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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 AKQJ2 flush 4 0.01% 1 : 15515 100.00%
2 KTs AKJT2 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKJ92 flush 4 0.01% 1 : 15515 99.99%
4 K8s AKJ82 flush 4 0.01% 1 : 15515 99.98%
5 K7s AKJ72 flush 4 0.01% 1 : 15515 99.97%
6 K6s AKJ62 flush 4 0.01% 1 : 15515 99.97%
7 K5s AKJ52 flush 4 0.01% 1 : 15515 99.96%
8 K4s AKJ42 flush 4 0.01% 1 : 15515 99.95%
9 K3s AKJ32 flush 4 0.01% 1 : 15515 99.95%
10 QTs AQJT2 flush 4 0.01% 1 : 15515 99.94%
11 Q9s AQJ92 flush 4 0.01% 1 : 15515 99.94%
12 Q8s AQJ82 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQJ72 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQJ62 flush 4 0.01% 1 : 15515 99.92%
15 Q5s AQJ52 flush 4 0.01% 1 : 15515 99.91%
16 Q4s AQJ42 flush 4 0.01% 1 : 15515 99.90%
17 Q3s AQJ32 flush 4 0.01% 1 : 15515 99.90%
18 T9s AJT92 flush 4 0.01% 1 : 15515 99.89%
19 T8s AJT82 flush 4 0.01% 1 : 15515 99.88%
20 T7s AJT72 flush 4 0.01% 1 : 15515 99.88%
21 T6s AJT62 flush 4 0.01% 1 : 15515 99.87%
22 T5s AJT52 flush 4 0.01% 1 : 15515 99.86%
23 T4s AJT42 flush 4 0.01% 1 : 15515 99.86%
24 T3s AJT32 flush 4 0.01% 1 : 15515 99.85%
25 98s AJ982 flush 4 0.01% 1 : 15515 99.85%
26 97s AJ972 flush 4 0.01% 1 : 15515 99.84%
27 96s AJ962 flush 4 0.01% 1 : 15515 99.83%
28 95s AJ952 flush 4 0.01% 1 : 15515 99.83%
29 94s AJ942 flush 4 0.01% 1 : 15515 99.82%
30 93s AJ932 flush 4 0.01% 1 : 15515 99.81%
31 87s AJ872 flush 4 0.01% 1 : 15515 99.81%
32 86s AJ862 flush 4 0.01% 1 : 15515 99.80%
33 85s AJ852 flush 4 0.01% 1 : 15515 99.79%
34 84s AJ842 flush 4 0.01% 1 : 15515 99.79%
35 83s AJ832 flush 4 0.01% 1 : 15515 99.78%
36 76s AJ762 flush 4 0.01% 1 : 15515 99.77%
37 75s AJ752 flush 4 0.01% 1 : 15515 99.77%
38 74s AJ742 flush 4 0.01% 1 : 15515 99.76%
39 73s AJ732 flush 4 0.01% 1 : 15515 99.76%
40 65s AJ652 flush 4 0.01% 1 : 15515 99.75%
41 64s AJ642 flush 4 0.01% 1 : 15515 99.74%
42 63s AJ632 flush 4 0.01% 1 : 15515 99.74%
43 54s AJ542 flush 4 0.01% 1 : 15515 99.73%
44 53s AJ532 flush 4 0.01% 1 : 15515 99.72%
45 43s AJ432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAJ2 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ AJJJ2 three of a kind 64 0.10% 1 : 969 99.61%
48 22 AJ222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AJ AAJJ2 two pairs 144 0.23% 1 : 430 99.40%
50 A2 AAJ22 two pairs 144 0.23% 1 : 430 99.17%
51 J2 AJJ22 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKJ2 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQJ2 one pair 384 0.62% 1 : 161 98.09%
54 AT AAJT2 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAJ92 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAJ82 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAJ72 one pair 384 0.62% 1 : 161 95.61%
58 A6 AAJ62 one pair 384 0.62% 1 : 161 94.99%
59 A5 AAJ52 one pair 384 0.62% 1 : 161 94.37%
60 A4 AAJ42 one pair 384 0.62% 1 : 161 93.75%
61 A3 AAJ32 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKJ2 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQJ2 one pair 384 0.62% 1 : 161 91.90%
64 KJ AKJJ2 one pair 384 0.62% 1 : 161 91.28%
65 QJ AQJJ2 one pair 384 0.62% 1 : 161 90.66%
66 JT AJJT2 one pair 384 0.62% 1 : 161 90.04%
67 J9 AJJ92 one pair 384 0.62% 1 : 161 89.42%
68 J8 AJJ82 one pair 384 0.62% 1 : 161 88.81%
69 J7 AJJ72 one pair 384 0.62% 1 : 161 88.19%
70 J6 AJJ62 one pair 384 0.62% 1 : 161 87.57%
71 J5 AJJ52 one pair 384 0.62% 1 : 161 86.95%
72 J4 AJJ42 one pair 384 0.62% 1 : 161 86.33%
