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 AKJ96 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ96 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT96 flush 4 0.01% 1 : 15515 99.99%
4 A8s AJ986 flush 4 0.01% 1 : 15515 99.98%
5 A7s AJ976 flush 4 0.01% 1 : 15515 99.97%
6 A5s AJ965 flush 4 0.01% 1 : 15515 99.97%
7 A4s AJ964 flush 4 0.01% 1 : 15515 99.96%
8 A3s AJ963 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJ962 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ96 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT96 flush 4 0.01% 1 : 15515 99.94%
12 K8s KJ986 flush 4 0.01% 1 : 15515 99.93%
13 K7s KJ976 flush 4 0.01% 1 : 15515 99.92%
14 K5s KJ965 flush 4 0.01% 1 : 15515 99.92%
15 K4s KJ964 flush 4 0.01% 1 : 15515 99.91%
16 K3s KJ963 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJ962 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT96 flush 4 0.01% 1 : 15515 99.89%
19 Q8s QJ986 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QJ976 flush 4 0.01% 1 : 15515 99.88%
21 Q5s QJ965 flush 4 0.01% 1 : 15515 99.87%
22 Q4s QJ964 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QJ963 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJ962 flush 4 0.01% 1 : 15515 99.85%
25 T8s JT986 flush 4 0.01% 1 : 15515 99.85%
26 T7s JT976 flush 4 0.01% 1 : 15515 99.84%
27 T5s JT965 flush 4 0.01% 1 : 15515 99.83%
28 T4s JT964 flush 4 0.01% 1 : 15515 99.83%
29 T3s JT963 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT962 flush 4 0.01% 1 : 15515 99.81%
31 87s J9876 flush 4 0.01% 1 : 15515 99.81%
32 85s J9865 flush 4 0.01% 1 : 15515 99.80%
33 84s J9864 flush 4 0.01% 1 : 15515 99.79%
34 83s J9863 flush 4 0.01% 1 : 15515 99.79%
35 82s J9862 flush 4 0.01% 1 : 15515 99.78%
36 75s J9765 flush 4 0.01% 1 : 15515 99.77%
37 74s J9764 flush 4 0.01% 1 : 15515 99.77%
38 73s J9763 flush 4 0.01% 1 : 15515 99.76%
39 72s J9762 flush 4 0.01% 1 : 15515 99.76%
40 54s J9654 flush 4 0.01% 1 : 15515 99.75%
41 53s J9653 flush 4 0.01% 1 : 15515 99.74%
42 52s J9652 flush 4 0.01% 1 : 15515 99.74%
43 43s J9643 flush 4 0.01% 1 : 15515 99.73%
44 42s J9642 flush 4 0.01% 1 : 15515 99.72%
45 32s J9632 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ96 three of a kind 64 0.10% 1 : 969 99.71%
47 99 J9996 three of a kind 64 0.10% 1 : 969 99.61%
48 66 J9666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J9 JJ996 two pairs 144 0.23% 1 : 430 99.40%
50 J6 JJ966 two pairs 144 0.23% 1 : 430 99.17%
51 96 J9966 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ96 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ96 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ96 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ96 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ96 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ96 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT96 one pair 384 0.62% 1 : 161 94.99%
59 J8 JJ986 one pair 384 0.62% 1 : 161 94.37%
60 J7 JJ976 one pair 384 0.62% 1 : 161 93.75%
61 J5 JJ965 one pair 384 0.62% 1 : 161 93.14%
62 J4 JJ964 one pair 384 0.62% 1 : 161 92.52%
63 J3 JJ963 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJ962 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT96 one pair 384 0.62% 1 : 161 90.66%
66 A9 AJ996 one pair 384 0.62% 1 : 161 90.04%
67 K9 KJ996 one pair 384 0.62% 1 : 161 89.42%
68 Q9 QJ996 one pair 384 0.62% 1 : 161 88.81%
69 T9 JT996 one pair 384 0.62% 1 : 161 88.19%
70 98 J9986 one pair 384 0.62% 1 : 161 87.57%
71 97 J9976 one pair 384 0.62% 1 : 161 86.95%
72 95 J9965 one pair 384 0.62% 1 : 161 86.33%
73 94 J9964 one pair 384 0.62% 1 : 161 85.71%
74 93 J9963 one pair 384 0.62% 1 : 161 85.09%
75 92 J9962 one pair 384 0.62% 1 : 161 84.47%
76 88 J9886 one pair 384 0.62% 1 : 161 83.86%
77 77 J9776 one pair 384 0.62% 1 : 161 83.24%
78 A6 AJ966 one pair 384 0.62% 1 : 161 82.62%
79 K6 KJ966 one pair 384 0.62% 1 : 161 82.00%
80 Q6 QJ966 one pair 384 0.62% 1 : 161 81.38%
81 T6 JT966 one pair 384 0.62% 1 : 161 80.76%
82 86 J9866 one pair 384 0.62% 1 : 161 80.14%
83 76 J9766 one pair 384 0.62% 1 : 161 79.52%
84 65 J9665 one pair 384 0.62% 1 : 161 78.91%
85 64 J9664 one pair 384 0.62% 1 : 161 78.29%
86 63 J9663 one pair 384 0.62% 1 : 161 77.67%
87 62 J9662 one pair 384 0.62% 1 : 161 77.05%
88 55 J9655 one pair 384 0.62% 1 : 161 76.43%
89 44 J9644 one pair 384 0.62% 1 : 161 75.81%
90 33 J9633 one pair 384 0.62% 1 : 161 75.19%
91 22 J9622 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ96 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ96 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT96 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AJ986 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AJ976 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AJ965 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AJ964 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AJ963 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJ962 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ96 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT96 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KJ986 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KJ976 high card 1,020 1.64% 1 : 59.8 54.23%
105 K5 KJ965 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KJ964 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KJ963 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJ962 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT96 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q8 QJ986 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QJ976 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q5 QJ965 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q4 QJ964 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QJ963 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJ962 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 JT986 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 JT976 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 JT965 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 JT964 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 JT963 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT962 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 J9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 J9865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 J9864 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 J9863 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 J9862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 J9765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 J9764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 J9763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 J9762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 J9654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 J9653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 J9652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 J9643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 J9642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 J9632 high card 1,020 1.64% 1 : 59.8 1.64%