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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 AKQ82 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ82 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT82 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK982 flush 4 0.01% 1 : 15515 99.98%
5 A7s AK872 flush 4 0.01% 1 : 15515 99.97%
6 A6s AK862 flush 4 0.01% 1 : 15515 99.97%
7 A5s AK852 flush 4 0.01% 1 : 15515 99.96%
8 A4s AK842 flush 4 0.01% 1 : 15515 99.95%
9 A3s AK832 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ82 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT82 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ982 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQ872 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQ862 flush 4 0.01% 1 : 15515 99.92%
15 Q5s KQ852 flush 4 0.01% 1 : 15515 99.91%
16 Q4s KQ842 flush 4 0.01% 1 : 15515 99.90%
17 Q3s KQ832 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT82 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ982 flush 4 0.01% 1 : 15515 99.88%
20 J7s KJ872 flush 4 0.01% 1 : 15515 99.88%
21 J6s KJ862 flush 4 0.01% 1 : 15515 99.87%
22 J5s KJ852 flush 4 0.01% 1 : 15515 99.86%
23 J4s KJ842 flush 4 0.01% 1 : 15515 99.86%
24 J3s KJ832 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT982 flush 4 0.01% 1 : 15515 99.85%
26 T7s KT872 flush 4 0.01% 1 : 15515 99.84%
27 T6s KT862 flush 4 0.01% 1 : 15515 99.83%
28 T5s KT852 flush 4 0.01% 1 : 15515 99.83%
29 T4s KT842 flush 4 0.01% 1 : 15515 99.82%
30 T3s KT832 flush 4 0.01% 1 : 15515 99.81%
31 97s K9872 flush 4 0.01% 1 : 15515 99.81%
32 96s K9862 flush 4 0.01% 1 : 15515 99.80%
33 95s K9852 flush 4 0.01% 1 : 15515 99.79%
34 94s K9842 flush 4 0.01% 1 : 15515 99.79%
35 93s K9832 flush 4 0.01% 1 : 15515 99.78%
36 76s K8762 flush 4 0.01% 1 : 15515 99.77%
37 75s K8752 flush 4 0.01% 1 : 15515 99.77%
38 74s K8742 flush 4 0.01% 1 : 15515 99.76%
39 73s K8732 flush 4 0.01% 1 : 15515 99.76%
40 65s K8652 flush 4 0.01% 1 : 15515 99.75%
41 64s K8642 flush 4 0.01% 1 : 15515 99.74%
42 63s K8632 flush 4 0.01% 1 : 15515 99.74%
43 54s K8542 flush 4 0.01% 1 : 15515 99.73%
44 53s K8532 flush 4 0.01% 1 : 15515 99.72%
45 43s K8432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK82 three of a kind 64 0.10% 1 : 969 99.71%
47 88 K8882 three of a kind 64 0.10% 1 : 969 99.61%
48 22 K8222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K8 KK882 two pairs 144 0.23% 1 : 430 99.40%
50 K2 KK822 two pairs 144 0.23% 1 : 430 99.17%
51 82 K8822 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK82 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK82 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ82 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ82 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT82 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK982 one pair 384 0.62% 1 : 161 95.61%
58 K7 KK872 one pair 384 0.62% 1 : 161 94.99%
59 K6 KK862 one pair 384 0.62% 1 : 161 94.37%
60 K5 KK852 one pair 384 0.62% 1 : 161 93.75%
61 K4 KK842 one pair 384 0.62% 1 : 161 93.14%
62 K3 KK832 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ82 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ82 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT82 one pair 384 0.62% 1 : 161 90.66%
66 99 K9982 one pair 384 0.62% 1 : 161 90.04%
67 A8 AK882 one pair 384 0.62% 1 : 161 89.42%
68 Q8 KQ882 one pair 384 0.62% 1 : 161 88.81%
69 J8 KJ882 one pair 384 0.62% 1 : 161 88.19%
70 T8 KT882 one pair 384 0.62% 1 : 161 87.57%
71 98 K9882 one pair 384 0.62% 1 : 161 86.95%
72 87 K8872 one pair 384 0.62% 1 : 161 86.33%
73 86 K8862 one pair 384 0.62% 1 : 161 85.71%
74 85 K8852 one pair 384 0.62% 1 : 161 85.09%
75 84 K8842 one pair 384 0.62% 1 : 161 84.47%
76 83 K8832 one pair 384 0.62% 1 : 161 83.86%
77 77 K8772 one pair 384 0.62% 1 : 161 83.24%
78 66 K8662 one pair 384 0.62% 1 : 161 82.62%
79 55 K8552 one pair 384 0.62% 1 : 161 82.00%
80 44 K8442 one pair 384 0.62% 1 : 161 81.38%
81 33 K8332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AK822 one pair 384 0.62% 1 : 161 80.14%
83 Q2 KQ822 one pair 384 0.62% 1 : 161 79.52%
84 J2 KJ822 one pair 384 0.62% 1 : 161 78.91%
85 T2 KT822 one pair 384 0.62% 1 : 161 78.29%
86 92 K9822 one pair 384 0.62% 1 : 161 77.67%
87 72 K8722 one pair 384 0.62% 1 : 161 77.05%
88 62 K8622 one pair 384 0.62% 1 : 161 76.43%
89 52 K8522 one pair 384 0.62% 1 : 161 75.81%
90 42 K8422 one pair 384 0.62% 1 : 161 75.19%
91 32 K8322 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ82 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ82 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT82 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK982 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AK872 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AK862 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AK852 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AK842 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AK832 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ82 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT82 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ982 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQ872 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQ862 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 KQ852 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 KQ842 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q3 KQ832 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT82 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ982 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 KJ872 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 KJ862 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 KJ852 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 KJ842 high card 1,020 1.64% 1 : 59.8 37.80%
115 J3 KJ832 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT982 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 KT872 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 KT862 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 KT852 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 KT842 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 KT832 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 K9872 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 K9862 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 K9852 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 K9842 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 K9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 K8762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 K8752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 K8742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 K8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 K8652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 K8642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 K8632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 K8542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 K8532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 K8432 high card 1,020 1.64% 1 : 59.8 1.64%