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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 AKQ62 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ62 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT62 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQ962 flush 4 0.01% 1 : 15515 99.98%
5 A8s AQ862 flush 4 0.01% 1 : 15515 99.97%
6 A7s AQ762 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQ652 flush 4 0.01% 1 : 15515 99.96%
8 A4s AQ642 flush 4 0.01% 1 : 15515 99.95%
9 A3s AQ632 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ62 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT62 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQ962 flush 4 0.01% 1 : 15515 99.93%
13 K8s KQ862 flush 4 0.01% 1 : 15515 99.92%
14 K7s KQ762 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQ652 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQ642 flush 4 0.01% 1 : 15515 99.90%
17 K3s KQ632 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT62 flush 4 0.01% 1 : 15515 99.89%
19 J9s QJ962 flush 4 0.01% 1 : 15515 99.88%
20 J8s QJ862 flush 4 0.01% 1 : 15515 99.88%
21 J7s QJ762 flush 4 0.01% 1 : 15515 99.87%
22 J5s QJ652 flush 4 0.01% 1 : 15515 99.86%
23 J4s QJ642 flush 4 0.01% 1 : 15515 99.86%
24 J3s QJ632 flush 4 0.01% 1 : 15515 99.85%
25 T9s QT962 flush 4 0.01% 1 : 15515 99.85%
26 T8s QT862 flush 4 0.01% 1 : 15515 99.84%
27 T7s QT762 flush 4 0.01% 1 : 15515 99.83%
28 T5s QT652 flush 4 0.01% 1 : 15515 99.83%
29 T4s QT642 flush 4 0.01% 1 : 15515 99.82%
30 T3s QT632 flush 4 0.01% 1 : 15515 99.81%
31 98s Q9862 flush 4 0.01% 1 : 15515 99.81%
32 97s Q9762 flush 4 0.01% 1 : 15515 99.80%
33 95s Q9652 flush 4 0.01% 1 : 15515 99.79%
34 94s Q9642 flush 4 0.01% 1 : 15515 99.79%
35 93s Q9632 flush 4 0.01% 1 : 15515 99.78%
36 87s Q8762 flush 4 0.01% 1 : 15515 99.77%
37 85s Q8652 flush 4 0.01% 1 : 15515 99.77%
38 84s Q8642 flush 4 0.01% 1 : 15515 99.76%
39 83s Q8632 flush 4 0.01% 1 : 15515 99.76%
40 75s Q7652 flush 4 0.01% 1 : 15515 99.75%
41 74s Q7642 flush 4 0.01% 1 : 15515 99.74%
42 73s Q7632 flush 4 0.01% 1 : 15515 99.74%
43 54s Q6542 flush 4 0.01% 1 : 15515 99.73%
44 53s Q6532 flush 4 0.01% 1 : 15515 99.72%
45 43s Q6432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ62 three of a kind 64 0.10% 1 : 969 99.71%
47 66 Q6662 three of a kind 64 0.10% 1 : 969 99.61%
48 22 Q6222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q6 QQ662 two pairs 144 0.23% 1 : 430 99.40%
50 Q2 QQ622 two pairs 144 0.23% 1 : 430 99.17%
51 62 Q6622 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ62 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ62 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ62 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ62 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ62 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT62 one pair 384 0.62% 1 : 161 95.61%
58 Q9 QQ962 one pair 384 0.62% 1 : 161 94.99%
59 Q8 QQ862 one pair 384 0.62% 1 : 161 94.37%
60 Q7 QQ762 one pair 384 0.62% 1 : 161 93.75%
61 Q5 QQ652 one pair 384 0.62% 1 : 161 93.14%
62 Q4 QQ642 one pair 384 0.62% 1 : 161 92.52%
63 Q3 QQ632 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ62 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT62 one pair 384 0.62% 1 : 161 90.66%
66 99 Q9962 one pair 384 0.62% 1 : 161 90.04%
67 88 Q8862 one pair 384 0.62% 1 : 161 89.42%
68 77 Q7762 one pair 384 0.62% 1 : 161 88.81%
69 A6 AQ662 one pair 384 0.62% 1 : 161 88.19%
70 K6 KQ662 one pair 384 0.62% 1 : 161 87.57%
71 J6 QJ662 one pair 384 0.62% 1 : 161 86.95%
72 T6 QT662 one pair 384 0.62% 1 : 161 86.33%
73 96 Q9662 one pair 384 0.62% 1 : 161 85.71%
74 86 Q8662 one pair 384 0.62% 1 : 161 85.09%
75 76 Q7662 one pair 384 0.62% 1 : 161 84.47%
76 65 Q6652 one pair 384 0.62% 1 : 161 83.86%
77 64 Q6642 one pair 384 0.62% 1 : 161 83.24%
78 63 Q6632 one pair 384 0.62% 1 : 161 82.62%
79 55 Q6552 one pair 384 0.62% 1 : 161 82.00%
80 44 Q6442 one pair 384 0.62% 1 : 161 81.38%
81 33 Q6332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AQ622 one pair 384 0.62% 1 : 161 80.14%
83 K2 KQ622 one pair 384 0.62% 1 : 161 79.52%
84 J2 QJ622 one pair 384 0.62% 1 : 161 78.91%
85 T2 QT622 one pair 384 0.62% 1 : 161 78.29%
86 92 Q9622 one pair 384 0.62% 1 : 161 77.67%
87 82 Q8622 one pair 384 0.62% 1 : 161 77.05%
88 72 Q7622 one pair 384 0.62% 1 : 161 76.43%
89 52 Q6522 one pair 384 0.62% 1 : 161 75.81%
90 42 Q6422 one pair 384 0.62% 1 : 161 75.19%
91 32 Q6322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ62 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ62 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT62 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQ962 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AQ862 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AQ762 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQ652 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AQ642 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AQ632 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ62 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT62 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQ962 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KQ862 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KQ762 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQ652 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQ642 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KQ632 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT62 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 QJ962 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 QJ862 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 QJ762 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 QJ652 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 QJ642 high card 1,020 1.64% 1 : 59.8 37.80%
115 J3 QJ632 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 QT962 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 QT862 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 QT762 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 QT652 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 QT642 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 QT632 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 Q9862 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 Q9762 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 Q9652 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 Q9642 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 Q9632 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 Q8762 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 Q8652 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 Q8642 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 Q8632 high card 1,020 1.64% 1 : 59.8 11.50%
131 75 Q7652 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 Q7642 high card 1,020 1.64% 1 : 59.8 8.22%
133 73 Q7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 Q6542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 Q6532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 Q6432 high card 1,020 1.64% 1 : 59.8 1.64%