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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 AK872 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ872 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ872 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT872 flush 4 0.01% 1 : 15515 99.98%
5 A9s A9872 flush 4 0.01% 1 : 15515 99.97%
6 A6s A8762 flush 4 0.01% 1 : 15515 99.97%
7 A5s A8752 flush 4 0.01% 1 : 15515 99.96%
8 A4s A8742 flush 4 0.01% 1 : 15515 99.95%
9 A3s A8732 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ872 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ872 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT872 flush 4 0.01% 1 : 15515 99.93%
13 K9s K9872 flush 4 0.01% 1 : 15515 99.92%
14 K6s K8762 flush 4 0.01% 1 : 15515 99.92%
15 K5s K8752 flush 4 0.01% 1 : 15515 99.91%
16 K4s K8742 flush 4 0.01% 1 : 15515 99.90%
17 K3s K8732 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ872 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT872 flush 4 0.01% 1 : 15515 99.88%
20 Q9s Q9872 flush 4 0.01% 1 : 15515 99.88%
21 Q6s Q8762 flush 4 0.01% 1 : 15515 99.87%
22 Q5s Q8752 flush 4 0.01% 1 : 15515 99.86%
23 Q4s Q8742 flush 4 0.01% 1 : 15515 99.86%
24 Q3s Q8732 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT872 flush 4 0.01% 1 : 15515 99.85%
26 J9s J9872 flush 4 0.01% 1 : 15515 99.84%
27 J6s J8762 flush 4 0.01% 1 : 15515 99.83%
28 J5s J8752 flush 4 0.01% 1 : 15515 99.83%
29 J4s J8742 flush 4 0.01% 1 : 15515 99.82%
30 J3s J8732 flush 4 0.01% 1 : 15515 99.81%
31 T9s T9872 flush 4 0.01% 1 : 15515 99.81%
32 T6s T8762 flush 4 0.01% 1 : 15515 99.80%
33 T5s T8752 flush 4 0.01% 1 : 15515 99.79%
34 T4s T8742 flush 4 0.01% 1 : 15515 99.79%
35 T3s T8732 flush 4 0.01% 1 : 15515 99.78%
36 96s 98762 flush 4 0.01% 1 : 15515 99.77%
37 95s 98752 flush 4 0.01% 1 : 15515 99.77%
38 94s 98742 flush 4 0.01% 1 : 15515 99.76%
39 93s 98732 flush 4 0.01% 1 : 15515 99.76%
40 65s 87652 flush 4 0.01% 1 : 15515 99.75%
41 64s 87642 flush 4 0.01% 1 : 15515 99.74%
42 63s 87632 flush 4 0.01% 1 : 15515 99.74%
43 54s 87542 flush 4 0.01% 1 : 15515 99.73%
44 53s 87532 flush 4 0.01% 1 : 15515 99.72%
45 43s 87432 flush 4 0.01% 1 : 15515 99.72%
 
46 88 88872 three of a kind 64 0.10% 1 : 969 99.71%
47 77 87772 three of a kind 64 0.10% 1 : 969 99.61%
48 22 87222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 87 88772 two pairs 144 0.23% 1 : 430 99.40%
50 82 88722 two pairs 144 0.23% 1 : 430 99.17%
51 72 87722 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA872 one pair 384 0.62% 1 : 161 98.70%
53 KK KK872 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ872 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ872 one pair 384 0.62% 1 : 161 96.85%
56 TT TT872 one pair 384 0.62% 1 : 161 96.23%
57 99 99872 one pair 384 0.62% 1 : 161 95.61%
58 A8 A8872 one pair 384 0.62% 1 : 161 94.99%
59 K8 K8872 one pair 384 0.62% 1 : 161 94.37%
60 Q8 Q8872 one pair 384 0.62% 1 : 161 93.75%
61 J8 J8872 one pair 384 0.62% 1 : 161 93.14%
62 T8 T8872 one pair 384 0.62% 1 : 161 92.52%
63 98 98872 one pair 384 0.62% 1 : 161 91.90%
64 86 88762 one pair 384 0.62% 1 : 161 91.28%
65 85 88752 one pair 384 0.62% 1 : 161 90.66%
66 84 88742 one pair 384 0.62% 1 : 161 90.04%
67 83 88732 one pair 384 0.62% 1 : 161 89.42%
68 A7 A8772 one pair 384 0.62% 1 : 161 88.81%
69 K7 K8772 one pair 384 0.62% 1 : 161 88.19%
70 Q7 Q8772 one pair 384 0.62% 1 : 161 87.57%
71 J7 J8772 one pair 384 0.62% 1 : 161 86.95%
72 T7 T8772 one pair 384 0.62% 1 : 161 86.33%
73 97 98772 one pair 384 0.62% 1 : 161 85.71%
74 76 87762 one pair 384 0.62% 1 : 161 85.09%
75 75 87752 one pair 384 0.62% 1 : 161 84.47%
76 74 87742 one pair 384 0.62% 1 : 161 83.86%
77 73 87732 one pair 384 0.62% 1 : 161 83.24%
78 66 87662 one pair 384 0.62% 1 : 161 82.62%
79 55 87552 one pair 384 0.62% 1 : 161 82.00%
80 44 87442 one pair 384 0.62% 1 : 161 81.38%
81 33 87332 one pair 384 0.62% 1 : 161 80.76%
82 A2 A8722 one pair 384 0.62% 1 : 161 80.14%
83 K2 K8722 one pair 384 0.62% 1 : 161 79.52%
84 Q2 Q8722 one pair 384 0.62% 1 : 161 78.91%
85 J2 J8722 one pair 384 0.62% 1 : 161 78.29%
86 T2 T8722 one pair 384 0.62% 1 : 161 77.67%
87 92 98722 one pair 384 0.62% 1 : 161 77.05%
88 62 87622 one pair 384 0.62% 1 : 161 76.43%
89 52 87522 one pair 384 0.62% 1 : 161 75.81%
90 42 87422 one pair 384 0.62% 1 : 161 75.19%
91 32 87322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK872 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ872 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ872 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT872 high card 1,020 1.64% 1 : 59.8 69.03%
96 A9 A9872 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 A8762 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 A8752 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 A8742 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 A8732 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ872 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ872 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT872 high card 1,020 1.64% 1 : 59.8 55.88%
104 K9 K9872 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 K8762 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 K8752 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 K8742 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 K8732 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ872 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT872 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q9 Q9872 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 Q8762 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 Q8752 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 Q8742 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 Q8732 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT872 high card 1,020 1.64% 1 : 59.8 34.51%
117 J9 J9872 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 J8762 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 J8752 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 J8742 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 J8732 high card 1,020 1.64% 1 : 59.8 26.30%
122 T9 T9872 high card 1,020 1.64% 1 : 59.8 24.65%
123 T6 T8762 high card 1,020 1.64% 1 : 59.8 23.01%
124 T5 T8752 high card 1,020 1.64% 1 : 59.8 21.37%
125 T4 T8742 high card 1,020 1.64% 1 : 59.8 19.72%
126 T3 T8732 high card 1,020 1.64% 1 : 59.8 18.08%
127 96 98762 high card 1,020 1.64% 1 : 59.8 16.43%
128 95 98752 high card 1,020 1.64% 1 : 59.8 14.79%
129 94 98742 high card 1,020 1.64% 1 : 59.8 13.15%
130 93 98732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 87652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 87642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 87632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 87542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 87532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 87432 high card 1,020 1.64% 1 : 59.8 1.64%