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 AKJ72 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ72 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT72 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ972 flush 4 0.01% 1 : 15515 99.98%
5 A8s AJ872 flush 4 0.01% 1 : 15515 99.97%
6 A6s AJ762 flush 4 0.01% 1 : 15515 99.97%
7 A5s AJ752 flush 4 0.01% 1 : 15515 99.96%
8 A4s AJ742 flush 4 0.01% 1 : 15515 99.95%
9 A3s AJ732 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ72 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT72 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ972 flush 4 0.01% 1 : 15515 99.93%
13 K8s KJ872 flush 4 0.01% 1 : 15515 99.92%
14 K6s KJ762 flush 4 0.01% 1 : 15515 99.92%
15 K5s KJ752 flush 4 0.01% 1 : 15515 99.91%
16 K4s KJ742 flush 4 0.01% 1 : 15515 99.90%
17 K3s KJ732 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT72 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ972 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QJ872 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJ762 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJ752 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QJ742 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QJ732 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT972 flush 4 0.01% 1 : 15515 99.85%
26 T8s JT872 flush 4 0.01% 1 : 15515 99.84%
27 T6s JT762 flush 4 0.01% 1 : 15515 99.83%
28 T5s JT752 flush 4 0.01% 1 : 15515 99.83%
29 T4s JT742 flush 4 0.01% 1 : 15515 99.82%
30 T3s JT732 flush 4 0.01% 1 : 15515 99.81%
31 98s J9872 flush 4 0.01% 1 : 15515 99.81%
32 96s J9762 flush 4 0.01% 1 : 15515 99.80%
33 95s J9752 flush 4 0.01% 1 : 15515 99.79%
34 94s J9742 flush 4 0.01% 1 : 15515 99.79%
35 93s J9732 flush 4 0.01% 1 : 15515 99.78%
36 86s J8762 flush 4 0.01% 1 : 15515 99.77%
37 85s J8752 flush 4 0.01% 1 : 15515 99.77%
38 84s J8742 flush 4 0.01% 1 : 15515 99.76%
39 83s J8732 flush 4 0.01% 1 : 15515 99.76%
40 65s J7652 flush 4 0.01% 1 : 15515 99.75%
41 64s J7642 flush 4 0.01% 1 : 15515 99.74%
42 63s J7632 flush 4 0.01% 1 : 15515 99.74%
43 54s J7542 flush 4 0.01% 1 : 15515 99.73%
44 53s J7532 flush 4 0.01% 1 : 15515 99.72%
45 43s J7432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ72 three of a kind 64 0.10% 1 : 969 99.71%
47 77 J7772 three of a kind 64 0.10% 1 : 969 99.61%
48 22 J7222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J7 JJ772 two pairs 144 0.23% 1 : 430 99.40%
50 J2 JJ722 two pairs 144 0.23% 1 : 430 99.17%
51 72 J7722 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ72 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ72 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ72 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ72 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ72 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ72 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT72 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ972 one pair 384 0.62% 1 : 161 94.37%
60 J8 JJ872 one pair 384 0.62% 1 : 161 93.75%
61 J6 JJ762 one pair 384 0.62% 1 : 161 93.14%
62 J5 JJ752 one pair 384 0.62% 1 : 161 92.52%
63 J4 JJ742 one pair 384 0.62% 1 : 161 91.90%
64 J3 JJ732 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT72 one pair 384 0.62% 1 : 161 90.66%
66 99 J9972 one pair 384 0.62% 1 : 161 90.04%
67 88 J8872 one pair 384 0.62% 1 : 161 89.42%
68 A7 AJ772 one pair 384 0.62% 1 : 161 88.81%
69 K7 KJ772 one pair 384 0.62% 1 : 161 88.19%
70 Q7 QJ772 one pair 384 0.62% 1 : 161 87.57%
71 T7 JT772 one pair 384 0.62% 1 : 161 86.95%
72 97 J9772 one pair 384 0.62% 1 : 161 86.33%
73 87 J8772 one pair 384 0.62% 1 : 161 85.71%
74 76 J7762 one pair 384 0.62% 1 : 161 85.09%
75 75 J7752 one pair 384 0.62% 1 : 161 84.47%
76 74 J7742 one pair 384 0.62% 1 : 161 83.86%
77 73 J7732 one pair 384 0.62% 1 : 161 83.24%
78 66 J7662 one pair 384 0.62% 1 : 161 82.62%
79 55 J7552 one pair 384 0.62% 1 : 161 82.00%
80 44 J7442 one pair 384 0.62% 1 : 161 81.38%
81 33 J7332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AJ722 one pair 384 0.62% 1 : 161 80.14%
83 K2 KJ722 one pair 384 0.62% 1 : 161 79.52%
84 Q2 QJ722 one pair 384 0.62% 1 : 161 78.91%
85 T2 JT722 one pair 384 0.62% 1 : 161 78.29%
86 92 J9722 one pair 384 0.62% 1 : 161 77.67%
87 82 J8722 one pair 384 0.62% 1 : 161 77.05%
88 62 J7622 one pair 384 0.62% 1 : 161 76.43%
89 52 J7522 one pair 384 0.62% 1 : 161 75.81%
90 42 J7422 one pair 384 0.62% 1 : 161 75.19%
91 32 J7322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ72 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ72 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT72 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ972 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AJ872 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AJ762 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AJ752 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AJ742 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AJ732 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ72 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT72 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ972 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KJ872 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KJ762 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KJ752 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KJ742 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KJ732 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT72 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ972 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QJ872 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJ762 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJ752 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QJ742 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QJ732 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT972 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 JT872 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 JT762 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 JT752 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 JT742 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 JT732 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 J9872 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 J9762 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 J9752 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 J9742 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 J9732 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 J8762 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 J8752 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 J8742 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 J8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 J7652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 J7642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 J7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 J7542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 J7532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 J7432 high card 1,020 1.64% 1 : 59.8 1.64%