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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 AK962 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ962 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ962 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT962 flush 4 0.01% 1 : 15515 99.98%
5 A8s A9862 flush 4 0.01% 1 : 15515 99.97%
6 A7s A9762 flush 4 0.01% 1 : 15515 99.97%
7 A5s A9652 flush 4 0.01% 1 : 15515 99.96%
8 A4s A9642 flush 4 0.01% 1 : 15515 99.95%
9 A3s A9632 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ962 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ962 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT962 flush 4 0.01% 1 : 15515 99.93%
13 K8s K9862 flush 4 0.01% 1 : 15515 99.92%
14 K7s K9762 flush 4 0.01% 1 : 15515 99.92%
15 K5s K9652 flush 4 0.01% 1 : 15515 99.91%
16 K4s K9642 flush 4 0.01% 1 : 15515 99.90%
17 K3s K9632 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ962 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT962 flush 4 0.01% 1 : 15515 99.88%
20 Q8s Q9862 flush 4 0.01% 1 : 15515 99.88%
21 Q7s Q9762 flush 4 0.01% 1 : 15515 99.87%
22 Q5s Q9652 flush 4 0.01% 1 : 15515 99.86%
23 Q4s Q9642 flush 4 0.01% 1 : 15515 99.86%
24 Q3s Q9632 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT962 flush 4 0.01% 1 : 15515 99.85%
26 J8s J9862 flush 4 0.01% 1 : 15515 99.84%
27 J7s J9762 flush 4 0.01% 1 : 15515 99.83%
28 J5s J9652 flush 4 0.01% 1 : 15515 99.83%
29 J4s J9642 flush 4 0.01% 1 : 15515 99.82%
30 J3s J9632 flush 4 0.01% 1 : 15515 99.81%
31 T8s T9862 flush 4 0.01% 1 : 15515 99.81%
32 T7s T9762 flush 4 0.01% 1 : 15515 99.80%
33 T5s T9652 flush 4 0.01% 1 : 15515 99.79%
34 T4s T9642 flush 4 0.01% 1 : 15515 99.79%
35 T3s T9632 flush 4 0.01% 1 : 15515 99.78%
36 87s 98762 flush 4 0.01% 1 : 15515 99.77%
37 85s 98652 flush 4 0.01% 1 : 15515 99.77%
38 84s 98642 flush 4 0.01% 1 : 15515 99.76%
39 83s 98632 flush 4 0.01% 1 : 15515 99.76%
40 75s 97652 flush 4 0.01% 1 : 15515 99.75%
41 74s 97642 flush 4 0.01% 1 : 15515 99.74%
42 73s 97632 flush 4 0.01% 1 : 15515 99.74%
43 54s 96542 flush 4 0.01% 1 : 15515 99.73%
44 53s 96532 flush 4 0.01% 1 : 15515 99.72%
45 43s 96432 flush 4 0.01% 1 : 15515 99.72%
 
46 99 99962 three of a kind 64 0.10% 1 : 969 99.71%
47 66 96662 three of a kind 64 0.10% 1 : 969 99.61%
48 22 96222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 96 99662 two pairs 144 0.23% 1 : 430 99.40%
50 92 99622 two pairs 144 0.23% 1 : 430 99.17%
51 62 96622 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA962 one pair 384 0.62% 1 : 161 98.70%
53 KK KK962 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ962 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ962 one pair 384 0.62% 1 : 161 96.85%
56 TT TT962 one pair 384 0.62% 1 : 161 96.23%
57 A9 A9962 one pair 384 0.62% 1 : 161 95.61%
58 K9 K9962 one pair 384 0.62% 1 : 161 94.99%
59 Q9 Q9962 one pair 384 0.62% 1 : 161 94.37%
60 J9 J9962 one pair 384 0.62% 1 : 161 93.75%
61 T9 T9962 one pair 384 0.62% 1 : 161 93.14%
62 98 99862 one pair 384 0.62% 1 : 161 92.52%
63 97 99762 one pair 384 0.62% 1 : 161 91.90%
64 95 99652 one pair 384 0.62% 1 : 161 91.28%
65 94 99642 one pair 384 0.62% 1 : 161 90.66%
66 93 99632 one pair 384 0.62% 1 : 161 90.04%
67 88 98862 one pair 384 0.62% 1 : 161 89.42%
68 77 97762 one pair 384 0.62% 1 : 161 88.81%
69 A6 A9662 one pair 384 0.62% 1 : 161 88.19%
70 K6 K9662 one pair 384 0.62% 1 : 161 87.57%
71 Q6 Q9662 one pair 384 0.62% 1 : 161 86.95%
72 J6 J9662 one pair 384 0.62% 1 : 161 86.33%
73 T6 T9662 one pair 384 0.62% 1 : 161 85.71%
74 86 98662 one pair 384 0.62% 1 : 161 85.09%
75 76 97662 one pair 384 0.62% 1 : 161 84.47%
76 65 96652 one pair 384 0.62% 1 : 161 83.86%
77 64 96642 one pair 384 0.62% 1 : 161 83.24%
78 63 96632 one pair 384 0.62% 1 : 161 82.62%
79 55 96552 one pair 384 0.62% 1 : 161 82.00%
80 44 96442 one pair 384 0.62% 1 : 161 81.38%
81 33 96332 one pair 384 0.62% 1 : 161 80.76%
82 A2 A9622 one pair 384 0.62% 1 : 161 80.14%
83 K2 K9622 one pair 384 0.62% 1 : 161 79.52%
84 Q2 Q9622 one pair 384 0.62% 1 : 161 78.91%
85 J2 J9622 one pair 384 0.62% 1 : 161 78.29%
86 T2 T9622 one pair 384 0.62% 1 : 161 77.67%
87 82 98622 one pair 384 0.62% 1 : 161 77.05%
88 72 97622 one pair 384 0.62% 1 : 161 76.43%
89 52 96522 one pair 384 0.62% 1 : 161 75.81%
90 42 96422 one pair 384 0.62% 1 : 161 75.19%
91 32 96322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK962 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ962 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ962 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT962 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 A9862 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 A9762 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 A9652 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 A9642 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 A9632 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ962 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ962 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT962 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 K9862 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 K9762 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 K9652 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 K9642 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 K9632 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ962 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT962 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 Q9862 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 Q9762 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 Q9652 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 Q9642 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 Q9632 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT962 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 J9862 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 J9762 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 J9652 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 J9642 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 J9632 high card 1,020 1.64% 1 : 59.8 26.30%
122 T8 T9862 high card 1,020 1.64% 1 : 59.8 24.65%
123 T7 T9762 high card 1,020 1.64% 1 : 59.8 23.01%
124 T5 T9652 high card 1,020 1.64% 1 : 59.8 21.37%
125 T4 T9642 high card 1,020 1.64% 1 : 59.8 19.72%
126 T3 T9632 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 98762 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 98652 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 98642 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 98632 high card 1,020 1.64% 1 : 59.8 11.50%
131 75 97652 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 97642 high card 1,020 1.64% 1 : 59.8 8.22%
133 73 97632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 96542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 96532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 96432 high card 1,020 1.64% 1 : 59.8 1.64%