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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 AKT52 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT52 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT52 flush 4 0.01% 1 : 15515 99.99%
4 A9s AT952 flush 4 0.01% 1 : 15515 99.98%
5 A8s AT852 flush 4 0.01% 1 : 15515 99.97%
6 A7s AT752 flush 4 0.01% 1 : 15515 99.97%
7 A6s AT652 flush 4 0.01% 1 : 15515 99.96%
8 A4s AT542 flush 4 0.01% 1 : 15515 99.95%
9 A3s AT532 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT52 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT52 flush 4 0.01% 1 : 15515 99.94%
12 K9s KT952 flush 4 0.01% 1 : 15515 99.93%
13 K8s KT852 flush 4 0.01% 1 : 15515 99.92%
14 K7s KT752 flush 4 0.01% 1 : 15515 99.92%
15 K6s KT652 flush 4 0.01% 1 : 15515 99.91%
16 K4s KT542 flush 4 0.01% 1 : 15515 99.90%
17 K3s KT532 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT52 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QT952 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QT852 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QT752 flush 4 0.01% 1 : 15515 99.87%
22 Q6s QT652 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QT542 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QT532 flush 4 0.01% 1 : 15515 99.85%
25 J9s JT952 flush 4 0.01% 1 : 15515 99.85%
26 J8s JT852 flush 4 0.01% 1 : 15515 99.84%
27 J7s JT752 flush 4 0.01% 1 : 15515 99.83%
28 J6s JT652 flush 4 0.01% 1 : 15515 99.83%
29 J4s JT542 flush 4 0.01% 1 : 15515 99.82%
30 J3s JT532 flush 4 0.01% 1 : 15515 99.81%
31 98s T9852 flush 4 0.01% 1 : 15515 99.81%
32 97s T9752 flush 4 0.01% 1 : 15515 99.80%
33 96s T9652 flush 4 0.01% 1 : 15515 99.79%
34 94s T9542 flush 4 0.01% 1 : 15515 99.79%
35 93s T9532 flush 4 0.01% 1 : 15515 99.78%
36 87s T8752 flush 4 0.01% 1 : 15515 99.77%
37 86s T8652 flush 4 0.01% 1 : 15515 99.77%
38 84s T8542 flush 4 0.01% 1 : 15515 99.76%
39 83s T8532 flush 4 0.01% 1 : 15515 99.76%
40 76s T7652 flush 4 0.01% 1 : 15515 99.75%
41 74s T7542 flush 4 0.01% 1 : 15515 99.74%
42 73s T7532 flush 4 0.01% 1 : 15515 99.74%
43 64s T6542 flush 4 0.01% 1 : 15515 99.73%
44 63s T6532 flush 4 0.01% 1 : 15515 99.72%
45 43s T5432 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT52 three of a kind 64 0.10% 1 : 969 99.71%
47 55 T5552 three of a kind 64 0.10% 1 : 969 99.61%
48 22 T5222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T5 TT552 two pairs 144 0.23% 1 : 430 99.40%
50 T2 TT522 two pairs 144 0.23% 1 : 430 99.17%
51 52 T5522 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT52 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT52 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT52 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT52 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT52 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT52 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT52 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT52 one pair 384 0.62% 1 : 161 94.37%
60 T9 TT952 one pair 384 0.62% 1 : 161 93.75%
61 T8 TT852 one pair 384 0.62% 1 : 161 93.14%
62 T7 TT752 one pair 384 0.62% 1 : 161 92.52%
63 T6 TT652 one pair 384 0.62% 1 : 161 91.90%
64 T4 TT542 one pair 384 0.62% 1 : 161 91.28%
65 T3 TT532 one pair 384 0.62% 1 : 161 90.66%
66 99 T9952 one pair 384 0.62% 1 : 161 90.04%
67 88 T8852 one pair 384 0.62% 1 : 161 89.42%
68 77 T7752 one pair 384 0.62% 1 : 161 88.81%
69 66 T6652 one pair 384 0.62% 1 : 161 88.19%
70 A5 AT552 one pair 384 0.62% 1 : 161 87.57%
71 K5 KT552 one pair 384 0.62% 1 : 161 86.95%
72 Q5 QT552 one pair 384 0.62% 1 : 161 86.33%
73 J5 JT552 one pair 384 0.62% 1 : 161 85.71%
74 95 T9552 one pair 384 0.62% 1 : 161 85.09%
75 85 T8552 one pair 384 0.62% 1 : 161 84.47%
76 75 T7552 one pair 384 0.62% 1 : 161 83.86%
77 65 T6552 one pair 384 0.62% 1 : 161 83.24%
78 54 T5542 one pair 384 0.62% 1 : 161 82.62%
79 53 T5532 one pair 384 0.62% 1 : 161 82.00%
80 44 T5442 one pair 384 0.62% 1 : 161 81.38%
81 33 T5332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AT522 one pair 384 0.62% 1 : 161 80.14%
83 K2 KT522 one pair 384 0.62% 1 : 161 79.52%
84 Q2 QT522 one pair 384 0.62% 1 : 161 78.91%
85 J2 JT522 one pair 384 0.62% 1 : 161 78.29%
86 92 T9522 one pair 384 0.62% 1 : 161 77.67%
87 82 T8522 one pair 384 0.62% 1 : 161 77.05%
88 72 T7522 one pair 384 0.62% 1 : 161 76.43%
89 62 T6522 one pair 384 0.62% 1 : 161 75.81%
90 42 T5422 one pair 384 0.62% 1 : 161 75.19%
91 32 T5322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT52 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT52 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT52 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AT952 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AT852 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AT752 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AT652 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AT542 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AT532 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT52 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT52 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KT952 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KT852 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KT752 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KT652 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KT542 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KT532 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT52 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QT952 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QT852 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QT752 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 QT652 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QT542 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QT532 high card 1,020 1.64% 1 : 59.8 36.16%
116 J9 JT952 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 JT852 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 JT752 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 JT652 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 JT542 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 JT532 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 T9852 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 T9752 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 T9652 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 T9542 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 T9532 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 T8752 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 T8652 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 T8542 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 T8532 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 T7652 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 T7542 high card 1,020 1.64% 1 : 59.8 8.22%
133 73 T7532 high card 1,020 1.64% 1 : 59.8 6.57%
134 64 T6542 high card 1,020 1.64% 1 : 59.8 4.93%
135 63 T6532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 T5432 high card 1,020 1.64% 1 : 59.8 1.64%