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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 AKQJ2 flush 4 0.01% 1 : 15515 100.00%
2 ATs AQJT2 flush 4 0.01% 1 : 15515 99.99%
3 A9s AQJ92 flush 4 0.01% 1 : 15515 99.99%
4 A8s AQJ82 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQJ72 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQJ62 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQJ52 flush 4 0.01% 1 : 15515 99.96%
8 A4s AQJ42 flush 4 0.01% 1 : 15515 99.95%
9 A3s AQJ32 flush 4 0.01% 1 : 15515 99.95%
10 KTs KQJT2 flush 4 0.01% 1 : 15515 99.94%
11 K9s KQJ92 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQJ82 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQJ72 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQJ62 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQJ52 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQJ42 flush 4 0.01% 1 : 15515 99.90%
17 K3s KQJ32 flush 4 0.01% 1 : 15515 99.90%
18 T9s QJT92 flush 4 0.01% 1 : 15515 99.89%
19 T8s QJT82 flush 4 0.01% 1 : 15515 99.88%
20 T7s QJT72 flush 4 0.01% 1 : 15515 99.88%
21 T6s QJT62 flush 4 0.01% 1 : 15515 99.87%
22 T5s QJT52 flush 4 0.01% 1 : 15515 99.86%
23 T4s QJT42 flush 4 0.01% 1 : 15515 99.86%
24 T3s QJT32 flush 4 0.01% 1 : 15515 99.85%
25 98s QJ982 flush 4 0.01% 1 : 15515 99.85%
26 97s QJ972 flush 4 0.01% 1 : 15515 99.84%
27 96s QJ962 flush 4 0.01% 1 : 15515 99.83%
28 95s QJ952 flush 4 0.01% 1 : 15515 99.83%
29 94s QJ942 flush 4 0.01% 1 : 15515 99.82%
30 93s QJ932 flush 4 0.01% 1 : 15515 99.81%
31 87s QJ872 flush 4 0.01% 1 : 15515 99.81%
32 86s QJ862 flush 4 0.01% 1 : 15515 99.80%
33 85s QJ852 flush 4 0.01% 1 : 15515 99.79%
34 84s QJ842 flush 4 0.01% 1 : 15515 99.79%
35 83s QJ832 flush 4 0.01% 1 : 15515 99.78%
36 76s QJ762 flush 4 0.01% 1 : 15515 99.77%
37 75s QJ752 flush 4 0.01% 1 : 15515 99.77%
38 74s QJ742 flush 4 0.01% 1 : 15515 99.76%
39 73s QJ732 flush 4 0.01% 1 : 15515 99.76%
40 65s QJ652 flush 4 0.01% 1 : 15515 99.75%
41 64s QJ642 flush 4 0.01% 1 : 15515 99.74%
42 63s QJ632 flush 4 0.01% 1 : 15515 99.74%
43 54s QJ542 flush 4 0.01% 1 : 15515 99.73%
44 53s QJ532 flush 4 0.01% 1 : 15515 99.72%
45 43s QJ432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQJ2 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ QJJJ2 three of a kind 64 0.10% 1 : 969 99.61%
48 22 QJ222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 QJ QQJJ2 two pairs 144 0.23% 1 : 430 99.40%
50 Q2 QQJ22 two pairs 144 0.23% 1 : 430 99.17%
51 J2 QJJ22 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQJ2 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQJ2 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQJ2 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQJ2 one pair 384 0.62% 1 : 161 96.85%
56 QT QQJT2 one pair 384 0.62% 1 : 161 96.23%
57 Q9 QQJ92 one pair 384 0.62% 1 : 161 95.61%
58 Q8 QQJ82 one pair 384 0.62% 1 : 161 94.99%
59 Q7 QQJ72 one pair 384 0.62% 1 : 161 94.37%
60 Q6 QQJ62 one pair 384 0.62% 1 : 161 93.75%
61 Q5 QQJ52 one pair 384 0.62% 1 : 161 93.14%
62 Q4 QQJ42 one pair 384 0.62% 1 : 161 92.52%
63 Q3 QQJ32 one pair 384 0.62% 1 : 161 91.90%
64 AJ AQJJ2 one pair 384 0.62% 1 : 161 91.28%
65 KJ KQJJ2 one pair 384 0.62% 1 : 161 90.66%
66 JT QJJT2 one pair 384 0.62% 1 : 161 90.04%
67 J9 QJJ92 one pair 384 0.62% 1 : 161 89.42%
68 J8 QJJ82 one pair 384 0.62% 1 : 161 88.81%
69 J7 QJJ72 one pair 384 0.62% 1 : 161 88.19%
70 J6 QJJ62 one pair 384 0.62% 1 : 161 87.57%
71 J5 QJJ52 one pair 384 0.62% 1 : 161 86.95%
72 J4 QJJ42 one pair 384 0.62% 1 : 161 86.33%
73 J3 QJJ32 one pair 384 0.62% 1 : 161 85.71%
74 TT QJTT2 one pair 384 0.62% 1 : 161 85.09%
75 99 QJ992 one pair 384 0.62% 1 : 161 84.47%
76 88 QJ882 one pair 384 0.62% 1 : 161 83.86%
77 77 QJ772 one pair 384 0.62% 1 : 161 83.24%
78 66 QJ662 one pair 384 0.62% 1 : 161 82.62%
79 55 QJ552 one pair 384 0.62% 1 : 161 82.00%
80 44 QJ442 one pair 384 0.62% 1 : 161 81.38%
81 33 QJ332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AQJ22 one pair 384 0.62% 1 : 161 80.14%
83 K2 KQJ22 one pair 384 0.62% 1 : 161 79.52%
84 T2 QJT22 one pair 384 0.62% 1 : 161 78.91%
85 92 QJ922 one pair 384 0.62% 1 : 161 78.29%
86 82 QJ822 one pair 384 0.62% 1 : 161 77.67%
87 72 QJ722 one pair 384 0.62% 1 : 161 77.05%
88 62 QJ622 one pair 384 0.62% 1 : 161 76.43%
89 52 QJ522 one pair 384 0.62% 1 : 161 75.81%
90 42 QJ422 one pair 384 0.62% 1 : 161 75.19%
91 32 QJ322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQJ2 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AQJT2 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AQJ92 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AQJ82 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQJ72 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQJ62 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQJ52 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AQJ42 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AQJ32 high card 1,020 1.64% 1 : 59.8 60.81%
101 KT KQJT2 high card 1,020 1.64% 1 : 59.8 59.16%
102 K9 KQJ92 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQJ82 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQJ72 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQJ62 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQJ52 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQJ42 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KQJ32 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 QJT92 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 QJT82 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 QJT72 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 QJT62 high card 1,020 1.64% 1 : 59.8 41.09%
113 T5 QJT52 high card 1,020 1.64% 1 : 59.8 39.44%
114 T4 QJT42 high card 1,020 1.64% 1 : 59.8 37.80%
115 T3 QJT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 QJ982 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 QJ972 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 QJ962 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 QJ952 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 QJ942 high card 1,020 1.64% 1 : 59.8 27.94%
121 93 QJ932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 QJ872 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 QJ862 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 QJ852 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 QJ842 high card 1,020 1.64% 1 : 59.8 19.72%
126 83 QJ832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 QJ762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 QJ752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 QJ742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 QJ732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 QJ652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 QJ642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 QJ632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 QJ542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 QJ532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 QJ432 high card 1,020 1.64% 1 : 59.8 1.64%