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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 AKT62 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT62 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT62 flush 4 0.01% 1 : 15515 99.99%
4 A9s AT962 flush 4 0.01% 1 : 15515 99.98%
5 A8s AT862 flush 4 0.01% 1 : 15515 99.97%
6 A7s AT762 flush 4 0.01% 1 : 15515 99.97%
7 A5s AT652 flush 4 0.01% 1 : 15515 99.96%
8 A4s AT642 flush 4 0.01% 1 : 15515 99.95%
9 A3s AT632 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT62 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT62 flush 4 0.01% 1 : 15515 99.94%
12 K9s KT962 flush 4 0.01% 1 : 15515 99.93%
13 K8s KT862 flush 4 0.01% 1 : 15515 99.92%
14 K7s KT762 flush 4 0.01% 1 : 15515 99.92%
15 K5s KT652 flush 4 0.01% 1 : 15515 99.91%
16 K4s KT642 flush 4 0.01% 1 : 15515 99.90%
17 K3s KT632 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT62 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QT962 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QT862 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QT762 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QT652 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QT642 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QT632 flush 4 0.01% 1 : 15515 99.85%
25 J9s JT962 flush 4 0.01% 1 : 15515 99.85%
26 J8s JT862 flush 4 0.01% 1 : 15515 99.84%
27 J7s JT762 flush 4 0.01% 1 : 15515 99.83%
28 J5s JT652 flush 4 0.01% 1 : 15515 99.83%
29 J4s JT642 flush 4 0.01% 1 : 15515 99.82%
30 J3s JT632 flush 4 0.01% 1 : 15515 99.81%
31 98s T9862 flush 4 0.01% 1 : 15515 99.81%
32 97s T9762 flush 4 0.01% 1 : 15515 99.80%
33 95s T9652 flush 4 0.01% 1 : 15515 99.79%
34 94s T9642 flush 4 0.01% 1 : 15515 99.79%
35 93s T9632 flush 4 0.01% 1 : 15515 99.78%
36 87s T8762 flush 4 0.01% 1 : 15515 99.77%
37 85s T8652 flush 4 0.01% 1 : 15515 99.77%
38 84s T8642 flush 4 0.01% 1 : 15515 99.76%
39 83s T8632 flush 4 0.01% 1 : 15515 99.76%
40 75s T7652 flush 4 0.01% 1 : 15515 99.75%
41 74s T7642 flush 4 0.01% 1 : 15515 99.74%
42 73s T7632 flush 4 0.01% 1 : 15515 99.74%
43 54s T6542 flush 4 0.01% 1 : 15515 99.73%
44 53s T6532 flush 4 0.01% 1 : 15515 99.72%
45 43s T6432 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT62 three of a kind 64 0.10% 1 : 969 99.71%
47 66 T6662 three of a kind 64 0.10% 1 : 969 99.61%
48 22 T6222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T6 TT662 two pairs 144 0.23% 1 : 430 99.40%
50 T2 TT622 two pairs 144 0.23% 1 : 430 99.17%
51 62 T6622 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT62 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT62 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT62 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT62 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT62 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT62 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT62 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT62 one pair 384 0.62% 1 : 161 94.37%
60 T9 TT962 one pair 384 0.62% 1 : 161 93.75%
61 T8 TT862 one pair 384 0.62% 1 : 161 93.14%
62 T7 TT762 one pair 384 0.62% 1 : 161 92.52%
63 T5 TT652 one pair 384 0.62% 1 : 161 91.90%
64 T4 TT642 one pair 384 0.62% 1 : 161 91.28%
65 T3 TT632 one pair 384 0.62% 1 : 161 90.66%
66 99 T9962 one pair 384 0.62% 1 : 161 90.04%
67 88 T8862 one pair 384 0.62% 1 : 161 89.42%
68 77 T7762 one pair 384 0.62% 1 : 161 88.81%
69 A6 AT662 one pair 384 0.62% 1 : 161 88.19%
70 K6 KT662 one pair 384 0.62% 1 : 161 87.57%
71 Q6 QT662 one pair 384 0.62% 1 : 161 86.95%
72 J6 JT662 one pair 384 0.62% 1 : 161 86.33%
73 96 T9662 one pair 384 0.62% 1 : 161 85.71%
74 86 T8662 one pair 384 0.62% 1 : 161 85.09%
75 76 T7662 one pair 384 0.62% 1 : 161 84.47%
76 65 T6652 one pair 384 0.62% 1 : 161 83.86%
77 64 T6642 one pair 384 0.62% 1 : 161 83.24%
78 63 T6632 one pair 384 0.62% 1 : 161 82.62%
79 55 T6552 one pair 384 0.62% 1 : 161 82.00%
80 44 T6442 one pair 384 0.62% 1 : 161 81.38%
81 33 T6332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AT622 one pair 384 0.62% 1 : 161 80.14%
83 K2 KT622 one pair 384 0.62% 1 : 161 79.52%
84 Q2 QT622 one pair 384 0.62% 1 : 161 78.91%
85 J2 JT622 one pair 384 0.62% 1 : 161 78.29%
86 92 T9622 one pair 384 0.62% 1 : 161 77.67%
87 82 T8622 one pair 384 0.62% 1 : 161 77.05%
88 72 T7622 one pair 384 0.62% 1 : 161 76.43%
89 52 T6522 one pair 384 0.62% 1 : 161 75.81%
90 42 T6422 one pair 384 0.62% 1 : 161 75.19%
91 32 T6322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT62 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT62 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT62 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AT962 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AT862 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AT762 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AT652 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AT642 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AT632 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT62 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT62 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KT962 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KT862 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KT762 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KT652 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KT642 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KT632 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT62 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QT962 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QT862 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QT762 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QT652 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QT642 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QT632 high card 1,020 1.64% 1 : 59.8 36.16%
116 J9 JT962 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 JT862 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 JT762 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 JT652 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 JT642 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 JT632 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 T9862 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 T9762 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 T9652 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 T9642 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 T9632 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 T8762 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 T8652 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 T8642 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 T8632 high card 1,020 1.64% 1 : 59.8 11.50%
131 75 T7652 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 T7642 high card 1,020 1.64% 1 : 59.8 8.22%
133 73 T7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 T6542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 T6532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 T6432 high card 1,020 1.64% 1 : 59.8 1.64%