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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 AKQ87 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ87 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT87 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQ987 flush 4 0.01% 1 : 15515 99.98%
5 A6s AQ876 flush 4 0.01% 1 : 15515 99.97%
6 A5s AQ875 flush 4 0.01% 1 : 15515 99.97%
7 A4s AQ874 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQ873 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQ872 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ87 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT87 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQ987 flush 4 0.01% 1 : 15515 99.93%
13 K6s KQ876 flush 4 0.01% 1 : 15515 99.92%
14 K5s KQ875 flush 4 0.01% 1 : 15515 99.92%
15 K4s KQ874 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQ873 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQ872 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT87 flush 4 0.01% 1 : 15515 99.89%
19 J9s QJ987 flush 4 0.01% 1 : 15515 99.88%
20 J6s QJ876 flush 4 0.01% 1 : 15515 99.88%
21 J5s QJ875 flush 4 0.01% 1 : 15515 99.87%
22 J4s QJ874 flush 4 0.01% 1 : 15515 99.86%
23 J3s QJ873 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJ872 flush 4 0.01% 1 : 15515 99.85%
25 T9s QT987 flush 4 0.01% 1 : 15515 99.85%
26 T6s QT876 flush 4 0.01% 1 : 15515 99.84%
27 T5s QT875 flush 4 0.01% 1 : 15515 99.83%
28 T4s QT874 flush 4 0.01% 1 : 15515 99.83%
29 T3s QT873 flush 4 0.01% 1 : 15515 99.82%
30 T2s QT872 flush 4 0.01% 1 : 15515 99.81%
31 96s Q9876 flush 4 0.01% 1 : 15515 99.81%
32 95s Q9875 flush 4 0.01% 1 : 15515 99.80%
33 94s Q9874 flush 4 0.01% 1 : 15515 99.79%
34 93s Q9873 flush 4 0.01% 1 : 15515 99.79%
35 92s Q9872 flush 4 0.01% 1 : 15515 99.78%
36 65s Q8765 flush 4 0.01% 1 : 15515 99.77%
37 64s Q8764 flush 4 0.01% 1 : 15515 99.77%
38 63s Q8763 flush 4 0.01% 1 : 15515 99.76%
39 62s Q8762 flush 4 0.01% 1 : 15515 99.76%
40 54s Q8754 flush 4 0.01% 1 : 15515 99.75%
41 53s Q8753 flush 4 0.01% 1 : 15515 99.74%
42 52s Q8752 flush 4 0.01% 1 : 15515 99.74%
43 43s Q8743 flush 4 0.01% 1 : 15515 99.73%
44 42s Q8742 flush 4 0.01% 1 : 15515 99.72%
45 32s Q8732 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ87 three of a kind 64 0.10% 1 : 969 99.71%
47 88 Q8887 three of a kind 64 0.10% 1 : 969 99.61%
48 77 Q8777 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q8 QQ887 two pairs 144 0.23% 1 : 430 99.40%
50 Q7 QQ877 two pairs 144 0.23% 1 : 430 99.17%
51 87 Q8877 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ87 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ87 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ87 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ87 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ87 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT87 one pair 384 0.62% 1 : 161 95.61%
58 Q9 QQ987 one pair 384 0.62% 1 : 161 94.99%
59 Q6 QQ876 one pair 384 0.62% 1 : 161 94.37%
60 Q5 QQ875 one pair 384 0.62% 1 : 161 93.75%
61 Q4 QQ874 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQ873 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQ872 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ87 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT87 one pair 384 0.62% 1 : 161 90.66%
66 99 Q9987 one pair 384 0.62% 1 : 161 90.04%
67 A8 AQ887 one pair 384 0.62% 1 : 161 89.42%
68 K8 KQ887 one pair 384 0.62% 1 : 161 88.81%
69 J8 QJ887 one pair 384 0.62% 1 : 161 88.19%
70 T8 QT887 one pair 384 0.62% 1 : 161 87.57%
71 98 Q9887 one pair 384 0.62% 1 : 161 86.95%
72 86 Q8876 one pair 384 0.62% 1 : 161 86.33%
73 85 Q8875 one pair 384 0.62% 1 : 161 85.71%
74 84 Q8874 one pair 384 0.62% 1 : 161 85.09%
75 83 Q8873 one pair 384 0.62% 1 : 161 84.47%
76 82 Q8872 one pair 384 0.62% 1 : 161 83.86%
77 A7 AQ877 one pair 384 0.62% 1 : 161 83.24%
78 K7 KQ877 one pair 384 0.62% 1 : 161 82.62%
79 J7 QJ877 one pair 384 0.62% 1 : 161 82.00%
80 T7 QT877 one pair 384 0.62% 1 : 161 81.38%
81 97 Q9877 one pair 384 0.62% 1 : 161 80.76%
82 76 Q8776 one pair 384 0.62% 1 : 161 80.14%
83 75 Q8775 one pair 384 0.62% 1 : 161 79.52%
84 74 Q8774 one pair 384 0.62% 1 : 161 78.91%
85 73 Q8773 one pair 384 0.62% 1 : 161 78.29%
86 72 Q8772 one pair 384 0.62% 1 : 161 77.67%
87 66 Q8766 one pair 384 0.62% 1 : 161 77.05%
88 55 Q8755 one pair 384 0.62% 1 : 161 76.43%
89 44 Q8744 one pair 384 0.62% 1 : 161 75.81%
90 33 Q8733 one pair 384 0.62% 1 : 161 75.19%
91 22 Q8722 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ87 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ87 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT87 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQ987 high card 1,020 1.64% 1 : 59.8 69.03%
96 A6 AQ876 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AQ875 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AQ874 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQ873 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQ872 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ87 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT87 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQ987 high card 1,020 1.64% 1 : 59.8 55.88%
104 K6 KQ876 high card 1,020 1.64% 1 : 59.8 54.23%
105 K5 KQ875 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KQ874 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQ873 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQ872 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT87 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 QJ987 high card 1,020 1.64% 1 : 59.8 44.37%
111 J6 QJ876 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 QJ875 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 QJ874 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 QJ873 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJ872 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 QT987 high card 1,020 1.64% 1 : 59.8 34.51%
117 T6 QT876 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 QT875 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 QT874 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 QT873 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 QT872 high card 1,020 1.64% 1 : 59.8 26.30%
122 96 Q9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 95 Q9875 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 Q9874 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 Q9873 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 Q9872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 Q8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 Q8764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 Q8763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 Q8762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 Q8754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 Q8753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 Q8752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 Q8743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 Q8742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 Q8732 high card 1,020 1.64% 1 : 59.8 1.64%