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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 AQs AKQ94 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ94 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT94 flush 4 0.01% 1 : 15515 99.99%
4 A8s AK984 flush 4 0.01% 1 : 15515 99.98%
5 A7s AK974 flush 4 0.01% 1 : 15515 99.97%
6 A6s AK964 flush 4 0.01% 1 : 15515 99.97%
7 A5s AK954 flush 4 0.01% 1 : 15515 99.96%
8 A3s AK943 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK942 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ94 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT94 flush 4 0.01% 1 : 15515 99.94%
12 Q8s KQ984 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQ974 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQ964 flush 4 0.01% 1 : 15515 99.92%
15 Q5s KQ954 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQ943 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ942 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT94 flush 4 0.01% 1 : 15515 99.89%
19 J8s KJ984 flush 4 0.01% 1 : 15515 99.88%
20 J7s KJ974 flush 4 0.01% 1 : 15515 99.88%
21 J6s KJ964 flush 4 0.01% 1 : 15515 99.87%
22 J5s KJ954 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJ943 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ942 flush 4 0.01% 1 : 15515 99.85%
25 T8s KT984 flush 4 0.01% 1 : 15515 99.85%
26 T7s KT974 flush 4 0.01% 1 : 15515 99.84%
27 T6s KT964 flush 4 0.01% 1 : 15515 99.83%
28 T5s KT954 flush 4 0.01% 1 : 15515 99.83%
29 T3s KT943 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT942 flush 4 0.01% 1 : 15515 99.81%
31 87s K9874 flush 4 0.01% 1 : 15515 99.81%
32 86s K9864 flush 4 0.01% 1 : 15515 99.80%
33 85s K9854 flush 4 0.01% 1 : 15515 99.79%
34 83s K9843 flush 4 0.01% 1 : 15515 99.79%
35 82s K9842 flush 4 0.01% 1 : 15515 99.78%
36 76s K9764 flush 4 0.01% 1 : 15515 99.77%
37 75s K9754 flush 4 0.01% 1 : 15515 99.77%
38 73s K9743 flush 4 0.01% 1 : 15515 99.76%
39 72s K9742 flush 4 0.01% 1 : 15515 99.76%
40 65s K9654 flush 4 0.01% 1 : 15515 99.75%
41 63s K9643 flush 4 0.01% 1 : 15515 99.74%
42 62s K9642 flush 4 0.01% 1 : 15515 99.74%
43 53s K9543 flush 4 0.01% 1 : 15515 99.73%
44 52s K9542 flush 4 0.01% 1 : 15515 99.72%
45 32s K9432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK94 three of a kind 64 0.10% 1 : 969 99.71%
47 99 K9994 three of a kind 64 0.10% 1 : 969 99.61%
48 44 K9444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K9 KK994 two pairs 144 0.23% 1 : 430 99.40%
50 K4 KK944 two pairs 144 0.23% 1 : 430 99.17%
51 94 K9944 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK94 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK94 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ94 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ94 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT94 one pair 384 0.62% 1 : 161 96.23%
57 K8 KK984 one pair 384 0.62% 1 : 161 95.61%
58 K7 KK974 one pair 384 0.62% 1 : 161 94.99%
59 K6 KK964 one pair 384 0.62% 1 : 161 94.37%
60 K5 KK954 one pair 384 0.62% 1 : 161 93.75%
61 K3 KK943 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK942 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ94 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ94 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT94 one pair 384 0.62% 1 : 161 90.66%
66 A9 AK994 one pair 384 0.62% 1 : 161 90.04%
67 Q9 KQ994 one pair 384 0.62% 1 : 161 89.42%
68 J9 KJ994 one pair 384 0.62% 1 : 161 88.81%
69 T9 KT994 one pair 384 0.62% 1 : 161 88.19%
70 98 K9984 one pair 384 0.62% 1 : 161 87.57%
71 97 K9974 one pair 384 0.62% 1 : 161 86.95%
72 96 K9964 one pair 384 0.62% 1 : 161 86.33%
73 95 K9954 one pair 384 0.62% 1 : 161 85.71%
74 93 K9943 one pair 384 0.62% 1 : 161 85.09%
75 92 K9942 one pair 384 0.62% 1 : 161 84.47%
76 88 K9884 one pair 384 0.62% 1 : 161 83.86%
77 77 K9774 one pair 384 0.62% 1 : 161 83.24%
78 66 K9664 one pair 384 0.62% 1 : 161 82.62%
79 55 K9554 one pair 384 0.62% 1 : 161 82.00%
80 A4 AK944 one pair 384 0.62% 1 : 161 81.38%
81 Q4 KQ944 one pair 384 0.62% 1 : 161 80.76%
82 J4 KJ944 one pair 384 0.62% 1 : 161 80.14%
83 T4 KT944 one pair 384 0.62% 1 : 161 79.52%
84 84 K9844 one pair 384 0.62% 1 : 161 78.91%
85 74 K9744 one pair 384 0.62% 1 : 161 78.29%
86 64 K9644 one pair 384 0.62% 1 : 161 77.67%
87 54 K9544 one pair 384 0.62% 1 : 161 77.05%
88 43 K9443 one pair 384 0.62% 1 : 161 76.43%
89 42 K9442 one pair 384 0.62% 1 : 161 75.81%
90 33 K9433 one pair 384 0.62% 1 : 161 75.19%
91 22 K9422 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ94 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ94 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT94 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AK984 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AK974 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AK964 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AK954 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AK943 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK942 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ94 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT94 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 KQ984 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQ974 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQ964 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 KQ954 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQ943 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ942 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT94 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 KJ984 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 KJ974 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 KJ964 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 KJ954 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJ943 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ942 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 KT984 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 KT974 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 KT964 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 KT954 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 KT943 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT942 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 K9874 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 K9864 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 K9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 K9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 K9842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 K9764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 K9754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 K9743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 K9742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 K9654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 K9643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 K9642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 K9543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 K9542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 K9432 high card 1,020 1.64% 1 : 59.8 1.64%