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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 AKQ72 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ72 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT72 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQ972 flush 4 0.01% 1 : 15515 99.98%
5 A8s AQ872 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQ762 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQ752 flush 4 0.01% 1 : 15515 99.96%
8 A4s AQ742 flush 4 0.01% 1 : 15515 99.95%
9 A3s AQ732 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ72 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT72 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQ972 flush 4 0.01% 1 : 15515 99.93%
13 K8s KQ872 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQ762 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQ752 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQ742 flush 4 0.01% 1 : 15515 99.90%
17 K3s KQ732 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT72 flush 4 0.01% 1 : 15515 99.89%
19 J9s QJ972 flush 4 0.01% 1 : 15515 99.88%
20 J8s QJ872 flush 4 0.01% 1 : 15515 99.88%
21 J6s QJ762 flush 4 0.01% 1 : 15515 99.87%
22 J5s QJ752 flush 4 0.01% 1 : 15515 99.86%
23 J4s QJ742 flush 4 0.01% 1 : 15515 99.86%
24 J3s QJ732 flush 4 0.01% 1 : 15515 99.85%
25 T9s QT972 flush 4 0.01% 1 : 15515 99.85%
26 T8s QT872 flush 4 0.01% 1 : 15515 99.84%
27 T6s QT762 flush 4 0.01% 1 : 15515 99.83%
28 T5s QT752 flush 4 0.01% 1 : 15515 99.83%
29 T4s QT742 flush 4 0.01% 1 : 15515 99.82%
30 T3s QT732 flush 4 0.01% 1 : 15515 99.81%
31 98s Q9872 flush 4 0.01% 1 : 15515 99.81%
32 96s Q9762 flush 4 0.01% 1 : 15515 99.80%
33 95s Q9752 flush 4 0.01% 1 : 15515 99.79%
34 94s Q9742 flush 4 0.01% 1 : 15515 99.79%
35 93s Q9732 flush 4 0.01% 1 : 15515 99.78%
36 86s Q8762 flush 4 0.01% 1 : 15515 99.77%
37 85s Q8752 flush 4 0.01% 1 : 15515 99.77%
38 84s Q8742 flush 4 0.01% 1 : 15515 99.76%
39 83s Q8732 flush 4 0.01% 1 : 15515 99.76%
40 65s Q7652 flush 4 0.01% 1 : 15515 99.75%
41 64s Q7642 flush 4 0.01% 1 : 15515 99.74%
42 63s Q7632 flush 4 0.01% 1 : 15515 99.74%
43 54s Q7542 flush 4 0.01% 1 : 15515 99.73%
44 53s Q7532 flush 4 0.01% 1 : 15515 99.72%
45 43s Q7432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ72 three of a kind 64 0.10% 1 : 969 99.71%
47 77 Q7772 three of a kind 64 0.10% 1 : 969 99.61%
48 22 Q7222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q7 QQ772 two pairs 144 0.23% 1 : 430 99.40%
50 Q2 QQ722 two pairs 144 0.23% 1 : 430 99.17%
51 72 Q7722 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ72 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ72 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ72 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ72 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ72 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT72 one pair 384 0.62% 1 : 161 95.61%
58 Q9 QQ972 one pair 384 0.62% 1 : 161 94.99%
59 Q8 QQ872 one pair 384 0.62% 1 : 161 94.37%
60 Q6 QQ762 one pair 384 0.62% 1 : 161 93.75%
61 Q5 QQ752 one pair 384 0.62% 1 : 161 93.14%
62 Q4 QQ742 one pair 384 0.62% 1 : 161 92.52%
63 Q3 QQ732 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ72 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT72 one pair 384 0.62% 1 : 161 90.66%
66 99 Q9972 one pair 384 0.62% 1 : 161 90.04%
67 88 Q8872 one pair 384 0.62% 1 : 161 89.42%
68 A7 AQ772 one pair 384 0.62% 1 : 161 88.81%
69 K7 KQ772 one pair 384 0.62% 1 : 161 88.19%
70 J7 QJ772 one pair 384 0.62% 1 : 161 87.57%
71 T7 QT772 one pair 384 0.62% 1 : 161 86.95%
72 97 Q9772 one pair 384 0.62% 1 : 161 86.33%
73 87 Q8772 one pair 384 0.62% 1 : 161 85.71%
74 76 Q7762 one pair 384 0.62% 1 : 161 85.09%
75 75 Q7752 one pair 384 0.62% 1 : 161 84.47%
76 74 Q7742 one pair 384 0.62% 1 : 161 83.86%
77 73 Q7732 one pair 384 0.62% 1 : 161 83.24%
78 66 Q7662 one pair 384 0.62% 1 : 161 82.62%
79 55 Q7552 one pair 384 0.62% 1 : 161 82.00%
80 44 Q7442 one pair 384 0.62% 1 : 161 81.38%
81 33 Q7332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AQ722 one pair 384 0.62% 1 : 161 80.14%
83 K2 KQ722 one pair 384 0.62% 1 : 161 79.52%
84 J2 QJ722 one pair 384 0.62% 1 : 161 78.91%
85 T2 QT722 one pair 384 0.62% 1 : 161 78.29%
86 92 Q9722 one pair 384 0.62% 1 : 161 77.67%
87 82 Q8722 one pair 384 0.62% 1 : 161 77.05%
88 62 Q7622 one pair 384 0.62% 1 : 161 76.43%
89 52 Q7522 one pair 384 0.62% 1 : 161 75.81%
90 42 Q7422 one pair 384 0.62% 1 : 161 75.19%
91 32 Q7322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ72 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ72 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT72 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQ972 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AQ872 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQ762 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQ752 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AQ742 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AQ732 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ72 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT72 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQ972 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KQ872 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQ762 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQ752 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQ742 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KQ732 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT72 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 QJ972 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 QJ872 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 QJ762 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 QJ752 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 QJ742 high card 1,020 1.64% 1 : 59.8 37.80%
115 J3 QJ732 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 QT972 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 QT872 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 QT762 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 QT752 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 QT742 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 QT732 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 Q9872 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 Q9762 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 Q9752 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 Q9742 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 Q9732 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 Q8762 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 Q8752 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 Q8742 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 Q8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 Q7652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 Q7642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 Q7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 Q7542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 Q7532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 Q7432 high card 1,020 1.64% 1 : 59.8 1.64%