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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 AKQ52 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ52 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT52 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQ952 flush 4 0.01% 1 : 15515 99.98%
5 A8s AQ852 flush 4 0.01% 1 : 15515 99.97%
6 A7s AQ752 flush 4 0.01% 1 : 15515 99.97%
7 A6s AQ652 flush 4 0.01% 1 : 15515 99.96%
8 A4s AQ542 flush 4 0.01% 1 : 15515 99.95%
9 A3s AQ532 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ52 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT52 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQ952 flush 4 0.01% 1 : 15515 99.93%
13 K8s KQ852 flush 4 0.01% 1 : 15515 99.92%
14 K7s KQ752 flush 4 0.01% 1 : 15515 99.92%
15 K6s KQ652 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQ542 flush 4 0.01% 1 : 15515 99.90%
17 K3s KQ532 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT52 flush 4 0.01% 1 : 15515 99.89%
19 J9s QJ952 flush 4 0.01% 1 : 15515 99.88%
20 J8s QJ852 flush 4 0.01% 1 : 15515 99.88%
21 J7s QJ752 flush 4 0.01% 1 : 15515 99.87%
22 J6s QJ652 flush 4 0.01% 1 : 15515 99.86%
23 J4s QJ542 flush 4 0.01% 1 : 15515 99.86%
24 J3s QJ532 flush 4 0.01% 1 : 15515 99.85%
25 T9s QT952 flush 4 0.01% 1 : 15515 99.85%
26 T8s QT852 flush 4 0.01% 1 : 15515 99.84%
27 T7s QT752 flush 4 0.01% 1 : 15515 99.83%
28 T6s QT652 flush 4 0.01% 1 : 15515 99.83%
29 T4s QT542 flush 4 0.01% 1 : 15515 99.82%
30 T3s QT532 flush 4 0.01% 1 : 15515 99.81%
31 98s Q9852 flush 4 0.01% 1 : 15515 99.81%
32 97s Q9752 flush 4 0.01% 1 : 15515 99.80%
33 96s Q9652 flush 4 0.01% 1 : 15515 99.79%
34 94s Q9542 flush 4 0.01% 1 : 15515 99.79%
35 93s Q9532 flush 4 0.01% 1 : 15515 99.78%
36 87s Q8752 flush 4 0.01% 1 : 15515 99.77%
37 86s Q8652 flush 4 0.01% 1 : 15515 99.77%
38 84s Q8542 flush 4 0.01% 1 : 15515 99.76%
39 83s Q8532 flush 4 0.01% 1 : 15515 99.76%
40 76s Q7652 flush 4 0.01% 1 : 15515 99.75%
41 74s Q7542 flush 4 0.01% 1 : 15515 99.74%
42 73s Q7532 flush 4 0.01% 1 : 15515 99.74%
43 64s Q6542 flush 4 0.01% 1 : 15515 99.73%
44 63s Q6532 flush 4 0.01% 1 : 15515 99.72%
45 43s Q5432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ52 three of a kind 64 0.10% 1 : 969 99.71%
47 55 Q5552 three of a kind 64 0.10% 1 : 969 99.61%
48 22 Q5222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q5 QQ552 two pairs 144 0.23% 1 : 430 99.40%
50 Q2 QQ522 two pairs 144 0.23% 1 : 430 99.17%
51 52 Q5522 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ52 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ52 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ52 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ52 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ52 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT52 one pair 384 0.62% 1 : 161 95.61%
58 Q9 QQ952 one pair 384 0.62% 1 : 161 94.99%
59 Q8 QQ852 one pair 384 0.62% 1 : 161 94.37%
60 Q7 QQ752 one pair 384 0.62% 1 : 161 93.75%
61 Q6 QQ652 one pair 384 0.62% 1 : 161 93.14%
62 Q4 QQ542 one pair 384 0.62% 1 : 161 92.52%
63 Q3 QQ532 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ52 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT52 one pair 384 0.62% 1 : 161 90.66%
66 99 Q9952 one pair 384 0.62% 1 : 161 90.04%
67 88 Q8852 one pair 384 0.62% 1 : 161 89.42%
68 77 Q7752 one pair 384 0.62% 1 : 161 88.81%
69 66 Q6652 one pair 384 0.62% 1 : 161 88.19%
70 A5 AQ552 one pair 384 0.62% 1 : 161 87.57%
71 K5 KQ552 one pair 384 0.62% 1 : 161 86.95%
72 J5 QJ552 one pair 384 0.62% 1 : 161 86.33%
73 T5 QT552 one pair 384 0.62% 1 : 161 85.71%
74 95 Q9552 one pair 384 0.62% 1 : 161 85.09%
75 85 Q8552 one pair 384 0.62% 1 : 161 84.47%
76 75 Q7552 one pair 384 0.62% 1 : 161 83.86%
77 65 Q6552 one pair 384 0.62% 1 : 161 83.24%
78 54 Q5542 one pair 384 0.62% 1 : 161 82.62%
79 53 Q5532 one pair 384 0.62% 1 : 161 82.00%
80 44 Q5442 one pair 384 0.62% 1 : 161 81.38%
81 33 Q5332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AQ522 one pair 384 0.62% 1 : 161 80.14%
83 K2 KQ522 one pair 384 0.62% 1 : 161 79.52%
84 J2 QJ522 one pair 384 0.62% 1 : 161 78.91%
85 T2 QT522 one pair 384 0.62% 1 : 161 78.29%
86 92 Q9522 one pair 384 0.62% 1 : 161 77.67%
87 82 Q8522 one pair 384 0.62% 1 : 161 77.05%
88 72 Q7522 one pair 384 0.62% 1 : 161 76.43%
89 62 Q6522 one pair 384 0.62% 1 : 161 75.81%
90 42 Q5422 one pair 384 0.62% 1 : 161 75.19%
91 32 Q5322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ52 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ52 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT52 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQ952 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AQ852 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AQ752 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AQ652 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AQ542 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AQ532 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ52 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT52 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQ952 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KQ852 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KQ752 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KQ652 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQ542 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KQ532 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT52 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 QJ952 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 QJ852 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 QJ752 high card 1,020 1.64% 1 : 59.8 41.09%
113 J6 QJ652 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 QJ542 high card 1,020 1.64% 1 : 59.8 37.80%
115 J3 QJ532 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 QT952 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 QT852 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 QT752 high card 1,020 1.64% 1 : 59.8 31.23%
119 T6 QT652 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 QT542 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 QT532 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 Q9852 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 Q9752 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 Q9652 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 Q9542 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 Q9532 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 Q8752 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 Q8652 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 Q8542 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 Q8532 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 Q7652 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 Q7542 high card 1,020 1.64% 1 : 59.8 8.22%
133 73 Q7532 high card 1,020 1.64% 1 : 59.8 6.57%
134 64 Q6542 high card 1,020 1.64% 1 : 59.8 4.93%
135 63 Q6532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 Q5432 high card 1,020 1.64% 1 : 59.8 1.64%