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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 AKQ72 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ72 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT72 flush 4 0.01% 1 : 15515 99.99%
4 K9s AK972 flush 4 0.01% 1 : 15515 99.98%
5 K8s AK872 flush 4 0.01% 1 : 15515 99.97%
6 K6s AK762 flush 4 0.01% 1 : 15515 99.97%
7 K5s AK752 flush 4 0.01% 1 : 15515 99.96%
8 K4s AK742 flush 4 0.01% 1 : 15515 99.95%
9 K3s AK732 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ72 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT72 flush 4 0.01% 1 : 15515 99.94%
12 Q9s AQ972 flush 4 0.01% 1 : 15515 99.93%
13 Q8s AQ872 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQ762 flush 4 0.01% 1 : 15515 99.92%
15 Q5s AQ752 flush 4 0.01% 1 : 15515 99.91%
16 Q4s AQ742 flush 4 0.01% 1 : 15515 99.90%
17 Q3s AQ732 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT72 flush 4 0.01% 1 : 15515 99.89%
19 J9s AJ972 flush 4 0.01% 1 : 15515 99.88%
20 J8s AJ872 flush 4 0.01% 1 : 15515 99.88%
21 J6s AJ762 flush 4 0.01% 1 : 15515 99.87%
22 J5s AJ752 flush 4 0.01% 1 : 15515 99.86%
23 J4s AJ742 flush 4 0.01% 1 : 15515 99.86%
24 J3s AJ732 flush 4 0.01% 1 : 15515 99.85%
25 T9s AT972 flush 4 0.01% 1 : 15515 99.85%
26 T8s AT872 flush 4 0.01% 1 : 15515 99.84%
27 T6s AT762 flush 4 0.01% 1 : 15515 99.83%
28 T5s AT752 flush 4 0.01% 1 : 15515 99.83%
29 T4s AT742 flush 4 0.01% 1 : 15515 99.82%
30 T3s AT732 flush 4 0.01% 1 : 15515 99.81%
31 98s A9872 flush 4 0.01% 1 : 15515 99.81%
32 96s A9762 flush 4 0.01% 1 : 15515 99.80%
33 95s A9752 flush 4 0.01% 1 : 15515 99.79%
34 94s A9742 flush 4 0.01% 1 : 15515 99.79%
35 93s A9732 flush 4 0.01% 1 : 15515 99.78%
36 86s A8762 flush 4 0.01% 1 : 15515 99.77%
37 85s A8752 flush 4 0.01% 1 : 15515 99.77%
38 84s A8742 flush 4 0.01% 1 : 15515 99.76%
39 83s A8732 flush 4 0.01% 1 : 15515 99.76%
40 65s A7652 flush 4 0.01% 1 : 15515 99.75%
41 64s A7642 flush 4 0.01% 1 : 15515 99.74%
42 63s A7632 flush 4 0.01% 1 : 15515 99.74%
43 54s A7542 flush 4 0.01% 1 : 15515 99.73%
44 53s A7532 flush 4 0.01% 1 : 15515 99.72%
45 43s A7432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA72 three of a kind 64 0.10% 1 : 969 99.71%
47 77 A7772 three of a kind 64 0.10% 1 : 969 99.61%
48 22 A7222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A7 AA772 two pairs 144 0.23% 1 : 430 99.40%
50 A2 AA722 two pairs 144 0.23% 1 : 430 99.17%
51 72 A7722 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK72 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ72 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ72 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT72 one pair 384 0.62% 1 : 161 96.85%
56 A9 AA972 one pair 384 0.62% 1 : 161 96.23%
57 A8 AA872 one pair 384 0.62% 1 : 161 95.61%
58 A6 AA762 one pair 384 0.62% 1 : 161 94.99%
59 A5 AA752 one pair 384 0.62% 1 : 161 94.37%
60 A4 AA742 one pair 384 0.62% 1 : 161 93.75%
61 A3 AA732 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK72 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ72 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ72 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT72 one pair 384 0.62% 1 : 161 90.66%
66 99 A9972 one pair 384 0.62% 1 : 161 90.04%
67 88 A8872 one pair 384 0.62% 1 : 161 89.42%
68 K7 AK772 one pair 384 0.62% 1 : 161 88.81%
69 Q7 AQ772 one pair 384 0.62% 1 : 161 88.19%
70 J7 AJ772 one pair 384 0.62% 1 : 161 87.57%
71 T7 AT772 one pair 384 0.62% 1 : 161 86.95%
72 97 A9772 one pair 384 0.62% 1 : 161 86.33%
73 87 A8772 one pair 384 0.62% 1 : 161 85.71%
74 76 A7762 one pair 384 0.62% 1 : 161 85.09%
75 75 A7752 one pair 384 0.62% 1 : 161 84.47%
76 74 A7742 one pair 384 0.62% 1 : 161 83.86%
77 73 A7732 one pair 384 0.62% 1 : 161 83.24%
78 66 A7662 one pair 384 0.62% 1 : 161 82.62%
79 55 A7552 one pair 384 0.62% 1 : 161 82.00%
80 44 A7442 one pair 384 0.62% 1 : 161 81.38%
81 33 A7332 one pair 384 0.62% 1 : 161 80.76%
82 K2 AK722 one pair 384 0.62% 1 : 161 80.14%
83 Q2 AQ722 one pair 384 0.62% 1 : 161 79.52%
84 J2 AJ722 one pair 384 0.62% 1 : 161 78.91%
85 T2 AT722 one pair 384 0.62% 1 : 161 78.29%
86 92 A9722 one pair 384 0.62% 1 : 161 77.67%
87 82 A8722 one pair 384 0.62% 1 : 161 77.05%
88 62 A7622 one pair 384 0.62% 1 : 161 76.43%
89 52 A7522 one pair 384 0.62% 1 : 161 75.81%
90 42 A7422 one pair 384 0.62% 1 : 161 75.19%
91 32 A7322 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ72 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ72 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT72 high card 1,020 1.64% 1 : 59.8 70.67%
95 K9 AK972 high card 1,020 1.64% 1 : 59.8 69.03%
96 K8 AK872 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AK762 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AK752 high card 1,020 1.64% 1 : 59.8 64.10%
99 K4 AK742 high card 1,020 1.64% 1 : 59.8 62.45%
100 K3 AK732 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ72 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT72 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 AQ972 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 AQ872 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQ762 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 AQ752 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 AQ742 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q3 AQ732 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT72 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 AJ972 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 AJ872 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 AJ762 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 AJ752 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 AJ742 high card 1,020 1.64% 1 : 59.8 37.80%
115 J3 AJ732 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 AT972 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 AT872 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 AT762 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 AT752 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 AT742 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 AT732 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 A9872 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 A9762 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 A9752 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 A9742 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 A9732 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 A8762 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 A8752 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 A8742 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 A8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 A7652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 A7642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 A7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 A7542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 A7532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 A7432 high card 1,020 1.64% 1 : 59.8 1.64%