73 J3 AJJ32 one pair 384 0.62% 1 : 161 85.71%
74 TT AJTT2 one pair 384 0.62% 1 : 161 85.09%
75 99 AJ992 one pair 384 0.62% 1 : 161 84.47%
76 88 AJ882 one pair 384 0.62% 1 : 161 83.86%
77 77 AJ772 one pair 384 0.62% 1 : 161 83.24%
78 66 AJ662 one pair 384 0.62% 1 : 161 82.62%
79 55 AJ552 one pair 384 0.62% 1 : 161 82.00%
80 44 AJ442 one pair 384 0.62% 1 : 161 81.38%
81 33 AJ332 one pair 384 0.62% 1 : 161 80.76%
82 K2 AKJ22 one pair 384 0.62% 1 : 161 80.14%
83 Q2 AQJ22 one pair 384 0.62% 1 : 161 79.52%
84 T2 AJT22 one pair 384 0.62% 1 : 161 78.91%
85 92 AJ922 one pair 384 0.62% 1 : 161 78.29%
86 82 AJ822 one pair 384 0.62% 1 : 161 77.67%
87 72 AJ722 one pair 384 0.62% 1 : 161 77.05%
88 62 AJ622 one pair 384 0.62% 1 : 161 76.43%
89 52 AJ522 one pair 384 0.62% 1 : 161 75.81%
90 42 AJ422 one pair 384 0.62% 1 : 161 75.19%
91 32 AJ322 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQJ2 high card 1,020 1.64% 1 : 59.8 73.96%
93 KT AKJT2 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKJ92 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AKJ82 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AKJ72 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AKJ62 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AKJ52 high card 1,020 1.64% 1 : 59.8 64.10%
99 K4 AKJ42 high card 1,020 1.64% 1 : 59.8 62.45%
100 K3 AKJ32 high card 1,020 1.64% 1 : 59.8 60.81%
101 QT AQJT2 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 AQJ92 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 AQJ82 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQJ72 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQJ62 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 AQJ52 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 AQJ42 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q3 AQJ32 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AJT92 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 AJT82 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 AJT72 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 AJT62 high card 1,020 1.64% 1 : 59.8 41.09%
113 T5 AJT52 high card 1,020 1.64% 1 : 59.8 39.44%
114 T4 AJT42 high card 1,020 1.64% 1 : 59.8 37.80%
115 T3 AJT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AJ982 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AJ972 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 AJ962 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 AJ952 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 AJ942 high card 1,020 1.64% 1 : 59.8 27.94%
121 93 AJ932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AJ872 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 AJ862 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 AJ852 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 AJ842 high card 1,020 1.64% 1 : 59.8 19.72%
126 83 AJ832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 AJ762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 AJ752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 AJ742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 AJ732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 AJ652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 AJ642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 AJ632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 AJ542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 AJ532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 AJ432 high card 1,020 1.64% 1 : 59.8 1.64%