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 AKQ86 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ86 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT86 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK986 flush 4 0.01% 1 : 15515 99.98%
5 A7s AK876 flush 4 0.01% 1 : 15515 99.97%
6 A5s AK865 flush 4 0.01% 1 : 15515 99.97%
7 A4s AK864 flush 4 0.01% 1 : 15515 99.96%
8 A3s AK863 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK862 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ86 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT86 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ986 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQ876 flush 4 0.01% 1 : 15515 99.92%
14 Q5s KQ865 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQ864 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQ863 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ862 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT86 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ986 flush 4 0.01% 1 : 15515 99.88%
20 J7s KJ876 flush 4 0.01% 1 : 15515 99.88%
21 J5s KJ865 flush 4 0.01% 1 : 15515 99.87%
22 J4s KJ864 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJ863 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ862 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT986 flush 4 0.01% 1 : 15515 99.85%
26 T7s KT876 flush 4 0.01% 1 : 15515 99.84%
27 T5s KT865 flush 4 0.01% 1 : 15515 99.83%
28 T4s KT864 flush 4 0.01% 1 : 15515 99.83%
29 T3s KT863 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT862 flush 4 0.01% 1 : 15515 99.81%
31 97s K9876 flush 4 0.01% 1 : 15515 99.81%
32 95s K9865 flush 4 0.01% 1 : 15515 99.80%
33 94s K9864 flush 4 0.01% 1 : 15515 99.79%
34 93s K9863 flush 4 0.01% 1 : 15515 99.79%
35 92s K9862 flush 4 0.01% 1 : 15515 99.78%
36 75s K8765 flush 4 0.01% 1 : 15515 99.77%
37 74s K8764 flush 4 0.01% 1 : 15515 99.77%
38 73s K8763 flush 4 0.01% 1 : 15515 99.76%
39 72s K8762 flush 4 0.01% 1 : 15515 99.76%
40 54s K8654 flush 4 0.01% 1 : 15515 99.75%
41 53s K8653 flush 4 0.01% 1 : 15515 99.74%
42 52s K8652 flush 4 0.01% 1 : 15515 99.74%
43 43s K8643 flush 4 0.01% 1 : 15515 99.73%
44 42s K8642 flush 4 0.01% 1 : 15515 99.72%
45 32s K8632 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK86 three of a kind 64 0.10% 1 : 969 99.71%
47 88 K8886 three of a kind 64 0.10% 1 : 969 99.61%
48 66 K8666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K8 KK886 two pairs 144 0.23% 1 : 430 99.40%
50 K6 KK866 two pairs 144 0.23% 1 : 430 99.17%
51 86 K8866 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK86 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK86 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ86 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ86 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT86 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK986 one pair 384 0.62% 1 : 161 95.61%
58 K7 KK876 one pair 384 0.62% 1 : 161 94.99%
59 K5 KK865 one pair 384 0.62% 1 : 161 94.37%
60 K4 KK864 one pair 384 0.62% 1 : 161 93.75%
61 K3 KK863 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK862 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ86 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ86 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT86 one pair 384 0.62% 1 : 161 90.66%
66 99 K9986 one pair 384 0.62% 1 : 161 90.04%
67 A8 AK886 one pair 384 0.62% 1 : 161 89.42%
68 Q8 KQ886 one pair 384 0.62% 1 : 161 88.81%
69 J8 KJ886 one pair 384 0.62% 1 : 161 88.19%
70 T8 KT886 one pair 384 0.62% 1 : 161 87.57%
71 98 K9886 one pair 384 0.62% 1 : 161 86.95%
72 87 K8876 one pair 384 0.62% 1 : 161 86.33%
73 85 K8865 one pair 384 0.62% 1 : 161 85.71%
74 84 K8864 one pair 384 0.62% 1 : 161 85.09%
75 83 K8863 one pair 384 0.62% 1 : 161 84.47%
76 82 K8862 one pair 384 0.62% 1 : 161 83.86%
77 77 K8776 one pair 384 0.62% 1 : 161 83.24%
78 A6 AK866 one pair 384 0.62% 1 : 161 82.62%
79 Q6 KQ866 one pair 384 0.62% 1 : 161 82.00%
80 J6 KJ866 one pair 384 0.62% 1 : 161 81.38%
81 T6 KT866 one pair 384 0.62% 1 : 161 80.76%
82 96 K9866 one pair 384 0.62% 1 : 161 80.14%
83 76 K8766 one pair 384 0.62% 1 : 161 79.52%
84 65 K8665 one pair 384 0.62% 1 : 161 78.91%
85 64 K8664 one pair 384 0.62% 1 : 161 78.29%
86 63 K8663 one pair 384 0.62% 1 : 161 77.67%
87 62 K8662 one pair 384 0.62% 1 : 161 77.05%
88 55 K8655 one pair 384 0.62% 1 : 161 76.43%
89 44 K8644 one pair 384 0.62% 1 : 161 75.81%
90 33 K8633 one pair 384 0.62% 1 : 161 75.19%
91 22 K8622 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ86 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ86 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT86 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK986 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AK876 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AK865 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AK864 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AK863 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK862 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ86 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT86 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ986 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQ876 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 KQ865 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQ864 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQ863 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ862 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT86 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ986 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 KJ876 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 KJ865 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 KJ864 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJ863 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ862 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT986 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 KT876 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 KT865 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 KT864 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 KT863 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT862 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 K9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 95 K9865 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 K9864 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 K9863 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 K9862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 K8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 K8764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 K8763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 K8762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 K8654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 K8653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 K8652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 K8643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 K8642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 K8632 high card 1,020 1.64% 1 : 59.8 1.64%