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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 1 4 0.01% 1 : 15515
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 44 176 0.28% 1 : 352
straight 1 1,020 1.64% 1 : 59.8
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 44 44,880 72.31% 2.61 : 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 43s A5432 straight flush 4 0.01% 1 : 15515 100.00%
 
2 KQs AKQ52 flush 4 0.01% 1 : 15515 99.99%
3 KJs AKJ52 flush 4 0.01% 1 : 15515 99.99%
4 KTs AKT52 flush 4 0.01% 1 : 15515 99.98%
5 K9s AK952 flush 4 0.01% 1 : 15515 99.97%
6 K8s AK852 flush 4 0.01% 1 : 15515 99.97%
7 K7s AK752 flush 4 0.01% 1 : 15515 99.96%
8 K6s AK652 flush 4 0.01% 1 : 15515 99.95%
9 K4s AK542 flush 4 0.01% 1 : 15515 99.95%
10 K3s AK532 flush 4 0.01% 1 : 15515 99.94%
11 QJs AQJ52 flush 4 0.01% 1 : 15515 99.94%
12 QTs AQT52 flush 4 0.01% 1 : 15515 99.93%
13 Q9s AQ952 flush 4 0.01% 1 : 15515 99.92%
14 Q8s AQ852 flush 4 0.01% 1 : 15515 99.92%
15 Q7s AQ752 flush 4 0.01% 1 : 15515 99.91%
16 Q6s AQ652 flush 4 0.01% 1 : 15515 99.90%
17 Q4s AQ542 flush 4 0.01% 1 : 15515 99.90%
18 Q3s AQ532 flush 4 0.01% 1 : 15515 99.89%
19 JTs AJT52 flush 4 0.01% 1 : 15515 99.88%
20 J9s AJ952 flush 4 0.01% 1 : 15515 99.88%
21 J8s AJ852 flush 4 0.01% 1 : 15515 99.87%
22 J7s AJ752 flush 4 0.01% 1 : 15515 99.86%
23 J6s AJ652 flush 4 0.01% 1 : 15515 99.86%
24 J4s AJ542 flush 4 0.01% 1 : 15515 99.85%
25 J3s AJ532 flush 4 0.01% 1 : 15515 99.85%
26 T9s AT952 flush 4 0.01% 1 : 15515 99.84%
27 T8s AT852 flush 4 0.01% 1 : 15515 99.83%
28 T7s AT752 flush 4 0.01% 1 : 15515 99.83%
29 T6s AT652 flush 4 0.01% 1 : 15515 99.82%
30 T4s AT542 flush 4 0.01% 1 : 15515 99.81%
31 T3s AT532 flush 4 0.01% 1 : 15515 99.81%
32 98s A9852 flush 4 0.01% 1 : 15515 99.80%
33 97s A9752 flush 4 0.01% 1 : 15515 99.79%
34 96s A9652 flush 4 0.01% 1 : 15515 99.79%
35 94s A9542 flush 4 0.01% 1 : 15515 99.78%
36 93s A9532 flush 4 0.01% 1 : 15515 99.77%
37 87s A8752 flush 4 0.01% 1 : 15515 99.77%
38 86s A8652 flush 4 0.01% 1 : 15515 99.76%
39 84s A8542 flush 4 0.01% 1 : 15515 99.76%
40 83s A8532 flush 4 0.01% 1 : 15515 99.75%
41 76s A7652 flush 4 0.01% 1 : 15515 99.74%
42 74s A7542 flush 4 0.01% 1 : 15515 99.74%
43 73s A7532 flush 4 0.01% 1 : 15515 99.73%
44 64s A6542 flush 4 0.01% 1 : 15515 99.72%
45 63s A6532 flush 4 0.01% 1 : 15515 99.72%
 
46 43 A5432 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 AA AAA52 three of a kind 64 0.10% 1 : 969 98.07%
48 55 A5552 three of a kind 64 0.10% 1 : 969 97.96%
49 22 A5222 three of a kind 64 0.10% 1 : 969 97.86%
 
50 A5 AA552 two pairs 144 0.23% 1 : 430 97.76%
51 A2 AA522 two pairs 144 0.23% 1 : 430 97.53%
52 52 A5522 two pairs 144 0.23% 1 : 430 97.29%
 
