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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 AKQJ2 flush 4 0.01% 1 : 15515 100.00%
2 ATs AKJT2 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKJ92 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKJ82 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKJ72 flush 4 0.01% 1 : 15515 99.97%
6 A6s AKJ62 flush 4 0.01% 1 : 15515 99.97%
7 A5s AKJ52 flush 4 0.01% 1 : 15515 99.96%
8 A4s AKJ42 flush 4 0.01% 1 : 15515 99.95%
9 A3s AKJ32 flush 4 0.01% 1 : 15515 99.95%
10 QTs KQJT2 flush 4 0.01% 1 : 15515 99.94%
11 Q9s KQJ92 flush 4 0.01% 1 : 15515 99.94%
12 Q8s KQJ82 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQJ72 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQJ62 flush 4 0.01% 1 : 15515 99.92%
15 Q5s KQJ52 flush 4 0.01% 1 : 15515 99.91%
16 Q4s KQJ42 flush 4 0.01% 1 : 15515 99.90%
17 Q3s KQJ32 flush 4 0.01% 1 : 15515 99.90%
18 T9s KJT92 flush 4 0.01% 1 : 15515 99.89%
19 T8s KJT82 flush 4 0.01% 1 : 15515 99.88%
20 T7s KJT72 flush 4 0.01% 1 : 15515 99.88%
21 T6s KJT62 flush 4 0.01% 1 : 15515 99.87%
22 T5s KJT52 flush 4 0.01% 1 : 15515 99.86%
23 T4s KJT42 flush 4 0.01% 1 : 15515 99.86%
24 T3s KJT32 flush 4 0.01% 1 : 15515 99.85%
25 98s KJ982 flush 4 0.01% 1 : 15515 99.85%
26 97s KJ972 flush 4 0.01% 1 : 15515 99.84%
27 96s KJ962 flush 4 0.01% 1 : 15515 99.83%
28 95s KJ952 flush 4 0.01% 1 : 15515 99.83%
29 94s KJ942 flush 4 0.01% 1 : 15515 99.82%
30 93s KJ932 flush 4 0.01% 1 : 15515 99.81%
31 87s KJ872 flush 4 0.01% 1 : 15515 99.81%
32 86s KJ862 flush 4 0.01% 1 : 15515 99.80%
33 85s KJ852 flush 4 0.01% 1 : 15515 99.79%
34 84s KJ842 flush 4 0.01% 1 : 15515 99.79%
35 83s KJ832 flush 4 0.01% 1 : 15515 99.78%
36 76s KJ762 flush 4 0.01% 1 : 15515 99.77%
37 75s KJ752 flush 4 0.01% 1 : 15515 99.77%
38 74s KJ742 flush 4 0.01% 1 : 15515 99.76%
39 73s KJ732 flush 4 0.01% 1 : 15515 99.76%
40 65s KJ652 flush 4 0.01% 1 : 15515 99.75%
41 64s KJ642 flush 4 0.01% 1 : 15515 99.74%
42 63s KJ632 flush 4 0.01% 1 : 15515 99.74%
43 54s KJ542 flush 4 0.01% 1 : 15515 99.73%
44 53s KJ532 flush 4 0.01% 1 : 15515 99.72%
45 43s KJ432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKJ2 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ KJJJ2 three of a kind 64 0.10% 1 : 969 99.61%
48 22 KJ222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KJ KKJJ2 two pairs 144 0.23% 1 : 430 99.40%
50 K2 KKJ22 two pairs 144 0.23% 1 : 430 99.17%
51 J2 KJJ22 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKJ2 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKJ2 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQJ2 one pair 384 0.62% 1 : 161 97.47%
55 KT KKJT2 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKJ92 one pair 384 0.62% 1 : 161 96.23%
57 K8 KKJ82 one pair 384 0.62% 1 : 161 95.61%
58 K7 KKJ72 one pair 384 0.62% 1 : 161 94.99%
59 K6 KKJ62 one pair 384 0.62% 1 : 161 94.37%
60 K5 KKJ52 one pair 384 0.62% 1 : 161 93.75%
61 K4 KKJ42 one pair 384 0.62% 1 : 161 93.14%
62 K3 KKJ32 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQJ2 one pair 384 0.62% 1 : 161 91.90%
64 AJ AKJJ2 one pair 384 0.62% 1 : 161 91.28%
65 QJ KQJJ2 one pair 384 0.62% 1 : 161 90.66%
66 JT KJJT2 one pair 384 0.62% 1 : 161 90.04%
67 J9 KJJ92 one pair 384 0.62% 1 : 161 89.42%
68 J8 KJJ82 one pair 384 0.62% 1 : 161 88.81%
69 J7 KJJ72 one pair 384 0.62% 1 : 161 88.19%
70 J6 KJJ62 one pair 384 0.62% 1 : 161 87.57%
71 J5 KJJ52 one pair 384 0.62% 1 : 161 86.95%
72 J4 KJJ42 one pair 384 0.62% 1 : 161 86.33%
73 J3 KJJ32 one pair 384 0.62% 1 : 161 85.71%
74 TT KJTT2 one pair 384 0.62% 1 : 161 85.09%
75 99 KJ992 one pair 384 0.62% 1 : 161 84.47%
76 88 KJ882 one pair 384 0.62% 1 : 161 83.86%
77 77 KJ772 one pair 384 0.62% 1 : 161 83.24%
78 66 KJ662 one pair 384 0.62% 1 : 161 82.62%
79 55 KJ552 one pair 384 0.62% 1 : 161 82.00%
80 44 KJ442 one pair 384 0.62% 1 : 161 81.38%
81 33 KJ332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AKJ22 one pair 384 0.62% 1 : 161 80.14%
83 Q2 KQJ22 one pair 384 0.62% 1 : 161 79.52%
84 T2 KJT22 one pair 384 0.62% 1 : 161 78.91%
85 92 KJ922 one pair 384 0.62% 1 : 161 78.29%
86 82 KJ822 one pair 384 0.62% 1 : 161 77.67%
87 72 KJ722 one pair 384 0.62% 1 : 161 77.05%
88 62 KJ622 one pair 384 0.62% 1 : 161 76.43%
89 52 KJ522 one pair 384 0.62% 1 : 161 75.81%
90 42 KJ422 one pair 384 0.62% 1 : 161 75.19%
91 32 KJ322 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQJ2 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AKJT2 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKJ92 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKJ82 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKJ72 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AKJ62 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AKJ52 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AKJ42 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AKJ32 high card 1,020 1.64% 1 : 59.8 60.81%
101 QT KQJT2 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 KQJ92 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 KQJ82 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQJ72 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQJ62 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 KQJ52 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 KQJ42 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q3 KQJ32 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 KJT92 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 KJT82 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 KJT72 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 KJT62 high card 1,020 1.64% 1 : 59.8 41.09%
113 T5 KJT52 high card 1,020 1.64% 1 : 59.8 39.44%
114 T4 KJT42 high card 1,020 1.64% 1 : 59.8 37.80%
115 T3 KJT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 KJ982 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 KJ972 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 KJ962 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 KJ952 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 KJ942 high card 1,020 1.64% 1 : 59.8 27.94%
121 93 KJ932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 KJ872 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 KJ862 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 KJ852 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 KJ842 high card 1,020 1.64% 1 : 59.8 19.72%
126 83 KJ832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 KJ762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 KJ752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 KJ742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 KJ732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 KJ652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 KJ642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 KJ632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 KJ542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 KJ532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 KJ432 high card 1,020 1.64% 1 : 59.8 1.64%