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 AKJ86 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ86 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT86 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ986 flush 4 0.01% 1 : 15515 99.98%
5 A7s AJ876 flush 4 0.01% 1 : 15515 99.97%
6 A5s AJ865 flush 4 0.01% 1 : 15515 99.97%
7 A4s AJ864 flush 4 0.01% 1 : 15515 99.96%
8 A3s AJ863 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJ862 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ86 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT86 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ986 flush 4 0.01% 1 : 15515 99.93%
13 K7s KJ876 flush 4 0.01% 1 : 15515 99.92%
14 K5s KJ865 flush 4 0.01% 1 : 15515 99.92%
15 K4s KJ864 flush 4 0.01% 1 : 15515 99.91%
16 K3s KJ863 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJ862 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT86 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ986 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QJ876 flush 4 0.01% 1 : 15515 99.88%
21 Q5s QJ865 flush 4 0.01% 1 : 15515 99.87%
22 Q4s QJ864 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QJ863 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJ862 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT986 flush 4 0.01% 1 : 15515 99.85%
26 T7s JT876 flush 4 0.01% 1 : 15515 99.84%
27 T5s JT865 flush 4 0.01% 1 : 15515 99.83%
28 T4s JT864 flush 4 0.01% 1 : 15515 99.83%
29 T3s JT863 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT862 flush 4 0.01% 1 : 15515 99.81%
31 97s J9876 flush 4 0.01% 1 : 15515 99.81%
32 95s J9865 flush 4 0.01% 1 : 15515 99.80%
33 94s J9864 flush 4 0.01% 1 : 15515 99.79%
34 93s J9863 flush 4 0.01% 1 : 15515 99.79%
35 92s J9862 flush 4 0.01% 1 : 15515 99.78%
36 75s J8765 flush 4 0.01% 1 : 15515 99.77%
37 74s J8764 flush 4 0.01% 1 : 15515 99.77%
38 73s J8763 flush 4 0.01% 1 : 15515 99.76%
39 72s J8762 flush 4 0.01% 1 : 15515 99.76%
40 54s J8654 flush 4 0.01% 1 : 15515 99.75%
41 53s J8653 flush 4 0.01% 1 : 15515 99.74%
42 52s J8652 flush 4 0.01% 1 : 15515 99.74%
43 43s J8643 flush 4 0.01% 1 : 15515 99.73%
44 42s J8642 flush 4 0.01% 1 : 15515 99.72%
45 32s J8632 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ86 three of a kind 64 0.10% 1 : 969 99.71%
47 88 J8886 three of a kind 64 0.10% 1 : 969 99.61%
48 66 J8666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J8 JJ886 two pairs 144 0.23% 1 : 430 99.40%
50 J6 JJ866 two pairs 144 0.23% 1 : 430 99.17%
51 86 J8866 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ86 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ86 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ86 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ86 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ86 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ86 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT86 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ986 one pair 384 0.62% 1 : 161 94.37%
60 J7 JJ876 one pair 384 0.62% 1 : 161 93.75%
61 J5 JJ865 one pair 384 0.62% 1 : 161 93.14%
62 J4 JJ864 one pair 384 0.62% 1 : 161 92.52%
63 J3 JJ863 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJ862 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT86 one pair 384 0.62% 1 : 161 90.66%
66 99 J9986 one pair 384 0.62% 1 : 161 90.04%
67 A8 AJ886 one pair 384 0.62% 1 : 161 89.42%
68 K8 KJ886 one pair 384 0.62% 1 : 161 88.81%
69 Q8 QJ886 one pair 384 0.62% 1 : 161 88.19%
70 T8 JT886 one pair 384 0.62% 1 : 161 87.57%
71 98 J9886 one pair 384 0.62% 1 : 161 86.95%
72 87 J8876 one pair 384 0.62% 1 : 161 86.33%
73 85 J8865 one pair 384 0.62% 1 : 161 85.71%
74 84 J8864 one pair 384 0.62% 1 : 161 85.09%
75 83 J8863 one pair 384 0.62% 1 : 161 84.47%
76 82 J8862 one pair 384 0.62% 1 : 161 83.86%
77 77 J8776 one pair 384 0.62% 1 : 161 83.24%
78 A6 AJ866 one pair 384 0.62% 1 : 161 82.62%
79 K6 KJ866 one pair 384 0.62% 1 : 161 82.00%
80 Q6 QJ866 one pair 384 0.62% 1 : 161 81.38%
81 T6 JT866 one pair 384 0.62% 1 : 161 80.76%
82 96 J9866 one pair 384 0.62% 1 : 161 80.14%
83 76 J8766 one pair 384 0.62% 1 : 161 79.52%
84 65 J8665 one pair 384 0.62% 1 : 161 78.91%
85 64 J8664 one pair 384 0.62% 1 : 161 78.29%
86 63 J8663 one pair 384 0.62% 1 : 161 77.67%
87 62 J8662 one pair 384 0.62% 1 : 161 77.05%
88 55 J8655 one pair 384 0.62% 1 : 161 76.43%
89 44 J8644 one pair 384 0.62% 1 : 161 75.81%
90 33 J8633 one pair 384 0.62% 1 : 161 75.19%
91 22 J8622 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ86 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ86 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT86 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ986 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AJ876 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AJ865 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AJ864 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AJ863 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJ862 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ86 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT86 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ986 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KJ876 high card 1,020 1.64% 1 : 59.8 54.23%
105 K5 KJ865 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KJ864 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KJ863 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJ862 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT86 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ986 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QJ876 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q5 QJ865 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q4 QJ864 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QJ863 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJ862 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT986 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 JT876 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 JT865 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 JT864 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 JT863 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT862 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 J9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 95 J9865 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 J9864 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 J9863 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 J9862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 J8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 J8764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 J8763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 J8762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 J8654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 J8653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 J8652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 J8643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 J8642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 J8632 high card 1,020 1.64% 1 : 59.8 1.64%