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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 AKJ62 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ62 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT62 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ962 flush 4 0.01% 1 : 15515 99.98%
5 A8s AJ862 flush 4 0.01% 1 : 15515 99.97%
6 A7s AJ762 flush 4 0.01% 1 : 15515 99.97%
7 A5s AJ652 flush 4 0.01% 1 : 15515 99.96%
8 A4s AJ642 flush 4 0.01% 1 : 15515 99.95%
9 A3s AJ632 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ62 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT62 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ962 flush 4 0.01% 1 : 15515 99.93%
13 K8s KJ862 flush 4 0.01% 1 : 15515 99.92%
14 K7s KJ762 flush 4 0.01% 1 : 15515 99.92%
15 K5s KJ652 flush 4 0.01% 1 : 15515 99.91%
16 K4s KJ642 flush 4 0.01% 1 : 15515 99.90%
17 K3s KJ632 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT62 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ962 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QJ862 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QJ762 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJ652 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QJ642 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QJ632 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT962 flush 4 0.01% 1 : 15515 99.85%
26 T8s JT862 flush 4 0.01% 1 : 15515 99.84%
27 T7s JT762 flush 4 0.01% 1 : 15515 99.83%
28 T5s JT652 flush 4 0.01% 1 : 15515 99.83%
29 T4s JT642 flush 4 0.01% 1 : 15515 99.82%
30 T3s JT632 flush 4 0.01% 1 : 15515 99.81%
31 98s J9862 flush 4 0.01% 1 : 15515 99.81%
32 97s J9762 flush 4 0.01% 1 : 15515 99.80%
33 95s J9652 flush 4 0.01% 1 : 15515 99.79%
34 94s J9642 flush 4 0.01% 1 : 15515 99.79%
35 93s J9632 flush 4 0.01% 1 : 15515 99.78%
36 87s J8762 flush 4 0.01% 1 : 15515 99.77%
37 85s J8652 flush 4 0.01% 1 : 15515 99.77%
38 84s J8642 flush 4 0.01% 1 : 15515 99.76%
39 83s J8632 flush 4 0.01% 1 : 15515 99.76%
40 75s J7652 flush 4 0.01% 1 : 15515 99.75%
41 74s J7642 flush 4 0.01% 1 : 15515 99.74%
42 73s J7632 flush 4 0.01% 1 : 15515 99.74%
43 54s J6542 flush 4 0.01% 1 : 15515 99.73%
44 53s J6532 flush 4 0.01% 1 : 15515 99.72%
45 43s J6432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ62 three of a kind 64 0.10% 1 : 969 99.71%
47 66 J6662 three of a kind 64 0.10% 1 : 969 99.61%
48 22 J6222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J6 JJ662 two pairs 144 0.23% 1 : 430 99.40%
50 J2 JJ622 two pairs 144 0.23% 1 : 430 99.17%
51 62 J6622 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ62 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ62 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ62 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ62 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ62 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ62 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT62 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ962 one pair 384 0.62% 1 : 161 94.37%
60 J8 JJ862 one pair 384 0.62% 1 : 161 93.75%
61 J7 JJ762 one pair 384 0.62% 1 : 161 93.14%
62 J5 JJ652 one pair 384 0.62% 1 : 161 92.52%
63 J4 JJ642 one pair 384 0.62% 1 : 161 91.90%
64 J3 JJ632 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT62 one pair 384 0.62% 1 : 161 90.66%
66 99 J9962 one pair 384 0.62% 1 : 161 90.04%
67 88 J8862 one pair 384 0.62% 1 : 161 89.42%
68 77 J7762 one pair 384 0.62% 1 : 161 88.81%
69 A6 AJ662 one pair 384 0.62% 1 : 161 88.19%
70 K6 KJ662 one pair 384 0.62% 1 : 161 87.57%
71 Q6 QJ662 one pair 384 0.62% 1 : 161 86.95%
72 T6 JT662 one pair 384 0.62% 1 : 161 86.33%
73 96 J9662 one pair 384 0.62% 1 : 161 85.71%
74 86 J8662 one pair 384 0.62% 1 : 161 85.09%
75 76 J7662 one pair 384 0.62% 1 : 161 84.47%
76 65 J6652 one pair 384 0.62% 1 : 161 83.86%
77 64 J6642 one pair 384 0.62% 1 : 161 83.24%
78 63 J6632 one pair 384 0.62% 1 : 161 82.62%
79 55 J6552 one pair 384 0.62% 1 : 161 82.00%
80 44 J6442 one pair 384 0.62% 1 : 161 81.38%
81 33 J6332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AJ622 one pair 384 0.62% 1 : 161 80.14%
83 K2 KJ622 one pair 384 0.62% 1 : 161 79.52%
84 Q2 QJ622 one pair 384 0.62% 1 : 161 78.91%
85 T2 JT622 one pair 384 0.62% 1 : 161 78.29%
86 92 J9622 one pair 384 0.62% 1 : 161 77.67%
87 82 J8622 one pair 384 0.62% 1 : 161 77.05%
88 72 J7622 one pair 384 0.62% 1 : 161 76.43%
89 52 J6522 one pair 384 0.62% 1 : 161 75.81%
90 42 J6422 one pair 384 0.62% 1 : 161 75.19%
91 32 J6322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ62 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ62 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT62 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ962 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AJ862 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AJ762 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AJ652 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AJ642 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AJ632 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ62 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT62 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ962 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KJ862 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KJ762 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KJ652 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KJ642 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KJ632 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT62 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ962 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QJ862 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QJ762 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJ652 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QJ642 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QJ632 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT962 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 JT862 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 JT762 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 JT652 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 JT642 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 JT632 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 J9862 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 J9762 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 J9652 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 J9642 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 J9632 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 J8762 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 J8652 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 J8642 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 J8632 high card 1,020 1.64% 1 : 59.8 11.50%
131 75 J7652 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 J7642 high card 1,020 1.64% 1 : 59.8 8.22%
133 73 J7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 J6542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 J6532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 J6432 high card 1,020 1.64% 1 : 59.8 1.64%