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 AKQ92 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ92 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT92 flush 4 0.01% 1 : 15515 99.99%
4 A8s AK982 flush 4 0.01% 1 : 15515 99.98%
5 A7s AK972 flush 4 0.01% 1 : 15515 99.97%
6 A6s AK962 flush 4 0.01% 1 : 15515 99.97%
7 A5s AK952 flush 4 0.01% 1 : 15515 99.96%
8 A4s AK942 flush 4 0.01% 1 : 15515 99.95%
9 A3s AK932 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ92 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT92 flush 4 0.01% 1 : 15515 99.94%
12 Q8s KQ982 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQ972 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQ962 flush 4 0.01% 1 : 15515 99.92%
15 Q5s KQ952 flush 4 0.01% 1 : 15515 99.91%
16 Q4s KQ942 flush 4 0.01% 1 : 15515 99.90%
17 Q3s KQ932 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT92 flush 4 0.01% 1 : 15515 99.89%
19 J8s KJ982 flush 4 0.01% 1 : 15515 99.88%
20 J7s KJ972 flush 4 0.01% 1 : 15515 99.88%
21 J6s KJ962 flush 4 0.01% 1 : 15515 99.87%
22 J5s KJ952 flush 4 0.01% 1 : 15515 99.86%
23 J4s KJ942 flush 4 0.01% 1 : 15515 99.86%
24 J3s KJ932 flush 4 0.01% 1 : 15515 99.85%
25 T8s KT982 flush 4 0.01% 1 : 15515 99.85%
26 T7s KT972 flush 4 0.01% 1 : 15515 99.84%
27 T6s KT962 flush 4 0.01% 1 : 15515 99.83%
28 T5s KT952 flush 4 0.01% 1 : 15515 99.83%
29 T4s KT942 flush 4 0.01% 1 : 15515 99.82%
30 T3s KT932 flush 4 0.01% 1 : 15515 99.81%
31 87s K9872 flush 4 0.01% 1 : 15515 99.81%
32 86s K9862 flush 4 0.01% 1 : 15515 99.80%
33 85s K9852 flush 4 0.01% 1 : 15515 99.79%
34 84s K9842 flush 4 0.01% 1 : 15515 99.79%
35 83s K9832 flush 4 0.01% 1 : 15515 99.78%
36 76s K9762 flush 4 0.01% 1 : 15515 99.77%
37 75s K9752 flush 4 0.01% 1 : 15515 99.77%
38 74s K9742 flush 4 0.01% 1 : 15515 99.76%
39 73s K9732 flush 4 0.01% 1 : 15515 99.76%
40 65s K9652 flush 4 0.01% 1 : 15515 99.75%
41 64s K9642 flush 4 0.01% 1 : 15515 99.74%
42 63s K9632 flush 4 0.01% 1 : 15515 99.74%
43 54s K9542 flush 4 0.01% 1 : 15515 99.73%
44 53s K9532 flush 4 0.01% 1 : 15515 99.72%
45 43s K9432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK92 three of a kind 64 0.10% 1 : 969 99.71%
47 99 K9992 three of a kind 64 0.10% 1 : 969 99.61%
48 22 K9222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K9 KK992 two pairs 144 0.23% 1 : 430 99.40%
50 K2 KK922 two pairs 144 0.23% 1 : 430 99.17%
51 92 K9922 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK92 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK92 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ92 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ92 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT92 one pair 384 0.62% 1 : 161 96.23%
57 K8 KK982 one pair 384 0.62% 1 : 161 95.61%
58 K7 KK972 one pair 384 0.62% 1 : 161 94.99%
59 K6 KK962 one pair 384 0.62% 1 : 161 94.37%
60 K5 KK952 one pair 384 0.62% 1 : 161 93.75%
61 K4 KK942 one pair 384 0.62% 1 : 161 93.14%
62 K3 KK932 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ92 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ92 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT92 one pair 384 0.62% 1 : 161 90.66%
66 A9 AK992 one pair 384 0.62% 1 : 161 90.04%
67 Q9 KQ992 one pair 384 0.62% 1 : 161 89.42%
68 J9 KJ992 one pair 384 0.62% 1 : 161 88.81%
69 T9 KT992 one pair 384 0.62% 1 : 161 88.19%
70 98 K9982 one pair 384 0.62% 1 : 161 87.57%
71 97 K9972 one pair 384 0.62% 1 : 161 86.95%
72 96 K9962 one pair 384 0.62% 1 : 161 86.33%
73 95 K9952 one pair 384 0.62% 1 : 161 85.71%
74 94 K9942 one pair 384 0.62% 1 : 161 85.09%
75 93 K9932 one pair 384 0.62% 1 : 161 84.47%
76 88 K9882 one pair 384 0.62% 1 : 161 83.86%
77 77 K9772 one pair 384 0.62% 1 : 161 83.24%
78 66 K9662 one pair 384 0.62% 1 : 161 82.62%
79 55 K9552 one pair 384 0.62% 1 : 161 82.00%
80 44 K9442 one pair 384 0.62% 1 : 161 81.38%
81 33 K9332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AK922 one pair 384 0.62% 1 : 161 80.14%
83 Q2 KQ922 one pair 384 0.62% 1 : 161 79.52%
84 J2 KJ922 one pair 384 0.62% 1 : 161 78.91%
85 T2 KT922 one pair 384 0.62% 1 : 161 78.29%
86 82 K9822 one pair 384 0.62% 1 : 161 77.67%
87 72 K9722 one pair 384 0.62% 1 : 161 77.05%
88 62 K9622 one pair 384 0.62% 1 : 161 76.43%
89 52 K9522 one pair 384 0.62% 1 : 161 75.81%
90 42 K9422 one pair 384 0.62% 1 : 161 75.19%
91 32 K9322 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ92 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ92 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT92 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AK982 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AK972 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AK962 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AK952 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AK942 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AK932 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ92 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT92 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 KQ982 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQ972 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQ962 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 KQ952 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 KQ942 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q3 KQ932 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT92 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 KJ982 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 KJ972 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 KJ962 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 KJ952 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 KJ942 high card 1,020 1.64% 1 : 59.8 37.80%
115 J3 KJ932 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 KT982 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 KT972 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 KT962 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 KT952 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 KT942 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 KT932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 K9872 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 K9862 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 K9852 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 K9842 high card 1,020 1.64% 1 : 59.8 19.72%
126 83 K9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 K9762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 K9752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 K9742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 K9732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 K9652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 K9642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 K9632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 K9542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 K9532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 K9432 high card 1,020 1.64% 1 : 59.8 1.64%