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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 AKQ82 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ82 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT82 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQ982 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQ872 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQ862 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQ852 flush 4 0.01% 1 : 15515 99.96%
8 A4s AQ842 flush 4 0.01% 1 : 15515 99.95%
9 A3s AQ832 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ82 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT82 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQ982 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQ872 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQ862 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQ852 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQ842 flush 4 0.01% 1 : 15515 99.90%
17 K3s KQ832 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT82 flush 4 0.01% 1 : 15515 99.89%
19 J9s QJ982 flush 4 0.01% 1 : 15515 99.88%
20 J7s QJ872 flush 4 0.01% 1 : 15515 99.88%
21 J6s QJ862 flush 4 0.01% 1 : 15515 99.87%
22 J5s QJ852 flush 4 0.01% 1 : 15515 99.86%
23 J4s QJ842 flush 4 0.01% 1 : 15515 99.86%
24 J3s QJ832 flush 4 0.01% 1 : 15515 99.85%
25 T9s QT982 flush 4 0.01% 1 : 15515 99.85%
26 T7s QT872 flush 4 0.01% 1 : 15515 99.84%
27 T6s QT862 flush 4 0.01% 1 : 15515 99.83%
28 T5s QT852 flush 4 0.01% 1 : 15515 99.83%
29 T4s QT842 flush 4 0.01% 1 : 15515 99.82%
30 T3s QT832 flush 4 0.01% 1 : 15515 99.81%
31 97s Q9872 flush 4 0.01% 1 : 15515 99.81%
32 96s Q9862 flush 4 0.01% 1 : 15515 99.80%
33 95s Q9852 flush 4 0.01% 1 : 15515 99.79%
34 94s Q9842 flush 4 0.01% 1 : 15515 99.79%
35 93s Q9832 flush 4 0.01% 1 : 15515 99.78%
36 76s Q8762 flush 4 0.01% 1 : 15515 99.77%
37 75s Q8752 flush 4 0.01% 1 : 15515 99.77%
38 74s Q8742 flush 4 0.01% 1 : 15515 99.76%
39 73s Q8732 flush 4 0.01% 1 : 15515 99.76%
40 65s Q8652 flush 4 0.01% 1 : 15515 99.75%
41 64s Q8642 flush 4 0.01% 1 : 15515 99.74%
42 63s Q8632 flush 4 0.01% 1 : 15515 99.74%
43 54s Q8542 flush 4 0.01% 1 : 15515 99.73%
44 53s Q8532 flush 4 0.01% 1 : 15515 99.72%
45 43s Q8432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ82 three of a kind 64 0.10% 1 : 969 99.71%
47 88 Q8882 three of a kind 64 0.10% 1 : 969 99.61%
48 22 Q8222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q8 QQ882 two pairs 144 0.23% 1 : 430 99.40%
50 Q2 QQ822 two pairs 144 0.23% 1 : 430 99.17%
51 82 Q8822 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ82 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ82 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ82 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ82 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ82 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT82 one pair 384 0.62% 1 : 161 95.61%
58 Q9 QQ982 one pair 384 0.62% 1 : 161 94.99%
59 Q7 QQ872 one pair 384 0.62% 1 : 161 94.37%
60 Q6 QQ862 one pair 384 0.62% 1 : 161 93.75%
61 Q5 QQ852 one pair 384 0.62% 1 : 161 93.14%
62 Q4 QQ842 one pair 384 0.62% 1 : 161 92.52%
63 Q3 QQ832 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ82 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT82 one pair 384 0.62% 1 : 161 90.66%
66 99 Q9982 one pair 384 0.62% 1 : 161 90.04%
67 A8 AQ882 one pair 384 0.62% 1 : 161 89.42%
68 K8 KQ882 one pair 384 0.62% 1 : 161 88.81%
69 J8 QJ882 one pair 384 0.62% 1 : 161 88.19%
70 T8 QT882 one pair 384 0.62% 1 : 161 87.57%
71 98 Q9882 one pair 384 0.62% 1 : 161 86.95%
72 87 Q8872 one pair 384 0.62% 1 : 161 86.33%
73 86 Q8862 one pair 384 0.62% 1 : 161 85.71%
74 85 Q8852 one pair 384 0.62% 1 : 161 85.09%
75 84 Q8842 one pair 384 0.62% 1 : 161 84.47%
76 83 Q8832 one pair 384 0.62% 1 : 161 83.86%
77 77 Q8772 one pair 384 0.62% 1 : 161 83.24%
78 66 Q8662 one pair 384 0.62% 1 : 161 82.62%
79 55 Q8552 one pair 384 0.62% 1 : 161 82.00%
80 44 Q8442 one pair 384 0.62% 1 : 161 81.38%
81 33 Q8332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AQ822 one pair 384 0.62% 1 : 161 80.14%
83 K2 KQ822 one pair 384 0.62% 1 : 161 79.52%
84 J2 QJ822 one pair 384 0.62% 1 : 161 78.91%
85 T2 QT822 one pair 384 0.62% 1 : 161 78.29%
86 92 Q9822 one pair 384 0.62% 1 : 161 77.67%
87 72 Q8722 one pair 384 0.62% 1 : 161 77.05%
88 62 Q8622 one pair 384 0.62% 1 : 161 76.43%
89 52 Q8522 one pair 384 0.62% 1 : 161 75.81%
90 42 Q8422 one pair 384 0.62% 1 : 161 75.19%
91 32 Q8322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ82 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ82 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT82 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQ982 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQ872 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQ862 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQ852 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AQ842 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AQ832 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ82 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT82 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQ982 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQ872 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQ862 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQ852 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQ842 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KQ832 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT82 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 QJ982 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 QJ872 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 QJ862 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 QJ852 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 QJ842 high card 1,020 1.64% 1 : 59.8 37.80%
115 J3 QJ832 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 QT982 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 QT872 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 QT862 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 QT852 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 QT842 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 QT832 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 Q9872 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 Q9862 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 Q9852 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 Q9842 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 Q9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 Q8762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 Q8752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 Q8742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 Q8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 Q8652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 Q8642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 Q8632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 Q8542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 Q8532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 Q8432 high card 1,020 1.64% 1 : 59.8 1.64%