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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 AQs AKQ52 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ52 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT52 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK952 flush 4 0.01% 1 : 15515 99.98%
5 A8s AK852 flush 4 0.01% 1 : 15515 99.97%
6 A7s AK752 flush 4 0.01% 1 : 15515 99.97%
7 A6s AK652 flush 4 0.01% 1 : 15515 99.96%
8 A4s AK542 flush 4 0.01% 1 : 15515 99.95%
9 A3s AK532 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ52 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT52 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ952 flush 4 0.01% 1 : 15515 99.93%
13 Q8s KQ852 flush 4 0.01% 1 : 15515 99.92%
14 Q7s KQ752 flush 4 0.01% 1 : 15515 99.92%
15 Q6s KQ652 flush 4 0.01% 1 : 15515 99.91%
16 Q4s KQ542 flush 4 0.01% 1 : 15515 99.90%
17 Q3s KQ532 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT52 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ952 flush 4 0.01% 1 : 15515 99.88%
20 J8s KJ852 flush 4 0.01% 1 : 15515 99.88%
21 J7s KJ752 flush 4 0.01% 1 : 15515 99.87%
22 J6s KJ652 flush 4 0.01% 1 : 15515 99.86%
23 J4s KJ542 flush 4 0.01% 1 : 15515 99.86%
24 J3s KJ532 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT952 flush 4 0.01% 1 : 15515 99.85%
26 T8s KT852 flush 4 0.01% 1 : 15515 99.84%
27 T7s KT752 flush 4 0.01% 1 : 15515 99.83%
28 T6s KT652 flush 4 0.01% 1 : 15515 99.83%
29 T4s KT542 flush 4 0.01% 1 : 15515 99.82%
30 T3s KT532 flush 4 0.01% 1 : 15515 99.81%
31 98s K9852 flush 4 0.01% 1 : 15515 99.81%
32 97s K9752 flush 4 0.01% 1 : 15515 99.80%
33 96s K9652 flush 4 0.01% 1 : 15515 99.79%
34 94s K9542 flush 4 0.01% 1 : 15515 99.79%
35 93s K9532 flush 4 0.01% 1 : 15515 99.78%
36 87s K8752 flush 4 0.01% 1 : 15515 99.77%
37 86s K8652 flush 4 0.01% 1 : 15515 99.77%
38 84s K8542 flush 4 0.01% 1 : 15515 99.76%
39 83s K8532 flush 4 0.01% 1 : 15515 99.76%
40 76s K7652 flush 4 0.01% 1 : 15515 99.75%
41 74s K7542 flush 4 0.01% 1 : 15515 99.74%
42 73s K7532 flush 4 0.01% 1 : 15515 99.74%
43 64s K6542 flush 4 0.01% 1 : 15515 99.73%
44 63s K6532 flush 4 0.01% 1 : 15515 99.72%
45 43s K5432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK52 three of a kind 64 0.10% 1 : 969 99.71%
47 55 K5552 three of a kind 64 0.10% 1 : 969 99.61%
48 22 K5222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K5 KK552 two pairs 144 0.23% 1 : 430 99.40%
50 K2 KK522 two pairs 144 0.23% 1 : 430 99.17%
51 52 K5522 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK52 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK52 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ52 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ52 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT52 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK952 one pair 384 0.62% 1 : 161 95.61%
58 K8 KK852 one pair 384 0.62% 1 : 161 94.99%
59 K7 KK752 one pair 384 0.62% 1 : 161 94.37%
60 K6 KK652 one pair 384 0.62% 1 : 161 93.75%
61 K4 KK542 one pair 384 0.62% 1 : 161 93.14%
62 K3 KK532 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ52 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ52 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT52 one pair 384 0.62% 1 : 161 90.66%
66 99 K9952 one pair 384 0.62% 1 : 161 90.04%
67 88 K8852 one pair 384 0.62% 1 : 161 89.42%
68 77 K7752 one pair 384 0.62% 1 : 161 88.81%
69 66 K6652 one pair 384 0.62% 1 : 161 88.19%
70 A5 AK552 one pair 384 0.62% 1 : 161 87.57%
71 Q5 KQ552 one pair 384 0.62% 1 : 161 86.95%
72 J5 KJ552 one pair 384 0.62% 1 : 161 86.33%
73 T5 KT552 one pair 384 0.62% 1 : 161 85.71%
74 95 K9552 one pair 384 0.62% 1 : 161 85.09%
75 85 K8552 one pair 384 0.62% 1 : 161 84.47%
76 75 K7552 one pair 384 0.62% 1 : 161 83.86%
77 65 K6552 one pair 384 0.62% 1 : 161 83.24%
78 54 K5542 one pair 384 0.62% 1 : 161 82.62%
79 53 K5532 one pair 384 0.62% 1 : 161 82.00%
80 44 K5442 one pair 384 0.62% 1 : 161 81.38%
81 33 K5332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AK522 one pair 384 0.62% 1 : 161 80.14%
83 Q2 KQ522 one pair 384 0.62% 1 : 161 79.52%
84 J2 KJ522 one pair 384 0.62% 1 : 161 78.91%
85 T2 KT522 one pair 384 0.62% 1 : 161 78.29%
86 92 K9522 one pair 384 0.62% 1 : 161 77.67%
87 82 K8522 one pair 384 0.62% 1 : 161 77.05%
88 72 K7522 one pair 384 0.62% 1 : 161 76.43%
89 62 K6522 one pair 384 0.62% 1 : 161 75.81%
90 42 K5422 one pair 384 0.62% 1 : 161 75.19%
91 32 K5322 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ52 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ52 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT52 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK952 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AK852 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AK752 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AK652 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AK542 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AK532 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ52 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT52 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ952 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 KQ852 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q7 KQ752 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q6 KQ652 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 KQ542 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q3 KQ532 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT52 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ952 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 KJ852 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 KJ752 high card 1,020 1.64% 1 : 59.8 41.09%
113 J6 KJ652 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 KJ542 high card 1,020 1.64% 1 : 59.8 37.80%
115 J3 KJ532 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT952 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 KT852 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 KT752 high card 1,020 1.64% 1 : 59.8 31.23%
119 T6 KT652 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 KT542 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 KT532 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 K9852 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 K9752 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 K9652 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 K9542 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 K9532 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 K8752 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 K8652 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 K8542 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 K8532 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 K7652 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 K7542 high card 1,020 1.64% 1 : 59.8 8.22%
133 73 K7532 high card 1,020 1.64% 1 : 59.8 6.57%
134 64 K6542 high card 1,020 1.64% 1 : 59.8 4.93%
135 63 K6532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 K5432 high card 1,020 1.64% 1 : 59.8 1.64%