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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 KQs AKQ86 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ86 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT86 flush 4 0.01% 1 : 15515 99.99%
4 K9s AK986 flush 4 0.01% 1 : 15515 99.98%
5 K7s AK876 flush 4 0.01% 1 : 15515 99.97%
6 K5s AK865 flush 4 0.01% 1 : 15515 99.97%
7 K4s AK864 flush 4 0.01% 1 : 15515 99.96%
8 K3s AK863 flush 4 0.01% 1 : 15515 99.95%
9 K2s AK862 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ86 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT86 flush 4 0.01% 1 : 15515 99.94%
12 Q9s AQ986 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQ876 flush 4 0.01% 1 : 15515 99.92%
14 Q5s AQ865 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQ864 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQ863 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQ862 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT86 flush 4 0.01% 1 : 15515 99.89%
19 J9s AJ986 flush 4 0.01% 1 : 15515 99.88%
20 J7s AJ876 flush 4 0.01% 1 : 15515 99.88%
21 J5s AJ865 flush 4 0.01% 1 : 15515 99.87%
22 J4s AJ864 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJ863 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJ862 flush 4 0.01% 1 : 15515 99.85%
25 T9s AT986 flush 4 0.01% 1 : 15515 99.85%
26 T7s AT876 flush 4 0.01% 1 : 15515 99.84%
27 T5s AT865 flush 4 0.01% 1 : 15515 99.83%
28 T4s AT864 flush 4 0.01% 1 : 15515 99.83%
29 T3s AT863 flush 4 0.01% 1 : 15515 99.82%
30 T2s AT862 flush 4 0.01% 1 : 15515 99.81%
31 97s A9876 flush 4 0.01% 1 : 15515 99.81%
32 95s A9865 flush 4 0.01% 1 : 15515 99.80%
33 94s A9864 flush 4 0.01% 1 : 15515 99.79%
34 93s A9863 flush 4 0.01% 1 : 15515 99.79%
35 92s A9862 flush 4 0.01% 1 : 15515 99.78%
36 75s A8765 flush 4 0.01% 1 : 15515 99.77%
37 74s A8764 flush 4 0.01% 1 : 15515 99.77%
38 73s A8763 flush 4 0.01% 1 : 15515 99.76%
39 72s A8762 flush 4 0.01% 1 : 15515 99.76%
40 54s A8654 flush 4 0.01% 1 : 15515 99.75%
41 53s A8653 flush 4 0.01% 1 : 15515 99.74%
42 52s A8652 flush 4 0.01% 1 : 15515 99.74%
43 43s A8643 flush 4 0.01% 1 : 15515 99.73%
44 42s A8642 flush 4 0.01% 1 : 15515 99.72%
45 32s A8632 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA86 three of a kind 64 0.10% 1 : 969 99.71%
47 88 A8886 three of a kind 64 0.10% 1 : 969 99.61%
48 66 A8666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A8 AA886 two pairs 144 0.23% 1 : 430 99.40%
50 A6 AA866 two pairs 144 0.23% 1 : 430 99.17%
51 86 A8866 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK86 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ86 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ86 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT86 one pair 384 0.62% 1 : 161 96.85%
56 A9 AA986 one pair 384 0.62% 1 : 161 96.23%
57 A7 AA876 one pair 384 0.62% 1 : 161 95.61%
58 A5 AA865 one pair 384 0.62% 1 : 161 94.99%
59 A4 AA864 one pair 384 0.62% 1 : 161 94.37%
60 A3 AA863 one pair 384 0.62% 1 : 161 93.75%
61 A2 AA862 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK86 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ86 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ86 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT86 one pair 384 0.62% 1 : 161 90.66%
66 99 A9986 one pair 384 0.62% 1 : 161 90.04%
67 K8 AK886 one pair 384 0.62% 1 : 161 89.42%
68 Q8 AQ886 one pair 384 0.62% 1 : 161 88.81%
69 J8 AJ886 one pair 384 0.62% 1 : 161 88.19%
70 T8 AT886 one pair 384 0.62% 1 : 161 87.57%
71 98 A9886 one pair 384 0.62% 1 : 161 86.95%
72 87 A8876 one pair 384 0.62% 1 : 161 86.33%
73 85 A8865 one pair 384 0.62% 1 : 161 85.71%
74 84 A8864 one pair 384 0.62% 1 : 161 85.09%
75 83 A8863 one pair 384 0.62% 1 : 161 84.47%
76 82 A8862 one pair 384 0.62% 1 : 161 83.86%
77 77 A8776 one pair 384 0.62% 1 : 161 83.24%
78 K6 AK866 one pair 384 0.62% 1 : 161 82.62%
79 Q6 AQ866 one pair 384 0.62% 1 : 161 82.00%
80 J6 AJ866 one pair 384 0.62% 1 : 161 81.38%
81 T6 AT866 one pair 384 0.62% 1 : 161 80.76%
82 96 A9866 one pair 384 0.62% 1 : 161 80.14%
83 76 A8766 one pair 384 0.62% 1 : 161 79.52%
84 65 A8665 one pair 384 0.62% 1 : 161 78.91%
85 64 A8664 one pair 384 0.62% 1 : 161 78.29%
86 63 A8663 one pair 384 0.62% 1 : 161 77.67%
87 62 A8662 one pair 384 0.62% 1 : 161 77.05%
88 55 A8655 one pair 384 0.62% 1 : 161 76.43%
89 44 A8644 one pair 384 0.62% 1 : 161 75.81%
90 33 A8633 one pair 384 0.62% 1 : 161 75.19%
91 22 A8622 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ86 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ86 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT86 high card 1,020 1.64% 1 : 59.8 70.67%
95 K9 AK986 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AK876 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AK865 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AK864 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AK863 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AK862 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ86 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT86 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 AQ986 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQ876 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 AQ865 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQ864 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQ863 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQ862 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT86 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 AJ986 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 AJ876 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 AJ865 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 AJ864 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJ863 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJ862 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 AT986 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 AT876 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 AT865 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 AT864 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 AT863 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 AT862 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 A9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 95 A9865 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 A9864 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 A9863 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 A9862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 A8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 A8764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 A8763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 A8762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 A8654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 A8653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 A8652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 A8643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 A8642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 A8632 high card 1,020 1.64% 1 : 59.8 1.64%