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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 AKQ97 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ97 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT97 flush 4 0.01% 1 : 15515 99.99%
4 A8s AQ987 flush 4 0.01% 1 : 15515 99.98%
5 A6s AQ976 flush 4 0.01% 1 : 15515 99.97%
6 A5s AQ975 flush 4 0.01% 1 : 15515 99.97%
7 A4s AQ974 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQ973 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQ972 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ97 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT97 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQ987 flush 4 0.01% 1 : 15515 99.93%
13 K6s KQ976 flush 4 0.01% 1 : 15515 99.92%
14 K5s KQ975 flush 4 0.01% 1 : 15515 99.92%
15 K4s KQ974 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQ973 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQ972 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT97 flush 4 0.01% 1 : 15515 99.89%
19 J8s QJ987 flush 4 0.01% 1 : 15515 99.88%
20 J6s QJ976 flush 4 0.01% 1 : 15515 99.88%
21 J5s QJ975 flush 4 0.01% 1 : 15515 99.87%
22 J4s QJ974 flush 4 0.01% 1 : 15515 99.86%
23 J3s QJ973 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJ972 flush 4 0.01% 1 : 15515 99.85%
25 T8s QT987 flush 4 0.01% 1 : 15515 99.85%
26 T6s QT976 flush 4 0.01% 1 : 15515 99.84%
27 T5s QT975 flush 4 0.01% 1 : 15515 99.83%
28 T4s QT974 flush 4 0.01% 1 : 15515 99.83%
29 T3s QT973 flush 4 0.01% 1 : 15515 99.82%
30 T2s QT972 flush 4 0.01% 1 : 15515 99.81%
31 86s Q9876 flush 4 0.01% 1 : 15515 99.81%
32 85s Q9875 flush 4 0.01% 1 : 15515 99.80%
33 84s Q9874 flush 4 0.01% 1 : 15515 99.79%
34 83s Q9873 flush 4 0.01% 1 : 15515 99.79%
35 82s Q9872 flush 4 0.01% 1 : 15515 99.78%
36 65s Q9765 flush 4 0.01% 1 : 15515 99.77%
37 64s Q9764 flush 4 0.01% 1 : 15515 99.77%
38 63s Q9763 flush 4 0.01% 1 : 15515 99.76%
39 62s Q9762 flush 4 0.01% 1 : 15515 99.76%
40 54s Q9754 flush 4 0.01% 1 : 15515 99.75%
41 53s Q9753 flush 4 0.01% 1 : 15515 99.74%
42 52s Q9752 flush 4 0.01% 1 : 15515 99.74%
43 43s Q9743 flush 4 0.01% 1 : 15515 99.73%
44 42s Q9742 flush 4 0.01% 1 : 15515 99.72%
45 32s Q9732 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ97 three of a kind 64 0.10% 1 : 969 99.71%
47 99 Q9997 three of a kind 64 0.10% 1 : 969 99.61%
48 77 Q9777 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q9 QQ997 two pairs 144 0.23% 1 : 430 99.40%
50 Q7 QQ977 two pairs 144 0.23% 1 : 430 99.17%
51 97 Q9977 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ97 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ97 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ97 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ97 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ97 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT97 one pair 384 0.62% 1 : 161 95.61%
58 Q8 QQ987 one pair 384 0.62% 1 : 161 94.99%
59 Q6 QQ976 one pair 384 0.62% 1 : 161 94.37%
60 Q5 QQ975 one pair 384 0.62% 1 : 161 93.75%
61 Q4 QQ974 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQ973 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQ972 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ97 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT97 one pair 384 0.62% 1 : 161 90.66%
66 A9 AQ997 one pair 384 0.62% 1 : 161 90.04%
67 K9 KQ997 one pair 384 0.62% 1 : 161 89.42%
68 J9 QJ997 one pair 384 0.62% 1 : 161 88.81%
69 T9 QT997 one pair 384 0.62% 1 : 161 88.19%
70 98 Q9987 one pair 384 0.62% 1 : 161 87.57%
71 96 Q9976 one pair 384 0.62% 1 : 161 86.95%
72 95 Q9975 one pair 384 0.62% 1 : 161 86.33%
73 94 Q9974 one pair 384 0.62% 1 : 161 85.71%
74 93 Q9973 one pair 384 0.62% 1 : 161 85.09%
75 92 Q9972 one pair 384 0.62% 1 : 161 84.47%
76 88 Q9887 one pair 384 0.62% 1 : 161 83.86%
77 A7 AQ977 one pair 384 0.62% 1 : 161 83.24%
78 K7 KQ977 one pair 384 0.62% 1 : 161 82.62%
79 J7 QJ977 one pair 384 0.62% 1 : 161 82.00%
80 T7 QT977 one pair 384 0.62% 1 : 161 81.38%
81 87 Q9877 one pair 384 0.62% 1 : 161 80.76%
82 76 Q9776 one pair 384 0.62% 1 : 161 80.14%
83 75 Q9775 one pair 384 0.62% 1 : 161 79.52%
84 74 Q9774 one pair 384 0.62% 1 : 161 78.91%
85 73 Q9773 one pair 384 0.62% 1 : 161 78.29%
86 72 Q9772 one pair 384 0.62% 1 : 161 77.67%
87 66 Q9766 one pair 384 0.62% 1 : 161 77.05%
88 55 Q9755 one pair 384 0.62% 1 : 161 76.43%
89 44 Q9744 one pair 384 0.62% 1 : 161 75.81%
90 33 Q9733 one pair 384 0.62% 1 : 161 75.19%
91 22 Q9722 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ97 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ97 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT97 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AQ987 high card 1,020 1.64% 1 : 59.8 69.03%
96 A6 AQ976 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AQ975 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AQ974 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQ973 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQ972 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ97 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT97 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQ987 high card 1,020 1.64% 1 : 59.8 55.88%
104 K6 KQ976 high card 1,020 1.64% 1 : 59.8 54.23%
105 K5 KQ975 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KQ974 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQ973 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQ972 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT97 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 QJ987 high card 1,020 1.64% 1 : 59.8 44.37%
111 J6 QJ976 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 QJ975 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 QJ974 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 QJ973 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJ972 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 QT987 high card 1,020 1.64% 1 : 59.8 34.51%
117 T6 QT976 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 QT975 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 QT974 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 QT973 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 QT972 high card 1,020 1.64% 1 : 59.8 26.30%
122 86 Q9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 Q9875 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 Q9874 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 Q9873 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 Q9872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 Q9765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 Q9764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 Q9763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 Q9762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 Q9754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 Q9753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 Q9752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 Q9743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 Q9742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 Q9732 high card 1,020 1.64% 1 : 59.8 1.64%