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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 AKQ96 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ96 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT96 flush 4 0.01% 1 : 15515 99.99%
4 A8s AQ986 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQ976 flush 4 0.01% 1 : 15515 99.97%
6 A5s AQ965 flush 4 0.01% 1 : 15515 99.97%
7 A4s AQ964 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQ963 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQ962 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ96 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT96 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQ986 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQ976 flush 4 0.01% 1 : 15515 99.92%
14 K5s KQ965 flush 4 0.01% 1 : 15515 99.92%
15 K4s KQ964 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQ963 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQ962 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT96 flush 4 0.01% 1 : 15515 99.89%
19 J8s QJ986 flush 4 0.01% 1 : 15515 99.88%
20 J7s QJ976 flush 4 0.01% 1 : 15515 99.88%
21 J5s QJ965 flush 4 0.01% 1 : 15515 99.87%
22 J4s QJ964 flush 4 0.01% 1 : 15515 99.86%
23 J3s QJ963 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJ962 flush 4 0.01% 1 : 15515 99.85%
25 T8s QT986 flush 4 0.01% 1 : 15515 99.85%
26 T7s QT976 flush 4 0.01% 1 : 15515 99.84%
27 T5s QT965 flush 4 0.01% 1 : 15515 99.83%
28 T4s QT964 flush 4 0.01% 1 : 15515 99.83%
29 T3s QT963 flush 4 0.01% 1 : 15515 99.82%
30 T2s QT962 flush 4 0.01% 1 : 15515 99.81%
31 87s Q9876 flush 4 0.01% 1 : 15515 99.81%
32 85s Q9865 flush 4 0.01% 1 : 15515 99.80%
33 84s Q9864 flush 4 0.01% 1 : 15515 99.79%
34 83s Q9863 flush 4 0.01% 1 : 15515 99.79%
35 82s Q9862 flush 4 0.01% 1 : 15515 99.78%
36 75s Q9765 flush 4 0.01% 1 : 15515 99.77%
37 74s Q9764 flush 4 0.01% 1 : 15515 99.77%
38 73s Q9763 flush 4 0.01% 1 : 15515 99.76%
39 72s Q9762 flush 4 0.01% 1 : 15515 99.76%
40 54s Q9654 flush 4 0.01% 1 : 15515 99.75%
41 53s Q9653 flush 4 0.01% 1 : 15515 99.74%
42 52s Q9652 flush 4 0.01% 1 : 15515 99.74%
43 43s Q9643 flush 4 0.01% 1 : 15515 99.73%
44 42s Q9642 flush 4 0.01% 1 : 15515 99.72%
45 32s Q9632 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ96 three of a kind 64 0.10% 1 : 969 99.71%
47 99 Q9996 three of a kind 64 0.10% 1 : 969 99.61%
48 66 Q9666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q9 QQ996 two pairs 144 0.23% 1 : 430 99.40%
50 Q6 QQ966 two pairs 144 0.23% 1 : 430 99.17%
51 96 Q9966 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ96 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ96 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ96 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ96 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ96 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT96 one pair 384 0.62% 1 : 161 95.61%
58 Q8 QQ986 one pair 384 0.62% 1 : 161 94.99%
59 Q7 QQ976 one pair 384 0.62% 1 : 161 94.37%
60 Q5 QQ965 one pair 384 0.62% 1 : 161 93.75%
61 Q4 QQ964 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQ963 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQ962 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ96 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT96 one pair 384 0.62% 1 : 161 90.66%
66 A9 AQ996 one pair 384 0.62% 1 : 161 90.04%
67 K9 KQ996 one pair 384 0.62% 1 : 161 89.42%
68 J9 QJ996 one pair 384 0.62% 1 : 161 88.81%
69 T9 QT996 one pair 384 0.62% 1 : 161 88.19%
70 98 Q9986 one pair 384 0.62% 1 : 161 87.57%
71 97 Q9976 one pair 384 0.62% 1 : 161 86.95%
72 95 Q9965 one pair 384 0.62% 1 : 161 86.33%
73 94 Q9964 one pair 384 0.62% 1 : 161 85.71%
74 93 Q9963 one pair 384 0.62% 1 : 161 85.09%
75 92 Q9962 one pair 384 0.62% 1 : 161 84.47%
76 88 Q9886 one pair 384 0.62% 1 : 161 83.86%
77 77 Q9776 one pair 384 0.62% 1 : 161 83.24%
78 A6 AQ966 one pair 384 0.62% 1 : 161 82.62%
79 K6 KQ966 one pair 384 0.62% 1 : 161 82.00%
80 J6 QJ966 one pair 384 0.62% 1 : 161 81.38%
81 T6 QT966 one pair 384 0.62% 1 : 161 80.76%
82 86 Q9866 one pair 384 0.62% 1 : 161 80.14%
83 76 Q9766 one pair 384 0.62% 1 : 161 79.52%
84 65 Q9665 one pair 384 0.62% 1 : 161 78.91%
85 64 Q9664 one pair 384 0.62% 1 : 161 78.29%
86 63 Q9663 one pair 384 0.62% 1 : 161 77.67%
87 62 Q9662 one pair 384 0.62% 1 : 161 77.05%
88 55 Q9655 one pair 384 0.62% 1 : 161 76.43%
89 44 Q9644 one pair 384 0.62% 1 : 161 75.81%
90 33 Q9633 one pair 384 0.62% 1 : 161 75.19%
91 22 Q9622 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ96 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ96 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT96 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AQ986 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQ976 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AQ965 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AQ964 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQ963 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQ962 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ96 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT96 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQ986 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQ976 high card 1,020 1.64% 1 : 59.8 54.23%
105 K5 KQ965 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KQ964 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQ963 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQ962 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT96 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 QJ986 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 QJ976 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 QJ965 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 QJ964 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 QJ963 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJ962 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 QT986 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 QT976 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 QT965 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 QT964 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 QT963 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 QT962 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 Q9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 Q9865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 Q9864 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 Q9863 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 Q9862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 Q9765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 Q9764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 Q9763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 Q9762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 Q9654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 Q9653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 Q9652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 Q9643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 Q9642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 Q9632 high card 1,020 1.64% 1 : 59.8 1.64%