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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 AKQ96 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ96 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT96 flush 4 0.01% 1 : 15515 99.99%
4 A8s AK986 flush 4 0.01% 1 : 15515 99.98%
5 A7s AK976 flush 4 0.01% 1 : 15515 99.97%
6 A5s AK965 flush 4 0.01% 1 : 15515 99.97%
7 A4s AK964 flush 4 0.01% 1 : 15515 99.96%
8 A3s AK963 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK962 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ96 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT96 flush 4 0.01% 1 : 15515 99.94%
12 Q8s KQ986 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQ976 flush 4 0.01% 1 : 15515 99.92%
14 Q5s KQ965 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQ964 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQ963 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ962 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT96 flush 4 0.01% 1 : 15515 99.89%
19 J8s KJ986 flush 4 0.01% 1 : 15515 99.88%
20 J7s KJ976 flush 4 0.01% 1 : 15515 99.88%
21 J5s KJ965 flush 4 0.01% 1 : 15515 99.87%
22 J4s KJ964 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJ963 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ962 flush 4 0.01% 1 : 15515 99.85%
25 T8s KT986 flush 4 0.01% 1 : 15515 99.85%
26 T7s KT976 flush 4 0.01% 1 : 15515 99.84%
27 T5s KT965 flush 4 0.01% 1 : 15515 99.83%
28 T4s KT964 flush 4 0.01% 1 : 15515 99.83%
29 T3s KT963 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT962 flush 4 0.01% 1 : 15515 99.81%
31 87s K9876 flush 4 0.01% 1 : 15515 99.81%
32 85s K9865 flush 4 0.01% 1 : 15515 99.80%
33 84s K9864 flush 4 0.01% 1 : 15515 99.79%
34 83s K9863 flush 4 0.01% 1 : 15515 99.79%
35 82s K9862 flush 4 0.01% 1 : 15515 99.78%
36 75s K9765 flush 4 0.01% 1 : 15515 99.77%
37 74s K9764 flush 4 0.01% 1 : 15515 99.77%
38 73s K9763 flush 4 0.01% 1 : 15515 99.76%
39 72s K9762 flush 4 0.01% 1 : 15515 99.76%
40 54s K9654 flush 4 0.01% 1 : 15515 99.75%
41 53s K9653 flush 4 0.01% 1 : 15515 99.74%
42 52s K9652 flush 4 0.01% 1 : 15515 99.74%
43 43s K9643 flush 4 0.01% 1 : 15515 99.73%
44 42s K9642 flush 4 0.01% 1 : 15515 99.72%
45 32s K9632 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK96 three of a kind 64 0.10% 1 : 969 99.71%
47 99 K9996 three of a kind 64 0.10% 1 : 969 99.61%
48 66 K9666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K9 KK996 two pairs 144 0.23% 1 : 430 99.40%
50 K6 KK966 two pairs 144 0.23% 1 : 430 99.17%
51 96 K9966 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK96 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK96 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ96 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ96 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT96 one pair 384 0.62% 1 : 161 96.23%
57 K8 KK986 one pair 384 0.62% 1 : 161 95.61%
58 K7 KK976 one pair 384 0.62% 1 : 161 94.99%
59 K5 KK965 one pair 384 0.62% 1 : 161 94.37%
60 K4 KK964 one pair 384 0.62% 1 : 161 93.75%
61 K3 KK963 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK962 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ96 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ96 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT96 one pair 384 0.62% 1 : 161 90.66%
66 A9 AK996 one pair 384 0.62% 1 : 161 90.04%
67 Q9 KQ996 one pair 384 0.62% 1 : 161 89.42%
68 J9 KJ996 one pair 384 0.62% 1 : 161 88.81%
69 T9 KT996 one pair 384 0.62% 1 : 161 88.19%
70 98 K9986 one pair 384 0.62% 1 : 161 87.57%
71 97 K9976 one pair 384 0.62% 1 : 161 86.95%
72 95 K9965 one pair 384 0.62% 1 : 161 86.33%
73 94 K9964 one pair 384 0.62% 1 : 161 85.71%
74 93 K9963 one pair 384 0.62% 1 : 161 85.09%
75 92 K9962 one pair 384 0.62% 1 : 161 84.47%
76 88 K9886 one pair 384 0.62% 1 : 161 83.86%
77 77 K9776 one pair 384 0.62% 1 : 161 83.24%
78 A6 AK966 one pair 384 0.62% 1 : 161 82.62%
79 Q6 KQ966 one pair 384 0.62% 1 : 161 82.00%
80 J6 KJ966 one pair 384 0.62% 1 : 161 81.38%
81 T6 KT966 one pair 384 0.62% 1 : 161 80.76%
82 86 K9866 one pair 384 0.62% 1 : 161 80.14%
83 76 K9766 one pair 384 0.62% 1 : 161 79.52%
84 65 K9665 one pair 384 0.62% 1 : 161 78.91%
85 64 K9664 one pair 384 0.62% 1 : 161 78.29%
86 63 K9663 one pair 384 0.62% 1 : 161 77.67%
87 62 K9662 one pair 384 0.62% 1 : 161 77.05%
88 55 K9655 one pair 384 0.62% 1 : 161 76.43%
89 44 K9644 one pair 384 0.62% 1 : 161 75.81%
90 33 K9633 one pair 384 0.62% 1 : 161 75.19%
91 22 K9622 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ96 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ96 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT96 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AK986 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AK976 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AK965 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AK964 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AK963 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK962 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ96 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT96 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 KQ986 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQ976 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 KQ965 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQ964 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQ963 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ962 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT96 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 KJ986 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 KJ976 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 KJ965 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 KJ964 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJ963 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ962 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 KT986 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 KT976 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 KT965 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 KT964 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 KT963 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT962 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 K9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 K9865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 K9864 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 K9863 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 K9862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 K9765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 K9764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 K9763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 K9762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 K9654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 K9653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 K9652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 K9643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 K9642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 K9632 high card 1,020 1.64% 1 : 59.8 1.64%