3 T9532 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 98752 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 98652 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 98542 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 98532 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 97652 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 97542 high card 1,020 1.64% 1 : 59.8 8.22%
133 73 97532 high card 1,020 1.64% 1 : 59.8 6.57%
134 64 96542 high card 1,020 1.64% 1 : 59.8 4.93%
135 63 96532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 95432 high card 1,020 1.64% 1 : 59.8 1.64%