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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 AKJ82 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ82 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT82 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ982 flush 4 0.01% 1 : 15515 99.98%
5 A7s AJ872 flush 4 0.01% 1 : 15515 99.97%
6 A6s AJ862 flush 4 0.01% 1 : 15515 99.97%
7 A5s AJ852 flush 4 0.01% 1 : 15515 99.96%
8 A4s AJ842 flush 4 0.01% 1 : 15515 99.95%
9 A3s AJ832 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ82 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT82 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ982 flush 4 0.01% 1 : 15515 99.93%
13 K7s KJ872 flush 4 0.01% 1 : 15515 99.92%
14 K6s KJ862 flush 4 0.01% 1 : 15515 99.92%
15 K5s KJ852 flush 4 0.01% 1 : 15515 99.91%
16 K4s KJ842 flush 4 0.01% 1 : 15515 99.90%
17 K3s KJ832 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT82 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ982 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QJ872 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJ862 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJ852 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QJ842 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QJ832 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT982 flush 4 0.01% 1 : 15515 99.85%
26 T7s JT872 flush 4 0.01% 1 : 15515 99.84%
27 T6s JT862 flush 4 0.01% 1 : 15515 99.83%
28 T5s JT852 flush 4 0.01% 1 : 15515 99.83%
29 T4s JT842 flush 4 0.01% 1 : 15515 99.82%
30 T3s JT832 flush 4 0.01% 1 : 15515 99.81%
31 97s J9872 flush 4 0.01% 1 : 15515 99.81%
32 96s J9862 flush 4 0.01% 1 : 15515 99.80%
33 95s J9852 flush 4 0.01% 1 : 15515 99.79%
34 94s J9842 flush 4 0.01% 1 : 15515 99.79%
35 93s J9832 flush 4 0.01% 1 : 15515 99.78%
36 76s J8762 flush 4 0.01% 1 : 15515 99.77%
37 75s J8752 flush 4 0.01% 1 : 15515 99.77%
38 74s J8742 flush 4 0.01% 1 : 15515 99.76%
39 73s J8732 flush 4 0.01% 1 : 15515 99.76%
40 65s J8652 flush 4 0.01% 1 : 15515 99.75%
41 64s J8642 flush 4 0.01% 1 : 15515 99.74%
42 63s J8632 flush 4 0.01% 1 : 15515 99.74%
43 54s J8542 flush 4 0.01% 1 : 15515 99.73%
44 53s J8532 flush 4 0.01% 1 : 15515 99.72%
45 43s J8432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ82 three of a kind 64 0.10% 1 : 969 99.71%
47 88 J8882 three of a kind 64 0.10% 1 : 969 99.61%
48 22 J8222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J8 JJ882 two pairs 144 0.23% 1 : 430 99.40%
50 J2 JJ822 two pairs 144 0.23% 1 : 430 99.17%
51 82 J8822 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ82 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ82 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ82 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ82 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ82 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ82 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT82 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ982 one pair 384 0.62% 1 : 161 94.37%
60 J7 JJ872 one pair 384 0.62% 1 : 161 93.75%
61 J6 JJ862 one pair 384 0.62% 1 : 161 93.14%
62 J5 JJ852 one pair 384 0.62% 1 : 161 92.52%
63 J4 JJ842 one pair 384 0.62% 1 : 161 91.90%
64 J3 JJ832 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT82 one pair 384 0.62% 1 : 161 90.66%
66 99 J9982 one pair 384 0.62% 1 : 161 90.04%
67 A8 AJ882 one pair 384 0.62% 1 : 161 89.42%
68 K8 KJ882 one pair 384 0.62% 1 : 161 88.81%
69 Q8 QJ882 one pair 384 0.62% 1 : 161 88.19%
70 T8 JT882 one pair 384 0.62% 1 : 161 87.57%
71 98 J9882 one pair 384 0.62% 1 : 161 86.95%
72 87 J8872 one pair 384 0.62% 1 : 161 86.33%
73 86 J8862 one pair 384 0.62% 1 : 161 85.71%
74 85 J8852 one pair 384 0.62% 1 : 161 85.09%
75 84 J8842 one pair 384 0.62% 1 : 161 84.47%
76 83 J8832 one pair 384 0.62% 1 : 161 83.86%
77 77 J8772 one pair 384 0.62% 1 : 161 83.24%
78 66 J8662 one pair 384 0.62% 1 : 161 82.62%
79 55 J8552 one pair 384 0.62% 1 : 161 82.00%
80 44 J8442 one pair 384 0.62% 1 : 161 81.38%
81 33 J8332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AJ822 one pair 384 0.62% 1 : 161 80.14%
83 K2 KJ822 one pair 384 0.62% 1 : 161 79.52%
84 Q2 QJ822 one pair 384 0.62% 1 : 161 78.91%
85 T2 JT822 one pair 384 0.62% 1 : 161 78.29%
86 92 J9822 one pair 384 0.62% 1 : 161 77.67%
87 72 J8722 one pair 384 0.62% 1 : 161 77.05%
88 62 J8622 one pair 384 0.62% 1 : 161 76.43%
89 52 J8522 one pair 384 0.62% 1 : 161 75.81%
90 42 J8422 one pair 384 0.62% 1 : 161 75.19%
91 32 J8322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ82 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ82 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT82 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ982 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AJ872 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AJ862 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AJ852 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AJ842 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AJ832 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ82 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT82 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ982 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KJ872 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KJ862 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KJ852 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KJ842 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KJ832 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT82 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ982 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QJ872 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJ862 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJ852 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QJ842 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QJ832 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT982 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 JT872 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 JT862 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 JT852 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 JT842 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 JT832 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 J9872 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 J9862 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 J9852 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 J9842 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 J9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 J8762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 J8752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 J8742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 J8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 J8652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 J8642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 J8632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 J8542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 J8532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 J8432 high card 1,020 1.64% 1 : 59.8 1.64%