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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 AKQ87 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ87 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT87 flush 4 0.01% 1 : 15515 99.99%
4 K9s AK987 flush 4 0.01% 1 : 15515 99.98%
5 K6s AK876 flush 4 0.01% 1 : 15515 99.97%
6 K5s AK875 flush 4 0.01% 1 : 15515 99.97%
7 K4s AK874 flush 4 0.01% 1 : 15515 99.96%
8 K3s AK873 flush 4 0.01% 1 : 15515 99.95%
9 K2s AK872 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ87 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT87 flush 4 0.01% 1 : 15515 99.94%
12 Q9s AQ987 flush 4 0.01% 1 : 15515 99.93%
13 Q6s AQ876 flush 4 0.01% 1 : 15515 99.92%
14 Q5s AQ875 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQ874 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQ873 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQ872 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT87 flush 4 0.01% 1 : 15515 99.89%
19 J9s AJ987 flush 4 0.01% 1 : 15515 99.88%
20 J6s AJ876 flush 4 0.01% 1 : 15515 99.88%
21 J5s AJ875 flush 4 0.01% 1 : 15515 99.87%
22 J4s AJ874 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJ873 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJ872 flush 4 0.01% 1 : 15515 99.85%
25 T9s AT987 flush 4 0.01% 1 : 15515 99.85%
26 T6s AT876 flush 4 0.01% 1 : 15515 99.84%
27 T5s AT875 flush 4 0.01% 1 : 15515 99.83%
28 T4s AT874 flush 4 0.01% 1 : 15515 99.83%
29 T3s AT873 flush 4 0.01% 1 : 15515 99.82%
30 T2s AT872 flush 4 0.01% 1 : 15515 99.81%
31 96s A9876 flush 4 0.01% 1 : 15515 99.81%
32 95s A9875 flush 4 0.01% 1 : 15515 99.80%
33 94s A9874 flush 4 0.01% 1 : 15515 99.79%
34 93s A9873 flush 4 0.01% 1 : 15515 99.79%
35 92s A9872 flush 4 0.01% 1 : 15515 99.78%
36 65s A8765 flush 4 0.01% 1 : 15515 99.77%
37 64s A8764 flush 4 0.01% 1 : 15515 99.77%
38 63s A8763 flush 4 0.01% 1 : 15515 99.76%
39 62s A8762 flush 4 0.01% 1 : 15515 99.76%
40 54s A8754 flush 4 0.01% 1 : 15515 99.75%
41 53s A8753 flush 4 0.01% 1 : 15515 99.74%
42 52s A8752 flush 4 0.01% 1 : 15515 99.74%
43 43s A8743 flush 4 0.01% 1 : 15515 99.73%
44 42s A8742 flush 4 0.01% 1 : 15515 99.72%
45 32s A8732 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA87 three of a kind 64 0.10% 1 : 969 99.71%
47 88 A8887 three of a kind 64 0.10% 1 : 969 99.61%
48 77 A8777 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A8 AA887 two pairs 144 0.23% 1 : 430 99.40%
50 A7 AA877 two pairs 144 0.23% 1 : 430 99.17%
51 87 A8877 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK87 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ87 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ87 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT87 one pair 384 0.62% 1 : 161 96.85%
56 A9 AA987 one pair 384 0.62% 1 : 161 96.23%
57 A6 AA876 one pair 384 0.62% 1 : 161 95.61%
58 A5 AA875 one pair 384 0.62% 1 : 161 94.99%
59 A4 AA874 one pair 384 0.62% 1 : 161 94.37%
60 A3 AA873 one pair 384 0.62% 1 : 161 93.75%
61 A2 AA872 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK87 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ87 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ87 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT87 one pair 384 0.62% 1 : 161 90.66%
66 99 A9987 one pair 384 0.62% 1 : 161 90.04%
67 K8 AK887 one pair 384 0.62% 1 : 161 89.42%
68 Q8 AQ887 one pair 384 0.62% 1 : 161 88.81%
69 J8 AJ887 one pair 384 0.62% 1 : 161 88.19%
70 T8 AT887 one pair 384 0.62% 1 : 161 87.57%
71 98 A9887 one pair 384 0.62% 1 : 161 86.95%
72 86 A8876 one pair 384 0.62% 1 : 161 86.33%
73 85 A8875 one pair 384 0.62% 1 : 161 85.71%
74 84 A8874 one pair 384 0.62% 1 : 161 85.09%
75 83 A8873 one pair 384 0.62% 1 : 161 84.47%
76 82 A8872 one pair 384 0.62% 1 : 161 83.86%
77 K7 AK877 one pair 384 0.62% 1 : 161 83.24%
78 Q7 AQ877 one pair 384 0.62% 1 : 161 82.62%
79 J7 AJ877 one pair 384 0.62% 1 : 161 82.00%
80 T7 AT877 one pair 384 0.62% 1 : 161 81.38%
81 97 A9877 one pair 384 0.62% 1 : 161 80.76%
82 76 A8776 one pair 384 0.62% 1 : 161 80.14%
83 75 A8775 one pair 384 0.62% 1 : 161 79.52%
84 74 A8774 one pair 384 0.62% 1 : 161 78.91%
85 73 A8773 one pair 384 0.62% 1 : 161 78.29%
86 72 A8772 one pair 384 0.62% 1 : 161 77.67%
87 66 A8766 one pair 384 0.62% 1 : 161 77.05%
88 55 A8755 one pair 384 0.62% 1 : 161 76.43%
89 44 A8744 one pair 384 0.62% 1 : 161 75.81%
90 33 A8733 one pair 384 0.62% 1 : 161 75.19%
91 22 A8722 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ87 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ87 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT87 high card 1,020 1.64% 1 : 59.8 70.67%
95 K9 AK987 high card 1,020 1.64% 1 : 59.8 69.03%
96 K6 AK876 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AK875 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AK874 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AK873 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AK872 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ87 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT87 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 AQ987 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 AQ876 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 AQ875 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQ874 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQ873 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQ872 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT87 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 AJ987 high card 1,020 1.64% 1 : 59.8 44.37%
111 J6 AJ876 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 AJ875 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 AJ874 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJ873 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJ872 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 AT987 high card 1,020 1.64% 1 : 59.8 34.51%
117 T6 AT876 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 AT875 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 AT874 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 AT873 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 AT872 high card 1,020 1.64% 1 : 59.8 26.30%
122 96 A9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 95 A9875 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 A9874 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 A9873 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 A9872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 A8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 A8764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 A8763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 A8762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 A8754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 A8753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 A8752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 A8743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 A8742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 A8732 high card 1,020 1.64% 1 : 59.8 1.64%