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 AKQ94 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ94 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT94 flush 4 0.01% 1 : 15515 99.99%
4 A8s AQ984 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQ974 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQ964 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQ954 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQ943 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQ942 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ94 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT94 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQ984 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQ974 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQ964 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQ954 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQ943 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQ942 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT94 flush 4 0.01% 1 : 15515 99.89%
19 J8s QJ984 flush 4 0.01% 1 : 15515 99.88%
20 J7s QJ974 flush 4 0.01% 1 : 15515 99.88%
21 J6s QJ964 flush 4 0.01% 1 : 15515 99.87%
22 J5s QJ954 flush 4 0.01% 1 : 15515 99.86%
23 J3s QJ943 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJ942 flush 4 0.01% 1 : 15515 99.85%
25 T8s QT984 flush 4 0.01% 1 : 15515 99.85%
26 T7s QT974 flush 4 0.01% 1 : 15515 99.84%
27 T6s QT964 flush 4 0.01% 1 : 15515 99.83%
28 T5s QT954 flush 4 0.01% 1 : 15515 99.83%
29 T3s QT943 flush 4 0.01% 1 : 15515 99.82%
30 T2s QT942 flush 4 0.01% 1 : 15515 99.81%
31 87s Q9874 flush 4 0.01% 1 : 15515 99.81%
32 86s Q9864 flush 4 0.01% 1 : 15515 99.80%
33 85s Q9854 flush 4 0.01% 1 : 15515 99.79%
34 83s Q9843 flush 4 0.01% 1 : 15515 99.79%
35 82s Q9842 flush 4 0.01% 1 : 15515 99.78%
36 76s Q9764 flush 4 0.01% 1 : 15515 99.77%
37 75s Q9754 flush 4 0.01% 1 : 15515 99.77%
38 73s Q9743 flush 4 0.01% 1 : 15515 99.76%
39 72s Q9742 flush 4 0.01% 1 : 15515 99.76%
40 65s Q9654 flush 4 0.01% 1 : 15515 99.75%
41 63s Q9643 flush 4 0.01% 1 : 15515 99.74%
42 62s Q9642 flush 4 0.01% 1 : 15515 99.74%
43 53s Q9543 flush 4 0.01% 1 : 15515 99.73%
44 52s Q9542 flush 4 0.01% 1 : 15515 99.72%
45 32s Q9432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ94 three of a kind 64 0.10% 1 : 969 99.71%
47 99 Q9994 three of a kind 64 0.10% 1 : 969 99.61%
48 44 Q9444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q9 QQ994 two pairs 144 0.23% 1 : 430 99.40%
50 Q4 QQ944 two pairs 144 0.23% 1 : 430 99.17%
51 94 Q9944 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ94 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ94 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ94 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ94 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ94 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT94 one pair 384 0.62% 1 : 161 95.61%
58 Q8 QQ984 one pair 384 0.62% 1 : 161 94.99%
59 Q7 QQ974 one pair 384 0.62% 1 : 161 94.37%
60 Q6 QQ964 one pair 384 0.62% 1 : 161 93.75%
61 Q5 QQ954 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQ943 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQ942 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ94 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT94 one pair 384 0.62% 1 : 161 90.66%
66 A9 AQ994 one pair 384 0.62% 1 : 161 90.04%
67 K9 KQ994 one pair 384 0.62% 1 : 161 89.42%
68 J9 QJ994 one pair 384 0.62% 1 : 161 88.81%
69 T9 QT994 one pair 384 0.62% 1 : 161 88.19%
70 98 Q9984 one pair 384 0.62% 1 : 161 87.57%
71 97 Q9974 one pair 384 0.62% 1 : 161 86.95%
72 96 Q9964 one pair 384 0.62% 1 : 161 86.33%
73 95 Q9954 one pair 384 0.62% 1 : 161 85.71%
74 93 Q9943 one pair 384 0.62% 1 : 161 85.09%
75 92 Q9942 one pair 384 0.62% 1 : 161 84.47%
76 88 Q9884 one pair 384 0.62% 1 : 161 83.86%
77 77 Q9774 one pair 384 0.62% 1 : 161 83.24%
78 66 Q9664 one pair 384 0.62% 1 : 161 82.62%
79 55 Q9554 one pair 384 0.62% 1 : 161 82.00%
80 A4 AQ944 one pair 384 0.62% 1 : 161 81.38%
81 K4 KQ944 one pair 384 0.62% 1 : 161 80.76%
82 J4 QJ944 one pair 384 0.62% 1 : 161 80.14%
83 T4 QT944 one pair 384 0.62% 1 : 161 79.52%
84 84 Q9844 one pair 384 0.62% 1 : 161 78.91%
85 74 Q9744 one pair 384 0.62% 1 : 161 78.29%
86 64 Q9644 one pair 384 0.62% 1 : 161 77.67%
87 54 Q9544 one pair 384 0.62% 1 : 161 77.05%
88 43 Q9443 one pair 384 0.62% 1 : 161 76.43%
89 42 Q9442 one pair 384 0.62% 1 : 161 75.81%
90 33 Q9433 one pair 384 0.62% 1 : 161 75.19%
91 22 Q9422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ94 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ94 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT94 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AQ984 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQ974 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQ964 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQ954 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQ943 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQ942 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ94 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT94 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQ984 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQ974 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQ964 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQ954 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQ943 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQ942 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT94 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 QJ984 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 QJ974 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 QJ964 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 QJ954 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 QJ943 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJ942 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 QT984 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 QT974 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 QT964 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 QT954 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 QT943 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 QT942 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 Q9874 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 Q9864 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 Q9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 Q9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 Q9842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 Q9764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 Q9754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 Q9743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 Q9742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 Q9654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 Q9643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 Q9642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 Q9543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 Q9542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 Q9432 high card 1,020 1.64% 1 : 59.8 1.64%