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 AKQ82 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ82 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT82 flush 4 0.01% 1 : 15515 99.99%
4 K9s AK982 flush 4 0.01% 1 : 15515 99.98%
5 K7s AK872 flush 4 0.01% 1 : 15515 99.97%
6 K6s AK862 flush 4 0.01% 1 : 15515 99.97%
7 K5s AK852 flush 4 0.01% 1 : 15515 99.96%
8 K4s AK842 flush 4 0.01% 1 : 15515 99.95%
9 K3s AK832 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ82 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT82 flush 4 0.01% 1 : 15515 99.94%
12 Q9s AQ982 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQ872 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQ862 flush 4 0.01% 1 : 15515 99.92%
15 Q5s AQ852 flush 4 0.01% 1 : 15515 99.91%
16 Q4s AQ842 flush 4 0.01% 1 : 15515 99.90%
17 Q3s AQ832 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT82 flush 4 0.01% 1 : 15515 99.89%
19 J9s AJ982 flush 4 0.01% 1 : 15515 99.88%
20 J7s AJ872 flush 4 0.01% 1 : 15515 99.88%
21 J6s AJ862 flush 4 0.01% 1 : 15515 99.87%
22 J5s AJ852 flush 4 0.01% 1 : 15515 99.86%
23 J4s AJ842 flush 4 0.01% 1 : 15515 99.86%
24 J3s AJ832 flush 4 0.01% 1 : 15515 99.85%
25 T9s AT982 flush 4 0.01% 1 : 15515 99.85%
26 T7s AT872 flush 4 0.01% 1 : 15515 99.84%
27 T6s AT862 flush 4 0.01% 1 : 15515 99.83%
28 T5s AT852 flush 4 0.01% 1 : 15515 99.83%
29 T4s AT842 flush 4 0.01% 1 : 15515 99.82%
30 T3s AT832 flush 4 0.01% 1 : 15515 99.81%
31 97s A9872 flush 4 0.01% 1 : 15515 99.81%
32 96s A9862 flush 4 0.01% 1 : 15515 99.80%
33 95s A9852 flush 4 0.01% 1 : 15515 99.79%
34 94s A9842 flush 4 0.01% 1 : 15515 99.79%
35 93s A9832 flush 4 0.01% 1 : 15515 99.78%
36 76s A8762 flush 4 0.01% 1 : 15515 99.77%
37 75s A8752 flush 4 0.01% 1 : 15515 99.77%
38 74s A8742 flush 4 0.01% 1 : 15515 99.76%
39 73s A8732 flush 4 0.01% 1 : 15515 99.76%
40 65s A8652 flush 4 0.01% 1 : 15515 99.75%
41 64s A8642 flush 4 0.01% 1 : 15515 99.74%
42 63s A8632 flush 4 0.01% 1 : 15515 99.74%
43 54s A8542 flush 4 0.01% 1 : 15515 99.73%
44 53s A8532 flush 4 0.01% 1 : 15515 99.72%
45 43s A8432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA82 three of a kind 64 0.10% 1 : 969 99.71%
47 88 A8882 three of a kind 64 0.10% 1 : 969 99.61%
48 22 A8222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A8 AA882 two pairs 144 0.23% 1 : 430 99.40%
50 A2 AA822 two pairs 144 0.23% 1 : 430 99.17%
51 82 A8822 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK82 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ82 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ82 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT82 one pair 384 0.62% 1 : 161 96.85%
56 A9 AA982 one pair 384 0.62% 1 : 161 96.23%
57 A7 AA872 one pair 384 0.62% 1 : 161 95.61%
58 A6 AA862 one pair 384 0.62% 1 : 161 94.99%
59 A5 AA852 one pair 384 0.62% 1 : 161 94.37%
60 A4 AA842 one pair 384 0.62% 1 : 161 93.75%
61 A3 AA832 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK82 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ82 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ82 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT82 one pair 384 0.62% 1 : 161 90.66%
66 99 A9982 one pair 384 0.62% 1 : 161 90.04%
67 K8 AK882 one pair 384 0.62% 1 : 161 89.42%
68 Q8 AQ882 one pair 384 0.62% 1 : 161 88.81%
69 J8 AJ882 one pair 384 0.62% 1 : 161 88.19%
70 T8 AT882 one pair 384 0.62% 1 : 161 87.57%
71 98 A9882 one pair 384 0.62% 1 : 161 86.95%
72 87 A8872 one pair 384 0.62% 1 : 161 86.33%
73 86 A8862 one pair 384 0.62% 1 : 161 85.71%
74 85 A8852 one pair 384 0.62% 1 : 161 85.09%
75 84 A8842 one pair 384 0.62% 1 : 161 84.47%
76 83 A8832 one pair 384 0.62% 1 : 161 83.86%
77 77 A8772 one pair 384 0.62% 1 : 161 83.24%
78 66 A8662 one pair 384 0.62% 1 : 161 82.62%
79 55 A8552 one pair 384 0.62% 1 : 161 82.00%
80 44 A8442 one pair 384 0.62% 1 : 161 81.38%
81 33 A8332 one pair 384 0.62% 1 : 161 80.76%
82 K2 AK822 one pair 384 0.62% 1 : 161 80.14%
83 Q2 AQ822 one pair 384 0.62% 1 : 161 79.52%
84 J2 AJ822 one pair 384 0.62% 1 : 161 78.91%
85 T2 AT822 one pair 384 0.62% 1 : 161 78.29%
86 92 A9822 one pair 384 0.62% 1 : 161 77.67%
87 72 A8722 one pair 384 0.62% 1 : 161 77.05%
88 62 A8622 one pair 384 0.62% 1 : 161 76.43%
89 52 A8522 one pair 384 0.62% 1 : 161 75.81%
90 42 A8422 one pair 384 0.62% 1 : 161 75.19%
91 32 A8322 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ82 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ82 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT82 high card 1,020 1.64% 1 : 59.8 70.67%
95 K9 AK982 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AK872 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AK862 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AK852 high card 1,020 1.64% 1 : 59.8 64.10%
99 K4 AK842 high card 1,020 1.64% 1 : 59.8 62.45%
100 K3 AK832 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ82 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT82 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 AQ982 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQ872 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQ862 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 AQ852 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 AQ842 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q3 AQ832 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT82 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 AJ982 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 AJ872 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 AJ862 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 AJ852 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 AJ842 high card 1,020 1.64% 1 : 59.8 37.80%
115 J3 AJ832 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 AT982 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 AT872 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 AT862 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 AT852 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 AT842 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 AT832 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 A9872 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 A9862 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 A9852 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 A9842 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 A9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 A8762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 A8752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 A8742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 A8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 A8652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 A8642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 A8632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 A8542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 A8532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 A8432 high card 1,020 1.64% 1 : 59.8 1.64%