53 AK AAK52 one pair 384 0.62% 1 : 161 97.06%
54 AQ AAQ52 one pair 384 0.62% 1 : 161 96.44%
55 AJ AAJ52 one pair 384 0.62% 1 : 161 95.82%
56 AT AAT52 one pair 384 0.62% 1 : 161 95.20%
57 A9 AA952 one pair 384 0.62% 1 : 161 94.59%
58 A8 AA852 one pair 384 0.62% 1 : 161 93.97%
59 A7 AA752 one pair 384 0.62% 1 : 161 93.35%
60 A6 AA652 one pair 384 0.62% 1 : 161 92.73%
61 A4 AA542 one pair 384 0.62% 1 : 161 92.11%
62 A3 AA532 one pair 384 0.62% 1 : 161 91.49%
63 KK AKK52 one pair 384 0.62% 1 : 161 90.87%
64 QQ AQQ52 one pair 384 0.62% 1 : 161 90.26%
65 JJ AJJ52 one pair 384 0.62% 1 : 161 89.64%
66 TT ATT52 one pair 384 0.62% 1 : 161 89.02%
67 99 A9952 one pair 384 0.62% 1 : 161 88.40%
68 88 A8852 one pair 384 0.62% 1 : 161 87.78%
69 77 A7752 one pair 384 0.62% 1 : 161 87.16%
70 66 A6652 one pair 384 0.62% 1 : 161 86.54%
71 K5 AK552 one pair 384 0.62% 1 : 161 85.92%
72 Q5 AQ552 one pair 384 0.62% 1 : 161 85.31%
73 J5 AJ552 one pair 384 0.62% 1 : 161 84.69%
74 T5 AT552 one pair 384 0.62% 1 : 161 84.07%
75 95 A9552 one pair 384 0.62% 1 : 161 83.45%
76 85 A8552 one pair 384 0.62% 1 : 161 82.83%
77 75 A7552 one pair 384 0.62% 1 : 161 82.21%
78 65 A6552 one pair 384 0.62% 1 : 161 81.59%
79 54 A5542 one pair 384 0.62% 1 : 161 80.97%
80 53 A5532 one pair 384 0.62% 1 : 161 80.36%
81 44 A5442 one pair 384 0.62% 1 : 161 79.74%
82 33 A5332 one pair 384 0.62% 1 : 161 79.12%
83 K2 AK522 one pair 384 0.62% 1 : 161 78.50%
84 Q2 AQ522 one pair 384 0.62% 1 : 161 77.88%
85 J2 AJ522 one pair 384 0.62% 1 : 161 77.26%
86 T2 AT522 one pair 384 0.62% 1 : 161 76.64%
87 92 A9522 one pair 384 0.62% 1 : 161 76.02%
88 82 A8522 one pair 384 0.62% 1 : 161 75.41%
89 72 A7522 one pair 384 0.62% 1 : 161 74.79%
90 62 A6522 one pair 384 0.62% 1 : 161 74.17%
91 42 A5422 one pair 384 0.62% 1 : 161 73.55%
92 32 A5322 one pair 384 0.62% 1 : 161 72.93%
 
93 KQ AKQ52 high card 1,020 1.64% 1 : 59.8 72.31%
94 KJ AKJ52 high card 1,020 1.64% 1 : 59.8 70.67%
95 KT AKT52 high card 1,020 1.64% 1 : 59.8 69.03%
96 K9 AK952 high card 1,020 1.64% 1 : 59.8 67.38%
97 K8 AK852 high card 1,020 1.64% 1 : 59.8 65.74%
98 K7 AK752 high card 1,020 1.64% 1 : 59.8 64.10%
99 K6 AK652 high card 1,020 1.64% 1 : 59.8 62.45%
100 K4 AK542 high card 1,020 1.64% 1 : 59.8 60.81%
101 K3 AK532 high card 1,020 1.64% 1 : 59.8 59.16%
102 QJ AQJ52 high card 1,020 1.64% 1 : 59.8 57.52%
103 QT AQT52 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q9 AQ952 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q8 AQ852 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q7 AQ752 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q6 AQ652 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q4 AQ542 high card 1,020 1.64% 1 : 59.8 47.66%
109 Q3 AQ532 high card 1,020 1.64% 1 : 59.8 46.02%
110 JT AJT52 high card 1,020 1.64% 1 : 59.8 44.37%
111 J9 AJ952 high card 1,020 1.64% 1 : 59.8 42.73%
112 J8 AJ852 high card 1,020 1.64% 1 : 59.8 41.09%
113 J7 AJ752 high card 1,020 1.64% 1 : 59.8 39.44%
114 J6 AJ652 high card 1,020 1.64% 1 : 59.8 37.80%
115 J4 AJ542 high card 1,020 1.64% 1 : 59.8 36.16%
116 J3 AJ532 high card 1,020 1.64% 1 : 59.8 34.51%
117 T9 AT952 high card 1,020 1.64% 1 : 59.8 32.87%
118 T8 AT852 high card 1,020 1.64% 1 : 59.8 31.23%
119 T7 AT752 high card 1,020 1.64% 1 : 59.8 29.58%
120 T6 AT652 high card 1,020 1.64% 1 : 59.8 27.94%
121 T4 AT542 high card 1,020 1.64% 1 : 59.8 26.30%
122 T3 AT532 high card 1,020 1.64% 1 : 59.8 24.65%
123 98 A9852 high card 1,020 1.64% 1 : 59.8 23.01%
124 97 A9752 high card 1,020 1.64% 1 : 59.8 21.37%
125 96 A9652 high card 1,020 1.64% 1 : 59.8 19.72%
126 94 A9542 high card 1,020 1.64% 1 : 59.8 18.08%
127 93 A9532 high card 1,020 1.64% 1 : 59.8 16.43%
128 87 A8752 high card 1,020 1.64% 1 : 59.8 14.79%
129 86 A8652 high card 1,020 1.64% 1 : 59.8 13.15%
130 84 A8542 high card 1,020 1.64% 1 : 59.8 11.50%
131 83 A8532 high card 1,020 1.64% 1 : 59.8 9.86%
132 76 A7652 high card 1,020 1.64% 1 : 59.8 8.22%
133 74 A7542 high card 1,020 1.64% 1 : 59.8 6.57%
134 73 A7532 high card 1,020 1.64% 1 : 59.8 4.93%
135 64 A6542 high card 1,020 1.64% 1 : 59.8 3.29%
136 63 A6532 high card 1,020 1.64% 1 : 59.8 1.64%