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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 AK963 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ963 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ963 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT963 flush 4 0.01% 1 : 15515 99.98%
5 A8s A9863 flush 4 0.01% 1 : 15515 99.97%
6 A7s A9763 flush 4 0.01% 1 : 15515 99.97%
7 A5s A9653 flush 4 0.01% 1 : 15515 99.96%
8 A4s A9643 flush 4 0.01% 1 : 15515 99.95%
9 A2s A9632 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ963 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ963 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT963 flush 4 0.01% 1 : 15515 99.93%
13 K8s K9863 flush 4 0.01% 1 : 15515 99.92%
14 K7s K9763 flush 4 0.01% 1 : 15515 99.92%
15 K5s K9653 flush 4 0.01% 1 : 15515 99.91%
16 K4s K9643 flush 4 0.01% 1 : 15515 99.90%
17 K2s K9632 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ963 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT963 flush 4 0.01% 1 : 15515 99.88%
20 Q8s Q9863 flush 4 0.01% 1 : 15515 99.88%
21 Q7s Q9763 flush 4 0.01% 1 : 15515 99.87%
22 Q5s Q9653 flush 4 0.01% 1 : 15515 99.86%
23 Q4s Q9643 flush 4 0.01% 1 : 15515 99.86%
24 Q2s Q9632 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT963 flush 4 0.01% 1 : 15515 99.85%
26 J8s J9863 flush 4 0.01% 1 : 15515 99.84%
27 J7s J9763 flush 4 0.01% 1 : 15515 99.83%
28 J5s J9653 flush 4 0.01% 1 : 15515 99.83%
29 J4s J9643 flush 4 0.01% 1 : 15515 99.82%
30 J2s J9632 flush 4 0.01% 1 : 15515 99.81%
31 T8s T9863 flush 4 0.01% 1 : 15515 99.81%
32 T7s T9763 flush 4 0.01% 1 : 15515 99.80%
33 T5s T9653 flush 4 0.01% 1 : 15515 99.79%
34 T4s T9643 flush 4 0.01% 1 : 15515 99.79%
35 T2s T9632 flush 4 0.01% 1 : 15515 99.78%
36 87s 98763 flush 4 0.01% 1 : 15515 99.77%
37 85s 98653 flush 4 0.01% 1 : 15515 99.77%
38 84s 98643 flush 4 0.01% 1 : 15515 99.76%
39 82s 98632 flush 4 0.01% 1 : 15515 99.76%
40 75s 97653 flush 4 0.01% 1 : 15515 99.75%
41 74s 97643 flush 4 0.01% 1 : 15515 99.74%
42 72s 97632 flush 4 0.01% 1 : 15515 99.74%
43 54s 96543 flush 4 0.01% 1 : 15515 99.73%
44 52s 96532 flush 4 0.01% 1 : 15515 99.72%
45 42s 96432 flush 4 0.01% 1 : 15515 99.72%
 
46 99 99963 three of a kind 64 0.10% 1 : 969 99.71%
47 66 96663 three of a kind 64 0.10% 1 : 969 99.61%
48 33 96333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 96 99663 two pairs 144 0.23% 1 : 430 99.40%
50 93 99633 two pairs 144 0.23% 1 : 430 99.17%
51 63 96633 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA963 one pair 384 0.62% 1 : 161 98.70%
53 KK KK963 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ963 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ963 one pair 384 0.62% 1 : 161 96.85%
56 TT TT963 one pair 384 0.62% 1 : 161 96.23%
57 A9 A9963 one pair 384 0.62% 1 : 161 95.61%
58 K9 K9963 one pair 384 0.62% 1 : 161 94.99%
59 Q9 Q9963 one pair 384 0.62% 1 : 161 94.37%
60 J9 J9963 one pair 384 0.62% 1 : 161 93.75%
61 T9 T9963 one pair 384 0.62% 1 : 161 93.14%
62 98 99863 one pair 384 0.62% 1 : 161 92.52%
63 97 99763 one pair 384 0.62% 1 : 161 91.90%
64 95 99653 one pair 384 0.62% 1 : 161 91.28%
65 94 99643 one pair 384 0.62% 1 : 161 90.66%
66 92 99632 one pair 384 0.62% 1 : 161 90.04%
67 88 98863 one pair 384 0.62% 1 : 161 89.42%
68 77 97763 one pair 384 0.62% 1 : 161 88.81%
69 A6 A9663 one pair 384 0.62% 1 : 161 88.19%
70 K6 K9663 one pair 384 0.62% 1 : 161 87.57%
71 Q6 Q9663 one pair 384 0.62% 1 : 161 86.95%
72 J6 J9663 one pair 384 0.62% 1 : 161 86.33%
73 T6 T9663 one pair 384 0.62% 1 : 161 85.71%
74 86 98663 one pair 384 0.62% 1 : 161 85.09%
75 76 97663 one pair 384 0.62% 1 : 161 84.47%
76 65 96653 one pair 384 0.62% 1 : 161 83.86%
77 64 96643 one pair 384 0.62% 1 : 161 83.24%
78 62 96632 one pair 384 0.62% 1 : 161 82.62%
79 55 96553 one pair 384 0.62% 1 : 161 82.00%
80 44 96443 one pair 384 0.62% 1 : 161 81.38%
81 A3 A9633 one pair 384 0.62% 1 : 161 80.76%
82 K3 K9633 one pair 384 0.62% 1 : 161 80.14%
83 Q3 Q9633 one pair 384 0.62% 1 : 161 79.52%
84 J3 J9633 one pair 384 0.62% 1 : 161 78.91%
85 T3 T9633 one pair 384 0.62% 1 : 161 78.29%
86 83 98633 one pair 384 0.62% 1 : 161 77.67%
87 73 97633 one pair 384 0.62% 1 : 161 77.05%
88 53 96533 one pair 384 0.62% 1 : 161 76.43%
89 43 96433 one pair 384 0.62% 1 : 161 75.81%
90 32 96332 one pair 384 0.62% 1 : 161 75.19%
91 22 96322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK963 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ963 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ963 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT963 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 A9863 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 A9763 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 A9653 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 A9643 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 A9632 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ963 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ963 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT963 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 K9863 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 K9763 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 K9653 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 K9643 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 K9632 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ963 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT963 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 Q9863 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 Q9763 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 Q9653 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 Q9643 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 Q9632 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT963 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 J9863 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 J9763 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 J9653 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 J9643 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 J9632 high card 1,020 1.64% 1 : 59.8 26.30%
122 T8 T9863 high card 1,020 1.64% 1 : 59.8 24.65%
123 T7 T9763 high card 1,020 1.64% 1 : 59.8 23.01%
124 T5 T9653 high card 1,020 1.64% 1 : 59.8 21.37%
125 T4 T9643 high card 1,020 1.64% 1 : 59.8 19.72%
126 T2 T9632 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 98763 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 98653 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 98643 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 98632 high card 1,020 1.64% 1 : 59.8 11.50%
131 75 97653 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 97643 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 97632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 96543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 96532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 96432 high card 1,020 1.64% 1 : 59.8 1.64%