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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 AKs AKQ86 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ86 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT86 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQ986 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQ876 flush 4 0.01% 1 : 15515 99.97%
6 A5s AQ865 flush 4 0.01% 1 : 15515 99.97%
7 A4s AQ864 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQ863 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQ862 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ86 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT86 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQ986 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQ876 flush 4 0.01% 1 : 15515 99.92%
14 K5s KQ865 flush 4 0.01% 1 : 15515 99.92%
15 K4s KQ864 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQ863 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQ862 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT86 flush 4 0.01% 1 : 15515 99.89%
19 J9s QJ986 flush 4 0.01% 1 : 15515 99.88%
20 J7s QJ876 flush 4 0.01% 1 : 15515 99.88%
21 J5s QJ865 flush 4 0.01% 1 : 15515 99.87%
22 J4s QJ864 flush 4 0.01% 1 : 15515 99.86%
23 J3s QJ863 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJ862 flush 4 0.01% 1 : 15515 99.85%
25 T9s QT986 flush 4 0.01% 1 : 15515 99.85%
26 T7s QT876 flush 4 0.01% 1 : 15515 99.84%
27 T5s QT865 flush 4 0.01% 1 : 15515 99.83%
28 T4s QT864 flush 4 0.01% 1 : 15515 99.83%
29 T3s QT863 flush 4 0.01% 1 : 15515 99.82%
30 T2s QT862 flush 4 0.01% 1 : 15515 99.81%
31 97s Q9876 flush 4 0.01% 1 : 15515 99.81%
32 95s Q9865 flush 4 0.01% 1 : 15515 99.80%
33 94s Q9864 flush 4 0.01% 1 : 15515 99.79%
34 93s Q9863 flush 4 0.01% 1 : 15515 99.79%
35 92s Q9862 flush 4 0.01% 1 : 15515 99.78%
36 75s Q8765 flush 4 0.01% 1 : 15515 99.77%
37 74s Q8764 flush 4 0.01% 1 : 15515 99.77%
38 73s Q8763 flush 4 0.01% 1 : 15515 99.76%
39 72s Q8762 flush 4 0.01% 1 : 15515 99.76%
40 54s Q8654 flush 4 0.01% 1 : 15515 99.75%
41 53s Q8653 flush 4 0.01% 1 : 15515 99.74%
42 52s Q8652 flush 4 0.01% 1 : 15515 99.74%
43 43s Q8643 flush 4 0.01% 1 : 15515 99.73%
44 42s Q8642 flush 4 0.01% 1 : 15515 99.72%
45 32s Q8632 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ86 three of a kind 64 0.10% 1 : 969 99.71%
47 88 Q8886 three of a kind 64 0.10% 1 : 969 99.61%
48 66 Q8666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q8 QQ886 two pairs 144 0.23% 1 : 430 99.40%
50 Q6 QQ866 two pairs 144 0.23% 1 : 430 99.17%
51 86 Q8866 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ86 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ86 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ86 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ86 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ86 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT86 one pair 384 0.62% 1 : 161 95.61%
58 Q9 QQ986 one pair 384 0.62% 1 : 161 94.99%
59 Q7 QQ876 one pair 384 0.62% 1 : 161 94.37%
60 Q5 QQ865 one pair 384 0.62% 1 : 161 93.75%
61 Q4 QQ864 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQ863 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQ862 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ86 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT86 one pair 384 0.62% 1 : 161 90.66%
66 99 Q9986 one pair 384 0.62% 1 : 161 90.04%
67 A8 AQ886 one pair 384 0.62% 1 : 161 89.42%
68 K8 KQ886 one pair 384 0.62% 1 : 161 88.81%
69 J8 QJ886 one pair 384 0.62% 1 : 161 88.19%
70 T8 QT886 one pair 384 0.62% 1 : 161 87.57%
71 98 Q9886 one pair 384 0.62% 1 : 161 86.95%
72 87 Q8876 one pair 384 0.62% 1 : 161 86.33%
73 85 Q8865 one pair 384 0.62% 1 : 161 85.71%
74 84 Q8864 one pair 384 0.62% 1 : 161 85.09%
75 83 Q8863 one pair 384 0.62% 1 : 161 84.47%
76 82 Q8862 one pair 384 0.62% 1 : 161 83.86%
77 77 Q8776 one pair 384 0.62% 1 : 161 83.24%
78 A6 AQ866 one pair 384 0.62% 1 : 161 82.62%
79 K6 KQ866 one pair 384 0.62% 1 : 161 82.00%
80 J6 QJ866 one pair 384 0.62% 1 : 161 81.38%
81 T6 QT866 one pair 384 0.62% 1 : 161 80.76%
82 96 Q9866 one pair 384 0.62% 1 : 161 80.14%
83 76 Q8766 one pair 384 0.62% 1 : 161 79.52%
84 65 Q8665 one pair 384 0.62% 1 : 161 78.91%
85 64 Q8664 one pair 384 0.62% 1 : 161 78.29%
86 63 Q8663 one pair 384 0.62% 1 : 161 77.67%
87 62 Q8662 one pair 384 0.62% 1 : 161 77.05%
88 55 Q8655 one pair 384 0.62% 1 : 161 76.43%
89 44 Q8644 one pair 384 0.62% 1 : 161 75.81%
90 33 Q8633 one pair 384 0.62% 1 : 161 75.19%
91 22 Q8622 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ86 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ86 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT86 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQ986 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQ876 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AQ865 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AQ864 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQ863 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQ862 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ86 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT86 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQ986 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQ876 high card 1,020 1.64% 1 : 59.8 54.23%
105 K5 KQ865 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KQ864 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQ863 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQ862 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT86 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 QJ986 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 QJ876 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 QJ865 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 QJ864 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 QJ863 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJ862 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 QT986 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 QT876 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 QT865 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 QT864 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 QT863 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 QT862 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 Q9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 95 Q9865 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 Q9864 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 Q9863 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 Q9862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 Q8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 Q8764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 Q8763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 Q8762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 Q8654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 Q8653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 Q8652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 Q8643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 Q8642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 Q8632 high card 1,020 1.64% 1 : 59.8 1.64%