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 AKT92 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT92 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT92 flush 4 0.01% 1 : 15515 99.99%
4 A8s AT982 flush 4 0.01% 1 : 15515 99.98%
5 A7s AT972 flush 4 0.01% 1 : 15515 99.97%
6 A6s AT962 flush 4 0.01% 1 : 15515 99.97%
7 A5s AT952 flush 4 0.01% 1 : 15515 99.96%
8 A4s AT942 flush 4 0.01% 1 : 15515 99.95%
9 A3s AT932 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT92 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT92 flush 4 0.01% 1 : 15515 99.94%
12 K8s KT982 flush 4 0.01% 1 : 15515 99.93%
13 K7s KT972 flush 4 0.01% 1 : 15515 99.92%
14 K6s KT962 flush 4 0.01% 1 : 15515 99.92%
15 K5s KT952 flush 4 0.01% 1 : 15515 99.91%
16 K4s KT942 flush 4 0.01% 1 : 15515 99.90%
17 K3s KT932 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT92 flush 4 0.01% 1 : 15515 99.89%
19 Q8s QT982 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QT972 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QT962 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QT952 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QT942 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QT932 flush 4 0.01% 1 : 15515 99.85%
25 J8s JT982 flush 4 0.01% 1 : 15515 99.85%
26 J7s JT972 flush 4 0.01% 1 : 15515 99.84%
27 J6s JT962 flush 4 0.01% 1 : 15515 99.83%
28 J5s JT952 flush 4 0.01% 1 : 15515 99.83%
29 J4s JT942 flush 4 0.01% 1 : 15515 99.82%
30 J3s JT932 flush 4 0.01% 1 : 15515 99.81%
31 87s T9872 flush 4 0.01% 1 : 15515 99.81%
32 86s T9862 flush 4 0.01% 1 : 15515 99.80%
33 85s T9852 flush 4 0.01% 1 : 15515 99.79%
34 84s T9842 flush 4 0.01% 1 : 15515 99.79%
35 83s T9832 flush 4 0.01% 1 : 15515 99.78%
36 76s T9762 flush 4 0.01% 1 : 15515 99.77%
37 75s T9752 flush 4 0.01% 1 : 15515 99.77%
38 74s T9742 flush 4 0.01% 1 : 15515 99.76%
39 73s T9732 flush 4 0.01% 1 : 15515 99.76%
40 65s T9652 flush 4 0.01% 1 : 15515 99.75%
41 64s T9642 flush 4 0.01% 1 : 15515 99.74%
42 63s T9632 flush 4 0.01% 1 : 15515 99.74%
43 54s T9542 flush 4 0.01% 1 : 15515 99.73%
44 53s T9532 flush 4 0.01% 1 : 15515 99.72%
45 43s T9432 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT92 three of a kind 64 0.10% 1 : 969 99.71%
47 99 T9992 three of a kind 64 0.10% 1 : 969 99.61%
48 22 T9222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T9 TT992 two pairs 144 0.23% 1 : 430 99.40%
50 T2 TT922 two pairs 144 0.23% 1 : 430 99.17%
51 92 T9922 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT92 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT92 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT92 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT92 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT92 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT92 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT92 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT92 one pair 384 0.62% 1 : 161 94.37%
60 T8 TT982 one pair 384 0.62% 1 : 161 93.75%
61 T7 TT972 one pair 384 0.62% 1 : 161 93.14%
62 T6 TT962 one pair 384 0.62% 1 : 161 92.52%
63 T5 TT952 one pair 384 0.62% 1 : 161 91.90%
64 T4 TT942 one pair 384 0.62% 1 : 161 91.28%
65 T3 TT932 one pair 384 0.62% 1 : 161 90.66%
66 A9 AT992 one pair 384 0.62% 1 : 161 90.04%
67 K9 KT992 one pair 384 0.62% 1 : 161 89.42%
68 Q9 QT992 one pair 384 0.62% 1 : 161 88.81%
69 J9 JT992 one pair 384 0.62% 1 : 161 88.19%
70 98 T9982 one pair 384 0.62% 1 : 161 87.57%
71 97 T9972 one pair 384 0.62% 1 : 161 86.95%
72 96 T9962 one pair 384 0.62% 1 : 161 86.33%
73 95 T9952 one pair 384 0.62% 1 : 161 85.71%
74 94 T9942 one pair 384 0.62% 1 : 161 85.09%
75 93 T9932 one pair 384 0.62% 1 : 161 84.47%
76 88 T9882 one pair 384 0.62% 1 : 161 83.86%
77 77 T9772 one pair 384 0.62% 1 : 161 83.24%
78 66 T9662 one pair 384 0.62% 1 : 161 82.62%
79 55 T9552 one pair 384 0.62% 1 : 161 82.00%
80 44 T9442 one pair 384 0.62% 1 : 161 81.38%
81 33 T9332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AT922 one pair 384 0.62% 1 : 161 80.14%
83 K2 KT922 one pair 384 0.62% 1 : 161 79.52%
84 Q2 QT922 one pair 384 0.62% 1 : 161 78.91%
85 J2 JT922 one pair 384 0.62% 1 : 161 78.29%
86 82 T9822 one pair 384 0.62% 1 : 161 77.67%
87 72 T9722 one pair 384 0.62% 1 : 161 77.05%
88 62 T9622 one pair 384 0.62% 1 : 161 76.43%
89 52 T9522 one pair 384 0.62% 1 : 161 75.81%
90 42 T9422 one pair 384 0.62% 1 : 161 75.19%
91 32 T9322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT92 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT92 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT92 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AT982 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AT972 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AT962 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AT952 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AT942 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AT932 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT92 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT92 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KT982 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KT972 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KT962 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KT952 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KT942 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KT932 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT92 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q8 QT982 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QT972 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QT962 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QT952 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QT942 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QT932 high card 1,020 1.64% 1 : 59.8 36.16%
116 J8 JT982 high card 1,020 1.64% 1 : 59.8 34.51%
117 J7 JT972 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 JT962 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 JT952 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 JT942 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 JT932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 T9872 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 T9862 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 T9852 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 T9842 high card 1,020 1.64% 1 : 59.8 19.72%
126 83 T9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 T9762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 T9752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 T9742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 T9732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 T9652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 T9642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 T9632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 T9542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 T9532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 T9432 high card 1,020 1.64% 1 : 59.8 1.64%