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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 AKJ63 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ63 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT63 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ963 flush 4 0.01% 1 : 15515 99.98%
5 A8s AJ863 flush 4 0.01% 1 : 15515 99.97%
6 A7s AJ763 flush 4 0.01% 1 : 15515 99.97%
7 A5s AJ653 flush 4 0.01% 1 : 15515 99.96%
8 A4s AJ643 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJ632 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ63 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT63 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ963 flush 4 0.01% 1 : 15515 99.93%
13 K8s KJ863 flush 4 0.01% 1 : 15515 99.92%
14 K7s KJ763 flush 4 0.01% 1 : 15515 99.92%
15 K5s KJ653 flush 4 0.01% 1 : 15515 99.91%
16 K4s KJ643 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJ632 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT63 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ963 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QJ863 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QJ763 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJ653 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QJ643 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJ632 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT963 flush 4 0.01% 1 : 15515 99.85%
26 T8s JT863 flush 4 0.01% 1 : 15515 99.84%
27 T7s JT763 flush 4 0.01% 1 : 15515 99.83%
28 T5s JT653 flush 4 0.01% 1 : 15515 99.83%
29 T4s JT643 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT632 flush 4 0.01% 1 : 15515 99.81%
31 98s J9863 flush 4 0.01% 1 : 15515 99.81%
32 97s J9763 flush 4 0.01% 1 : 15515 99.80%
33 95s J9653 flush 4 0.01% 1 : 15515 99.79%
34 94s J9643 flush 4 0.01% 1 : 15515 99.79%
35 92s J9632 flush 4 0.01% 1 : 15515 99.78%
36 87s J8763 flush 4 0.01% 1 : 15515 99.77%
37 85s J8653 flush 4 0.01% 1 : 15515 99.77%
38 84s J8643 flush 4 0.01% 1 : 15515 99.76%
39 82s J8632 flush 4 0.01% 1 : 15515 99.76%
40 75s J7653 flush 4 0.01% 1 : 15515 99.75%
41 74s J7643 flush 4 0.01% 1 : 15515 99.74%
42 72s J7632 flush 4 0.01% 1 : 15515 99.74%
43 54s J6543 flush 4 0.01% 1 : 15515 99.73%
44 52s J6532 flush 4 0.01% 1 : 15515 99.72%
45 42s J6432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ63 three of a kind 64 0.10% 1 : 969 99.71%
47 66 J6663 three of a kind 64 0.10% 1 : 969 99.61%
48 33 J6333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J6 JJ663 two pairs 144 0.23% 1 : 430 99.40%
50 J3 JJ633 two pairs 144 0.23% 1 : 430 99.17%
51 63 J6633 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ63 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ63 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ63 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ63 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ63 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ63 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT63 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ963 one pair 384 0.62% 1 : 161 94.37%
60 J8 JJ863 one pair 384 0.62% 1 : 161 93.75%
61 J7 JJ763 one pair 384 0.62% 1 : 161 93.14%
62 J5 JJ653 one pair 384 0.62% 1 : 161 92.52%
63 J4 JJ643 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJ632 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT63 one pair 384 0.62% 1 : 161 90.66%
66 99 J9963 one pair 384 0.62% 1 : 161 90.04%
67 88 J8863 one pair 384 0.62% 1 : 161 89.42%
68 77 J7763 one pair 384 0.62% 1 : 161 88.81%
69 A6 AJ663 one pair 384 0.62% 1 : 161 88.19%
70 K6 KJ663 one pair 384 0.62% 1 : 161 87.57%
71 Q6 QJ663 one pair 384 0.62% 1 : 161 86.95%
72 T6 JT663 one pair 384 0.62% 1 : 161 86.33%
73 96 J9663 one pair 384 0.62% 1 : 161 85.71%
74 86 J8663 one pair 384 0.62% 1 : 161 85.09%
75 76 J7663 one pair 384 0.62% 1 : 161 84.47%
76 65 J6653 one pair 384 0.62% 1 : 161 83.86%
77 64 J6643 one pair 384 0.62% 1 : 161 83.24%
78 62 J6632 one pair 384 0.62% 1 : 161 82.62%
79 55 J6553 one pair 384 0.62% 1 : 161 82.00%
80 44 J6443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AJ633 one pair 384 0.62% 1 : 161 80.76%
82 K3 KJ633 one pair 384 0.62% 1 : 161 80.14%
83 Q3 QJ633 one pair 384 0.62% 1 : 161 79.52%
84 T3 JT633 one pair 384 0.62% 1 : 161 78.91%
85 93 J9633 one pair 384 0.62% 1 : 161 78.29%
86 83 J8633 one pair 384 0.62% 1 : 161 77.67%
87 73 J7633 one pair 384 0.62% 1 : 161 77.05%
88 53 J6533 one pair 384 0.62% 1 : 161 76.43%
89 43 J6433 one pair 384 0.62% 1 : 161 75.81%
90 32 J6332 one pair 384 0.62% 1 : 161 75.19%
91 22 J6322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ63 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ63 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT63 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ963 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AJ863 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AJ763 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AJ653 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AJ643 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJ632 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ63 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT63 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ963 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KJ863 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KJ763 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KJ653 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KJ643 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJ632 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT63 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ963 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QJ863 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QJ763 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJ653 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QJ643 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJ632 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT963 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 JT863 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 JT763 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 JT653 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 JT643 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT632 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 J9863 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 J9763 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 J9653 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 J9643 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 J9632 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 J8763 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 J8653 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 J8643 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 J8632 high card 1,020 1.64% 1 : 59.8 11.50%
131 75 J7653 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 J7643 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 J7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 J6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 J6532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 J6432 high card 1,020 1.64% 1 : 59.8 1.64%