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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 AKJ94 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ94 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT94 flush 4 0.01% 1 : 15515 99.99%
4 A8s AJ984 flush 4 0.01% 1 : 15515 99.98%
5 A7s AJ974 flush 4 0.01% 1 : 15515 99.97%
6 A6s AJ964 flush 4 0.01% 1 : 15515 99.97%
7 A5s AJ954 flush 4 0.01% 1 : 15515 99.96%
8 A3s AJ943 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJ942 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ94 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT94 flush 4 0.01% 1 : 15515 99.94%
12 K8s KJ984 flush 4 0.01% 1 : 15515 99.93%
13 K7s KJ974 flush 4 0.01% 1 : 15515 99.92%
14 K6s KJ964 flush 4 0.01% 1 : 15515 99.92%
15 K5s KJ954 flush 4 0.01% 1 : 15515 99.91%
16 K3s KJ943 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJ942 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT94 flush 4 0.01% 1 : 15515 99.89%
19 Q8s QJ984 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QJ974 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJ964 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJ954 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QJ943 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJ942 flush 4 0.01% 1 : 15515 99.85%
25 T8s JT984 flush 4 0.01% 1 : 15515 99.85%
26 T7s JT974 flush 4 0.01% 1 : 15515 99.84%
27 T6s JT964 flush 4 0.01% 1 : 15515 99.83%
28 T5s JT954 flush 4 0.01% 1 : 15515 99.83%
29 T3s JT943 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT942 flush 4 0.01% 1 : 15515 99.81%
31 87s J9874 flush 4 0.01% 1 : 15515 99.81%
32 86s J9864 flush 4 0.01% 1 : 15515 99.80%
33 85s J9854 flush 4 0.01% 1 : 15515 99.79%
34 83s J9843 flush 4 0.01% 1 : 15515 99.79%
35 82s J9842 flush 4 0.01% 1 : 15515 99.78%
36 76s J9764 flush 4 0.01% 1 : 15515 99.77%
37 75s J9754 flush 4 0.01% 1 : 15515 99.77%
38 73s J9743 flush 4 0.01% 1 : 15515 99.76%
39 72s J9742 flush 4 0.01% 1 : 15515 99.76%
40 65s J9654 flush 4 0.01% 1 : 15515 99.75%
41 63s J9643 flush 4 0.01% 1 : 15515 99.74%
42 62s J9642 flush 4 0.01% 1 : 15515 99.74%
43 53s J9543 flush 4 0.01% 1 : 15515 99.73%
44 52s J9542 flush 4 0.01% 1 : 15515 99.72%
45 32s J9432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ94 three of a kind 64 0.10% 1 : 969 99.71%
47 99 J9994 three of a kind 64 0.10% 1 : 969 99.61%
48 44 J9444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J9 JJ994 two pairs 144 0.23% 1 : 430 99.40%
50 J4 JJ944 two pairs 144 0.23% 1 : 430 99.17%
51 94 J9944 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ94 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ94 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ94 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ94 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ94 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ94 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT94 one pair 384 0.62% 1 : 161 94.99%
59 J8 JJ984 one pair 384 0.62% 1 : 161 94.37%
60 J7 JJ974 one pair 384 0.62% 1 : 161 93.75%
61 J6 JJ964 one pair 384 0.62% 1 : 161 93.14%
62 J5 JJ954 one pair 384 0.62% 1 : 161 92.52%
63 J3 JJ943 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJ942 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT94 one pair 384 0.62% 1 : 161 90.66%
66 A9 AJ994 one pair 384 0.62% 1 : 161 90.04%
67 K9 KJ994 one pair 384 0.62% 1 : 161 89.42%
68 Q9 QJ994 one pair 384 0.62% 1 : 161 88.81%
69 T9 JT994 one pair 384 0.62% 1 : 161 88.19%
70 98 J9984 one pair 384 0.62% 1 : 161 87.57%
71 97 J9974 one pair 384 0.62% 1 : 161 86.95%
72 96 J9964 one pair 384 0.62% 1 : 161 86.33%
73 95 J9954 one pair 384 0.62% 1 : 161 85.71%
74 93 J9943 one pair 384 0.62% 1 : 161 85.09%
75 92 J9942 one pair 384 0.62% 1 : 161 84.47%
76 88 J9884 one pair 384 0.62% 1 : 161 83.86%
77 77 J9774 one pair 384 0.62% 1 : 161 83.24%
78 66 J9664 one pair 384 0.62% 1 : 161 82.62%
79 55 J9554 one pair 384 0.62% 1 : 161 82.00%
80 A4 AJ944 one pair 384 0.62% 1 : 161 81.38%
81 K4 KJ944 one pair 384 0.62% 1 : 161 80.76%
82 Q4 QJ944 one pair 384 0.62% 1 : 161 80.14%
83 T4 JT944 one pair 384 0.62% 1 : 161 79.52%
84 84 J9844 one pair 384 0.62% 1 : 161 78.91%
85 74 J9744 one pair 384 0.62% 1 : 161 78.29%
86 64 J9644 one pair 384 0.62% 1 : 161 77.67%
87 54 J9544 one pair 384 0.62% 1 : 161 77.05%
88 43 J9443 one pair 384 0.62% 1 : 161 76.43%
89 42 J9442 one pair 384 0.62% 1 : 161 75.81%
90 33 J9433 one pair 384 0.62% 1 : 161 75.19%
91 22 J9422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ94 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ94 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT94 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AJ984 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AJ974 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AJ964 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AJ954 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AJ943 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJ942 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ94 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT94 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KJ984 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KJ974 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KJ964 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KJ954 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KJ943 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJ942 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT94 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q8 QJ984 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QJ974 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJ964 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJ954 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QJ943 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJ942 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 JT984 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 JT974 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 JT964 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 JT954 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 JT943 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT942 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 J9874 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 J9864 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 J9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 J9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 J9842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 J9764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 J9754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 J9743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 J9742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 J9654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 J9643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 J9642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 J9543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 J9542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 J9432 high card 1,020 1.64% 1 : 59.8 1.64%