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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 AKQ72 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ72 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT72 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK972 flush 4 0.01% 1 : 15515 99.98%
5 A8s AK872 flush 4 0.01% 1 : 15515 99.97%
6 A6s AK762 flush 4 0.01% 1 : 15515 99.97%
7 A5s AK752 flush 4 0.01% 1 : 15515 99.96%
8 A4s AK742 flush 4 0.01% 1 : 15515 99.95%
9 A3s AK732 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ72 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT72 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ972 flush 4 0.01% 1 : 15515 99.93%
13 Q8s KQ872 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQ762 flush 4 0.01% 1 : 15515 99.92%
15 Q5s KQ752 flush 4 0.01% 1 : 15515 99.91%
16 Q4s KQ742 flush 4 0.01% 1 : 15515 99.90%
17 Q3s KQ732 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT72 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ972 flush 4 0.01% 1 : 15515 99.88%
20 J8s KJ872 flush 4 0.01% 1 : 15515 99.88%
21 J6s KJ762 flush 4 0.01% 1 : 15515 99.87%
22 J5s KJ752 flush 4 0.01% 1 : 15515 99.86%
23 J4s KJ742 flush 4 0.01% 1 : 15515 99.86%
24 J3s KJ732 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT972 flush 4 0.01% 1 : 15515 99.85%
26 T8s KT872 flush 4 0.01% 1 : 15515 99.84%
27 T6s KT762 flush 4 0.01% 1 : 15515 99.83%
28 T5s KT752 flush 4 0.01% 1 : 15515 99.83%
29 T4s KT742 flush 4 0.01% 1 : 15515 99.82%
30 T3s KT732 flush 4 0.01% 1 : 15515 99.81%
31 98s K9872 flush 4 0.01% 1 : 15515 99.81%
32 96s K9762 flush 4 0.01% 1 : 15515 99.80%
33 95s K9752 flush 4 0.01% 1 : 15515 99.79%
34 94s K9742 flush 4 0.01% 1 : 15515 99.79%
35 93s K9732 flush 4 0.01% 1 : 15515 99.78%
36 86s K8762 flush 4 0.01% 1 : 15515 99.77%
37 85s K8752 flush 4 0.01% 1 : 15515 99.77%
38 84s K8742 flush 4 0.01% 1 : 15515 99.76%
39 83s K8732 flush 4 0.01% 1 : 15515 99.76%
40 65s K7652 flush 4 0.01% 1 : 15515 99.75%
41 64s K7642 flush 4 0.01% 1 : 15515 99.74%
42 63s K7632 flush 4 0.01% 1 : 15515 99.74%
43 54s K7542 flush 4 0.01% 1 : 15515 99.73%
44 53s K7532 flush 4 0.01% 1 : 15515 99.72%
45 43s K7432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK72 three of a kind 64 0.10% 1 : 969 99.71%
47 77 K7772 three of a kind 64 0.10% 1 : 969 99.61%
48 22 K7222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K7 KK772 two pairs 144 0.23% 1 : 430 99.40%
50 K2 KK722 two pairs 144 0.23% 1 : 430 99.17%
51 72 K7722 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK72 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK72 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ72 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ72 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT72 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK972 one pair 384 0.62% 1 : 161 95.61%
58 K8 KK872 one pair 384 0.62% 1 : 161 94.99%
59 K6 KK762 one pair 384 0.62% 1 : 161 94.37%
60 K5 KK752 one pair 384 0.62% 1 : 161 93.75%
61 K4 KK742 one pair 384 0.62% 1 : 161 93.14%
62 K3 KK732 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ72 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ72 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT72 one pair 384 0.62% 1 : 161 90.66%
66 99 K9972 one pair 384 0.62% 1 : 161 90.04%
67 88 K8872 one pair 384 0.62% 1 : 161 89.42%
68 A7 AK772 one pair 384 0.62% 1 : 161 88.81%
69 Q7 KQ772 one pair 384 0.62% 1 : 161 88.19%
70 J7 KJ772 one pair 384 0.62% 1 : 161 87.57%
71 T7 KT772 one pair 384 0.62% 1 : 161 86.95%
72 97 K9772 one pair 384 0.62% 1 : 161 86.33%
73 87 K8772 one pair 384 0.62% 1 : 161 85.71%
74 76 K7762 one pair 384 0.62% 1 : 161 85.09%
75 75 K7752 one pair 384 0.62% 1 : 161 84.47%
76 74 K7742 one pair 384 0.62% 1 : 161 83.86%
77 73 K7732 one pair 384 0.62% 1 : 161 83.24%
78 66 K7662 one pair 384 0.62% 1 : 161 82.62%
79 55 K7552 one pair 384 0.62% 1 : 161 82.00%
80 44 K7442 one pair 384 0.62% 1 : 161 81.38%
81 33 K7332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AK722 one pair 384 0.62% 1 : 161 80.14%
83 Q2 KQ722 one pair 384 0.62% 1 : 161 79.52%
84 J2 KJ722 one pair 384 0.62% 1 : 161 78.91%
85 T2 KT722 one pair 384 0.62% 1 : 161 78.29%
86 92 K9722 one pair 384 0.62% 1 : 161 77.67%
87 82 K8722 one pair 384 0.62% 1 : 161 77.05%
88 62 K7622 one pair 384 0.62% 1 : 161 76.43%
89 52 K7522 one pair 384 0.62% 1 : 161 75.81%
90 42 K7422 one pair 384 0.62% 1 : 161 75.19%
91 32 K7322 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ72 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ72 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT72 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK972 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AK872 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AK762 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AK752 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AK742 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AK732 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ72 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT72 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ972 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 KQ872 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQ762 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 KQ752 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 KQ742 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q3 KQ732 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT72 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ972 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 KJ872 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 KJ762 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 KJ752 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 KJ742 high card 1,020 1.64% 1 : 59.8 37.80%
115 J3 KJ732 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT972 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 KT872 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 KT762 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 KT752 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 KT742 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 KT732 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 K9872 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 K9762 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 K9752 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 K9742 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 K9732 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 K8762 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 K8752 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 K8742 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 K8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 K7652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 K7642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 K7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 K7542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 K7532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 K7432 high card 1,020 1.64% 1 : 59.8 1.64%