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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 AK954 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ954 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ954 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT954 flush 4 0.01% 1 : 15515 99.98%
5 A8s A9854 flush 4 0.01% 1 : 15515 99.97%
6 A7s A9754 flush 4 0.01% 1 : 15515 99.97%
7 A6s A9654 flush 4 0.01% 1 : 15515 99.96%
8 A3s A9543 flush 4 0.01% 1 : 15515 99.95%
9 A2s A9542 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ954 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ954 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT954 flush 4 0.01% 1 : 15515 99.93%
13 K8s K9854 flush 4 0.01% 1 : 15515 99.92%
14 K7s K9754 flush 4 0.01% 1 : 15515 99.92%
15 K6s K9654 flush 4 0.01% 1 : 15515 99.91%
16 K3s K9543 flush 4 0.01% 1 : 15515 99.90%
17 K2s K9542 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ954 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT954 flush 4 0.01% 1 : 15515 99.88%
20 Q8s Q9854 flush 4 0.01% 1 : 15515 99.88%
21 Q7s Q9754 flush 4 0.01% 1 : 15515 99.87%
22 Q6s Q9654 flush 4 0.01% 1 : 15515 99.86%
23 Q3s Q9543 flush 4 0.01% 1 : 15515 99.86%
24 Q2s Q9542 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT954 flush 4 0.01% 1 : 15515 99.85%
26 J8s J9854 flush 4 0.01% 1 : 15515 99.84%
27 J7s J9754 flush 4 0.01% 1 : 15515 99.83%
28 J6s J9654 flush 4 0.01% 1 : 15515 99.83%
29 J3s J9543 flush 4 0.01% 1 : 15515 99.82%
30 J2s J9542 flush 4 0.01% 1 : 15515 99.81%
31 T8s T9854 flush 4 0.01% 1 : 15515 99.81%
32 T7s T9754 flush 4 0.01% 1 : 15515 99.80%
33 T6s T9654 flush 4 0.01% 1 : 15515 99.79%
34 T3s T9543 flush 4 0.01% 1 : 15515 99.79%
35 T2s T9542 flush 4 0.01% 1 : 15515 99.78%
36 87s 98754 flush 4 0.01% 1 : 15515 99.77%
37 86s 98654 flush 4 0.01% 1 : 15515 99.77%
38 83s 98543 flush 4 0.01% 1 : 15515 99.76%
39 82s 98542 flush 4 0.01% 1 : 15515 99.76%
40 76s 97654 flush 4 0.01% 1 : 15515 99.75%
41 73s 97543 flush 4 0.01% 1 : 15515 99.74%
42 72s 97542 flush 4 0.01% 1 : 15515 99.74%
43 63s 96543 flush 4 0.01% 1 : 15515 99.73%
44 62s 96542 flush 4 0.01% 1 : 15515 99.72%
45 32s 95432 flush 4 0.01% 1 : 15515 99.72%
 
46 99 99954 three of a kind 64 0.10% 1 : 969 99.71%
47 55 95554 three of a kind 64 0.10% 1 : 969 99.61%
48 44 95444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 95 99554 two pairs 144 0.23% 1 : 430 99.40%
50 94 99544 two pairs 144 0.23% 1 : 430 99.17%
51 54 95544 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA954 one pair 384 0.62% 1 : 161 98.70%
53 KK KK954 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ954 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ954 one pair 384 0.62% 1 : 161 96.85%
56 TT TT954 one pair 384 0.62% 1 : 161 96.23%
57 A9 A9954 one pair 384 0.62% 1 : 161 95.61%
58 K9 K9954 one pair 384 0.62% 1 : 161 94.99%
59 Q9 Q9954 one pair 384 0.62% 1 : 161 94.37%
60 J9 J9954 one pair 384 0.62% 1 : 161 93.75%
61 T9 T9954 one pair 384 0.62% 1 : 161 93.14%
62 98 99854 one pair 384 0.62% 1 : 161 92.52%
63 97 99754 one pair 384 0.62% 1 : 161 91.90%
64 96 99654 one pair 384 0.62% 1 : 161 91.28%
65 93 99543 one pair 384 0.62% 1 : 161 90.66%
66 92 99542 one pair 384 0.62% 1 : 161 90.04%
67 88 98854 one pair 384 0.62% 1 : 161 89.42%
68 77 97754 one pair 384 0.62% 1 : 161 88.81%
69 66 96654 one pair 384 0.62% 1 : 161 88.19%
70 A5 A9554 one pair 384 0.62% 1 : 161 87.57%
71 K5 K9554 one pair 384 0.62% 1 : 161 86.95%
72 Q5 Q9554 one pair 384 0.62% 1 : 161 86.33%
73 J5 J9554 one pair 384 0.62% 1 : 161 85.71%
74 T5 T9554 one pair 384 0.62% 1 : 161 85.09%
75 85 98554 one pair 384 0.62% 1 : 161 84.47%
76 75 97554 one pair 384 0.62% 1 : 161 83.86%
77 65 96554 one pair 384 0.62% 1 : 161 83.24%
78 53 95543 one pair 384 0.62% 1 : 161 82.62%
79 52 95542 one pair 384 0.62% 1 : 161 82.00%
80 A4 A9544 one pair 384 0.62% 1 : 161 81.38%
81 K4 K9544 one pair 384 0.62% 1 : 161 80.76%
82 Q4 Q9544 one pair 384 0.62% 1 : 161 80.14%
83 J4 J9544 one pair 384 0.62% 1 : 161 79.52%
84 T4 T9544 one pair 384 0.62% 1 : 161 78.91%
85 84 98544 one pair 384 0.62% 1 : 161 78.29%
86 74 97544 one pair 384 0.62% 1 : 161 77.67%
87 64 96544 one pair 384 0.62% 1 : 161 77.05%
88 43 95443 one pair 384 0.62% 1 : 161 76.43%
89 42 95442 one pair 384 0.62% 1 : 161 75.81%
90 33 95433 one pair 384 0.62% 1 : 161 75.19%
91 22 95422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK954 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ954 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ954 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT954 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 A9854 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 A9754 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 A9654 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 A9543 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 A9542 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ954 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ954 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT954 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 K9854 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 K9754 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 K9654 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 K9543 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 K9542 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ954 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT954 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 Q9854 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 Q9754 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 Q9654 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 Q9543 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 Q9542 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT954 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 J9854 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 J9754 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 J9654 high card 1,020 1.64% 1 : 59.8 29.58%
120 J3 J9543 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 J9542 high card 1,020 1.64% 1 : 59.8 26.30%
122 T8 T9854 high card 1,020 1.64% 1 : 59.8 24.65%
123 T7 T9754 high card 1,020 1.64% 1 : 59.8 23.01%
124 T6 T9654 high card 1,020 1.64% 1 : 59.8 21.37%
125 T3 T9543 high card 1,020 1.64% 1 : 59.8 19.72%
126 T2 T9542 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 98754 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 98654 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 98543 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 98542 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 97654 high card 1,020 1.64% 1 : 59.8 9.86%
132 73 97543 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 97542 high card 1,020 1.64% 1 : 59.8 6.57%
134 63 96543 high card 1,020 1.64% 1 : 59.8 4.93%
135 62 96542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 95432 high card 1,020 1.64% 1 : 59.8 1.64%