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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 AKT82 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT82 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT82 flush 4 0.01% 1 : 15515 99.99%
4 A9s AT982 flush 4 0.01% 1 : 15515 99.98%
5 A7s AT872 flush 4 0.01% 1 : 15515 99.97%
6 A6s AT862 flush 4 0.01% 1 : 15515 99.97%
7 A5s AT852 flush 4 0.01% 1 : 15515 99.96%
8 A4s AT842 flush 4 0.01% 1 : 15515 99.95%
9 A3s AT832 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT82 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT82 flush 4 0.01% 1 : 15515 99.94%
12 K9s KT982 flush 4 0.01% 1 : 15515 99.93%
13 K7s KT872 flush 4 0.01% 1 : 15515 99.92%
14 K6s KT862 flush 4 0.01% 1 : 15515 99.92%
15 K5s KT852 flush 4 0.01% 1 : 15515 99.91%
16 K4s KT842 flush 4 0.01% 1 : 15515 99.90%
17 K3s KT832 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT82 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QT982 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QT872 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QT862 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QT852 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QT842 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QT832 flush 4 0.01% 1 : 15515 99.85%
25 J9s JT982 flush 4 0.01% 1 : 15515 99.85%
26 J7s JT872 flush 4 0.01% 1 : 15515 99.84%
27 J6s JT862 flush 4 0.01% 1 : 15515 99.83%
28 J5s JT852 flush 4 0.01% 1 : 15515 99.83%
29 J4s JT842 flush 4 0.01% 1 : 15515 99.82%
30 J3s JT832 flush 4 0.01% 1 : 15515 99.81%
31 97s T9872 flush 4 0.01% 1 : 15515 99.81%
32 96s T9862 flush 4 0.01% 1 : 15515 99.80%
33 95s T9852 flush 4 0.01% 1 : 15515 99.79%
34 94s T9842 flush 4 0.01% 1 : 15515 99.79%
35 93s T9832 flush 4 0.01% 1 : 15515 99.78%
36 76s T8762 flush 4 0.01% 1 : 15515 99.77%
37 75s T8752 flush 4 0.01% 1 : 15515 99.77%
38 74s T8742 flush 4 0.01% 1 : 15515 99.76%
39 73s T8732 flush 4 0.01% 1 : 15515 99.76%
40 65s T8652 flush 4 0.01% 1 : 15515 99.75%
41 64s T8642 flush 4 0.01% 1 : 15515 99.74%
42 63s T8632 flush 4 0.01% 1 : 15515 99.74%
43 54s T8542 flush 4 0.01% 1 : 15515 99.73%
44 53s T8532 flush 4 0.01% 1 : 15515 99.72%
45 43s T8432 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT82 three of a kind 64 0.10% 1 : 969 99.71%
47 88 T8882 three of a kind 64 0.10% 1 : 969 99.61%
48 22 T8222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T8 TT882 two pairs 144 0.23% 1 : 430 99.40%
50 T2 TT822 two pairs 144 0.23% 1 : 430 99.17%
51 82 T8822 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT82 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT82 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT82 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT82 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT82 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT82 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT82 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT82 one pair 384 0.62% 1 : 161 94.37%
60 T9 TT982 one pair 384 0.62% 1 : 161 93.75%
61 T7 TT872 one pair 384 0.62% 1 : 161 93.14%
62 T6 TT862 one pair 384 0.62% 1 : 161 92.52%
63 T5 TT852 one pair 384 0.62% 1 : 161 91.90%
64 T4 TT842 one pair 384 0.62% 1 : 161 91.28%
65 T3 TT832 one pair 384 0.62% 1 : 161 90.66%
66 99 T9982 one pair 384 0.62% 1 : 161 90.04%
67 A8 AT882 one pair 384 0.62% 1 : 161 89.42%
68 K8 KT882 one pair 384 0.62% 1 : 161 88.81%
69 Q8 QT882 one pair 384 0.62% 1 : 161 88.19%
70 J8 JT882 one pair 384 0.62% 1 : 161 87.57%
71 98 T9882 one pair 384 0.62% 1 : 161 86.95%
72 87 T8872 one pair 384 0.62% 1 : 161 86.33%
73 86 T8862 one pair 384 0.62% 1 : 161 85.71%
74 85 T8852 one pair 384 0.62% 1 : 161 85.09%
75 84 T8842 one pair 384 0.62% 1 : 161 84.47%
76 83 T8832 one pair 384 0.62% 1 : 161 83.86%
77 77 T8772 one pair 384 0.62% 1 : 161 83.24%
78 66 T8662 one pair 384 0.62% 1 : 161 82.62%
79 55 T8552 one pair 384 0.62% 1 : 161 82.00%
80 44 T8442 one pair 384 0.62% 1 : 161 81.38%
81 33 T8332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AT822 one pair 384 0.62% 1 : 161 80.14%
83 K2 KT822 one pair 384 0.62% 1 : 161 79.52%
84 Q2 QT822 one pair 384 0.62% 1 : 161 78.91%
85 J2 JT822 one pair 384 0.62% 1 : 161 78.29%
86 92 T9822 one pair 384 0.62% 1 : 161 77.67%
87 72 T8722 one pair 384 0.62% 1 : 161 77.05%
88 62 T8622 one pair 384 0.62% 1 : 161 76.43%
89 52 T8522 one pair 384 0.62% 1 : 161 75.81%
90 42 T8422 one pair 384 0.62% 1 : 161 75.19%
91 32 T8322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT82 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT82 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT82 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AT982 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AT872 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AT862 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AT852 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AT842 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AT832 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT82 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT82 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KT982 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KT872 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KT862 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KT852 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KT842 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KT832 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT82 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QT982 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QT872 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QT862 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QT852 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QT842 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QT832 high card 1,020 1.64% 1 : 59.8 36.16%
116 J9 JT982 high card 1,020 1.64% 1 : 59.8 34.51%
117 J7 JT872 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 JT862 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 JT852 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 JT842 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 JT832 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 T9872 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 T9862 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 T9852 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 T9842 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 T9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 T8762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 T8752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 T8742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 T8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 T8652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 T8642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 T8632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 T8542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 T8532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 T8432 high card 1,020 1.64% 1 : 59.8 1.64%