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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 AKT63 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT63 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT63 flush 4 0.01% 1 : 15515 99.99%
4 A9s AT963 flush 4 0.01% 1 : 15515 99.98%
5 A8s AT863 flush 4 0.01% 1 : 15515 99.97%
6 A7s AT763 flush 4 0.01% 1 : 15515 99.97%
7 A5s AT653 flush 4 0.01% 1 : 15515 99.96%
8 A4s AT643 flush 4 0.01% 1 : 15515 99.95%
9 A2s AT632 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT63 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT63 flush 4 0.01% 1 : 15515 99.94%
12 K9s KT963 flush 4 0.01% 1 : 15515 99.93%
13 K8s KT863 flush 4 0.01% 1 : 15515 99.92%
14 K7s KT763 flush 4 0.01% 1 : 15515 99.92%
15 K5s KT653 flush 4 0.01% 1 : 15515 99.91%
16 K4s KT643 flush 4 0.01% 1 : 15515 99.90%
17 K2s KT632 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT63 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QT963 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QT863 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QT763 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QT653 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QT643 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QT632 flush 4 0.01% 1 : 15515 99.85%
25 J9s JT963 flush 4 0.01% 1 : 15515 99.85%
26 J8s JT863 flush 4 0.01% 1 : 15515 99.84%
27 J7s JT763 flush 4 0.01% 1 : 15515 99.83%
28 J5s JT653 flush 4 0.01% 1 : 15515 99.83%
29 J4s JT643 flush 4 0.01% 1 : 15515 99.82%
30 J2s JT632 flush 4 0.01% 1 : 15515 99.81%
31 98s T9863 flush 4 0.01% 1 : 15515 99.81%
32 97s T9763 flush 4 0.01% 1 : 15515 99.80%
33 95s T9653 flush 4 0.01% 1 : 15515 99.79%
34 94s T9643 flush 4 0.01% 1 : 15515 99.79%
35 92s T9632 flush 4 0.01% 1 : 15515 99.78%
36 87s T8763 flush 4 0.01% 1 : 15515 99.77%
37 85s T8653 flush 4 0.01% 1 : 15515 99.77%
38 84s T8643 flush 4 0.01% 1 : 15515 99.76%
39 82s T8632 flush 4 0.01% 1 : 15515 99.76%
40 75s T7653 flush 4 0.01% 1 : 15515 99.75%
41 74s T7643 flush 4 0.01% 1 : 15515 99.74%
42 72s T7632 flush 4 0.01% 1 : 15515 99.74%
43 54s T6543 flush 4 0.01% 1 : 15515 99.73%
44 52s T6532 flush 4 0.01% 1 : 15515 99.72%
45 42s T6432 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT63 three of a kind 64 0.10% 1 : 969 99.71%
47 66 T6663 three of a kind 64 0.10% 1 : 969 99.61%
48 33 T6333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T6 TT663 two pairs 144 0.23% 1 : 430 99.40%
50 T3 TT633 two pairs 144 0.23% 1 : 430 99.17%
51 63 T6633 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT63 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT63 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT63 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT63 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT63 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT63 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT63 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT63 one pair 384 0.62% 1 : 161 94.37%
60 T9 TT963 one pair 384 0.62% 1 : 161 93.75%
61 T8 TT863 one pair 384 0.62% 1 : 161 93.14%
62 T7 TT763 one pair 384 0.62% 1 : 161 92.52%
63 T5 TT653 one pair 384 0.62% 1 : 161 91.90%
64 T4 TT643 one pair 384 0.62% 1 : 161 91.28%
65 T2 TT632 one pair 384 0.62% 1 : 161 90.66%
66 99 T9963 one pair 384 0.62% 1 : 161 90.04%
67 88 T8863 one pair 384 0.62% 1 : 161 89.42%
68 77 T7763 one pair 384 0.62% 1 : 161 88.81%
69 A6 AT663 one pair 384 0.62% 1 : 161 88.19%
70 K6 KT663 one pair 384 0.62% 1 : 161 87.57%
71 Q6 QT663 one pair 384 0.62% 1 : 161 86.95%
72 J6 JT663 one pair 384 0.62% 1 : 161 86.33%
73 96 T9663 one pair 384 0.62% 1 : 161 85.71%
74 86 T8663 one pair 384 0.62% 1 : 161 85.09%
75 76 T7663 one pair 384 0.62% 1 : 161 84.47%
76 65 T6653 one pair 384 0.62% 1 : 161 83.86%
77 64 T6643 one pair 384 0.62% 1 : 161 83.24%
78 62 T6632 one pair 384 0.62% 1 : 161 82.62%
79 55 T6553 one pair 384 0.62% 1 : 161 82.00%
80 44 T6443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AT633 one pair 384 0.62% 1 : 161 80.76%
82 K3 KT633 one pair 384 0.62% 1 : 161 80.14%
83 Q3 QT633 one pair 384 0.62% 1 : 161 79.52%
84 J3 JT633 one pair 384 0.62% 1 : 161 78.91%
85 93 T9633 one pair 384 0.62% 1 : 161 78.29%
86 83 T8633 one pair 384 0.62% 1 : 161 77.67%
87 73 T7633 one pair 384 0.62% 1 : 161 77.05%
88 53 T6533 one pair 384 0.62% 1 : 161 76.43%
89 43 T6433 one pair 384 0.62% 1 : 161 75.81%
90 32 T6332 one pair 384 0.62% 1 : 161 75.19%
91 22 T6322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT63 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT63 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT63 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AT963 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AT863 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AT763 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AT653 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AT643 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AT632 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT63 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT63 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KT963 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KT863 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KT763 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KT653 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KT643 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KT632 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT63 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QT963 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QT863 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QT763 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QT653 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QT643 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QT632 high card 1,020 1.64% 1 : 59.8 36.16%
116 J9 JT963 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 JT863 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 JT763 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 JT653 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 JT643 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 JT632 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 T9863 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 T9763 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 T9653 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 T9643 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 T9632 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 T8763 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 T8653 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 T8643 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 T8632 high card 1,020 1.64% 1 : 59.8 11.50%
131 75 T7653 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 T7643 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 T7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 T6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 T6532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 T6432 high card 1,020 1.64% 1 : 59.8 1.64%