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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 AQs AKQ87 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ87 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT87 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK987 flush 4 0.01% 1 : 15515 99.98%
5 A6s AK876 flush 4 0.01% 1 : 15515 99.97%
6 A5s AK875 flush 4 0.01% 1 : 15515 99.97%
7 A4s AK874 flush 4 0.01% 1 : 15515 99.96%
8 A3s AK873 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK872 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ87 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT87 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ987 flush 4 0.01% 1 : 15515 99.93%
13 Q6s KQ876 flush 4 0.01% 1 : 15515 99.92%
14 Q5s KQ875 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQ874 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQ873 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ872 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT87 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ987 flush 4 0.01% 1 : 15515 99.88%
20 J6s KJ876 flush 4 0.01% 1 : 15515 99.88%
21 J5s KJ875 flush 4 0.01% 1 : 15515 99.87%
22 J4s KJ874 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJ873 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ872 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT987 flush 4 0.01% 1 : 15515 99.85%
26 T6s KT876 flush 4 0.01% 1 : 15515 99.84%
27 T5s KT875 flush 4 0.01% 1 : 15515 99.83%
28 T4s KT874 flush 4 0.01% 1 : 15515 99.83%
29 T3s KT873 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT872 flush 4 0.01% 1 : 15515 99.81%
31 96s K9876 flush 4 0.01% 1 : 15515 99.81%
32 95s K9875 flush 4 0.01% 1 : 15515 99.80%
33 94s K9874 flush 4 0.01% 1 : 15515 99.79%
34 93s K9873 flush 4 0.01% 1 : 15515 99.79%
35 92s K9872 flush 4 0.01% 1 : 15515 99.78%
36 65s K8765 flush 4 0.01% 1 : 15515 99.77%
37 64s K8764 flush 4 0.01% 1 : 15515 99.77%
38 63s K8763 flush 4 0.01% 1 : 15515 99.76%
39 62s K8762 flush 4 0.01% 1 : 15515 99.76%
40 54s K8754 flush 4 0.01% 1 : 15515 99.75%
41 53s K8753 flush 4 0.01% 1 : 15515 99.74%
42 52s K8752 flush 4 0.01% 1 : 15515 99.74%
43 43s K8743 flush 4 0.01% 1 : 15515 99.73%
44 42s K8742 flush 4 0.01% 1 : 15515 99.72%
45 32s K8732 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK87 three of a kind 64 0.10% 1 : 969 99.71%
47 88 K8887 three of a kind 64 0.10% 1 : 969 99.61%
48 77 K8777 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K8 KK887 two pairs 144 0.23% 1 : 430 99.40%
50 K7 KK877 two pairs 144 0.23% 1 : 430 99.17%
51 87 K8877 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK87 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK87 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ87 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ87 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT87 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK987 one pair 384 0.62% 1 : 161 95.61%
58 K6 KK876 one pair 384 0.62% 1 : 161 94.99%
59 K5 KK875 one pair 384 0.62% 1 : 161 94.37%
60 K4 KK874 one pair 384 0.62% 1 : 161 93.75%
61 K3 KK873 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK872 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ87 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ87 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT87 one pair 384 0.62% 1 : 161 90.66%
66 99 K9987 one pair 384 0.62% 1 : 161 90.04%
67 A8 AK887 one pair 384 0.62% 1 : 161 89.42%
68 Q8 KQ887 one pair 384 0.62% 1 : 161 88.81%
69 J8 KJ887 one pair 384 0.62% 1 : 161 88.19%
70 T8 KT887 one pair 384 0.62% 1 : 161 87.57%
71 98 K9887 one pair 384 0.62% 1 : 161 86.95%
72 86 K8876 one pair 384 0.62% 1 : 161 86.33%
73 85 K8875 one pair 384 0.62% 1 : 161 85.71%
74 84 K8874 one pair 384 0.62% 1 : 161 85.09%
75 83 K8873 one pair 384 0.62% 1 : 161 84.47%
76 82 K8872 one pair 384 0.62% 1 : 161 83.86%
77 A7 AK877 one pair 384 0.62% 1 : 161 83.24%
78 Q7 KQ877 one pair 384 0.62% 1 : 161 82.62%
79 J7 KJ877 one pair 384 0.62% 1 : 161 82.00%
80 T7 KT877 one pair 384 0.62% 1 : 161 81.38%
81 97 K9877 one pair 384 0.62% 1 : 161 80.76%
82 76 K8776 one pair 384 0.62% 1 : 161 80.14%
83 75 K8775 one pair 384 0.62% 1 : 161 79.52%
84 74 K8774 one pair 384 0.62% 1 : 161 78.91%
85 73 K8773 one pair 384 0.62% 1 : 161 78.29%
86 72 K8772 one pair 384 0.62% 1 : 161 77.67%
87 66 K8766 one pair 384 0.62% 1 : 161 77.05%
88 55 K8755 one pair 384 0.62% 1 : 161 76.43%
89 44 K8744 one pair 384 0.62% 1 : 161 75.81%
90 33 K8733 one pair 384 0.62% 1 : 161 75.19%
91 22 K8722 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ87 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ87 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT87 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK987 high card 1,020 1.64% 1 : 59.8 69.03%
96 A6 AK876 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AK875 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AK874 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AK873 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK872 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ87 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT87 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ987 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 KQ876 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 KQ875 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQ874 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQ873 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ872 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT87 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ987 high card 1,020 1.64% 1 : 59.8 44.37%
111 J6 KJ876 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 KJ875 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 KJ874 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJ873 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ872 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT987 high card 1,020 1.64% 1 : 59.8 34.51%
117 T6 KT876 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 KT875 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 KT874 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 KT873 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT872 high card 1,020 1.64% 1 : 59.8 26.30%
122 96 K9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 95 K9875 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 K9874 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 K9873 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 K9872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 K8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 K8764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 K8763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 K8762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 K8754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 K8753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 K8752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 K8743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 K8742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 K8732 high card 1,020 1.64% 1 : 59.8 1.64%