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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 KQs AKQ62 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ62 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT62 flush 4 0.01% 1 : 15515 99.99%
4 K9s AK962 flush 4 0.01% 1 : 15515 99.98%
5 K8s AK862 flush 4 0.01% 1 : 15515 99.97%
6 K7s AK762 flush 4 0.01% 1 : 15515 99.97%
7 K5s AK652 flush 4 0.01% 1 : 15515 99.96%
8 K4s AK642 flush 4 0.01% 1 : 15515 99.95%
9 K3s AK632 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ62 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT62 flush 4 0.01% 1 : 15515 99.94%
12 Q9s AQ962 flush 4 0.01% 1 : 15515 99.93%
13 Q8s AQ862 flush 4 0.01% 1 : 15515 99.92%
14 Q7s AQ762 flush 4 0.01% 1 : 15515 99.92%
15 Q5s AQ652 flush 4 0.01% 1 : 15515 99.91%
16 Q4s AQ642 flush 4 0.01% 1 : 15515 99.90%
17 Q3s AQ632 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT62 flush 4 0.01% 1 : 15515 99.89%
19 J9s AJ962 flush 4 0.01% 1 : 15515 99.88%
20 J8s AJ862 flush 4 0.01% 1 : 15515 99.88%
21 J7s AJ762 flush 4 0.01% 1 : 15515 99.87%
22 J5s AJ652 flush 4 0.01% 1 : 15515 99.86%
23 J4s AJ642 flush 4 0.01% 1 : 15515 99.86%
24 J3s AJ632 flush 4 0.01% 1 : 15515 99.85%
25 T9s AT962 flush 4 0.01% 1 : 15515 99.85%
26 T8s AT862 flush 4 0.01% 1 : 15515 99.84%
27 T7s AT762 flush 4 0.01% 1 : 15515 99.83%
28 T5s AT652 flush 4 0.01% 1 : 15515 99.83%
29 T4s AT642 flush 4 0.01% 1 : 15515 99.82%
30 T3s AT632 flush 4 0.01% 1 : 15515 99.81%
31 98s A9862 flush 4 0.01% 1 : 15515 99.81%
32 97s A9762 flush 4 0.01% 1 : 15515 99.80%
33 95s A9652 flush 4 0.01% 1 : 15515 99.79%
34 94s A9642 flush 4 0.01% 1 : 15515 99.79%
35 93s A9632 flush 4 0.01% 1 : 15515 99.78%
36 87s A8762 flush 4 0.01% 1 : 15515 99.77%
37 85s A8652 flush 4 0.01% 1 : 15515 99.77%
38 84s A8642 flush 4 0.01% 1 : 15515 99.76%
39 83s A8632 flush 4 0.01% 1 : 15515 99.76%
40 75s A7652 flush 4 0.01% 1 : 15515 99.75%
41 74s A7642 flush 4 0.01% 1 : 15515 99.74%
42 73s A7632 flush 4 0.01% 1 : 15515 99.74%
43 54s A6542 flush 4 0.01% 1 : 15515 99.73%
44 53s A6532 flush 4 0.01% 1 : 15515 99.72%
45 43s A6432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA62 three of a kind 64 0.10% 1 : 969 99.71%
47 66 A6662 three of a kind 64 0.10% 1 : 969 99.61%
48 22 A6222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A6 AA662 two pairs 144 0.23% 1 : 430 99.40%
50 A2 AA622 two pairs 144 0.23% 1 : 430 99.17%
51 62 A6622 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK62 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ62 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ62 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT62 one pair 384 0.62% 1 : 161 96.85%
56 A9 AA962 one pair 384 0.62% 1 : 161 96.23%
57 A8 AA862 one pair 384 0.62% 1 : 161 95.61%
58 A7 AA762 one pair 384 0.62% 1 : 161 94.99%
59 A5 AA652 one pair 384 0.62% 1 : 161 94.37%
60 A4 AA642 one pair 384 0.62% 1 : 161 93.75%
61 A3 AA632 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK62 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ62 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ62 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT62 one pair 384 0.62% 1 : 161 90.66%
66 99 A9962 one pair 384 0.62% 1 : 161 90.04%
67 88 A8862 one pair 384 0.62% 1 : 161 89.42%
68 77 A7762 one pair 384 0.62% 1 : 161 88.81%
69 K6 AK662 one pair 384 0.62% 1 : 161 88.19%
70 Q6 AQ662 one pair 384 0.62% 1 : 161 87.57%
71 J6 AJ662 one pair 384 0.62% 1 : 161 86.95%
72 T6 AT662 one pair 384 0.62% 1 : 161 86.33%
73 96 A9662 one pair 384 0.62% 1 : 161 85.71%
74 86 A8662 one pair 384 0.62% 1 : 161 85.09%
75 76 A7662 one pair 384 0.62% 1 : 161 84.47%
76 65 A6652 one pair 384 0.62% 1 : 161 83.86%
77 64 A6642 one pair 384 0.62% 1 : 161 83.24%
78 63 A6632 one pair 384 0.62% 1 : 161 82.62%
79 55 A6552 one pair 384 0.62% 1 : 161 82.00%
80 44 A6442 one pair 384 0.62% 1 : 161 81.38%
81 33 A6332 one pair 384 0.62% 1 : 161 80.76%
82 K2 AK622 one pair 384 0.62% 1 : 161 80.14%
83 Q2 AQ622 one pair 384 0.62% 1 : 161 79.52%
84 J2 AJ622 one pair 384 0.62% 1 : 161 78.91%
85 T2 AT622 one pair 384 0.62% 1 : 161 78.29%
86 92 A9622 one pair 384 0.62% 1 : 161 77.67%
87 82 A8622 one pair 384 0.62% 1 : 161 77.05%
88 72 A7622 one pair 384 0.62% 1 : 161 76.43%
89 52 A6522 one pair 384 0.62% 1 : 161 75.81%
90 42 A6422 one pair 384 0.62% 1 : 161 75.19%
91 32 A6322 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ62 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ62 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT62 high card 1,020 1.64% 1 : 59.8 70.67%
95 K9 AK962 high card 1,020 1.64% 1 : 59.8 69.03%
96 K8 AK862 high card 1,020 1.64% 1 : 59.8 67.38%
97 K7 AK762 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AK652 high card 1,020 1.64% 1 : 59.8 64.10%
99 K4 AK642 high card 1,020 1.64% 1 : 59.8 62.45%
100 K3 AK632 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ62 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT62 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 AQ962 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 AQ862 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q7 AQ762 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 AQ652 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 AQ642 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q3 AQ632 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT62 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 AJ962 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 AJ862 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 AJ762 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 AJ652 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 AJ642 high card 1,020 1.64% 1 : 59.8 37.80%
115 J3 AJ632 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 AT962 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 AT862 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 AT762 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 AT652 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 AT642 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 AT632 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 A9862 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 A9762 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 A9652 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 A9642 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 A9632 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 A8762 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 A8652 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 A8642 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 A8632 high card 1,020 1.64% 1 : 59.8 11.50%
131 75 A7652 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 A7642 high card 1,020 1.64% 1 : 59.8 8.22%
133 73 A7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 A6542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 A6532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 A6432 high card 1,020 1.64% 1 : 59.8 1.64%