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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 AQs AKQJ8 flush 4 0.01% 1 : 15515 100.00%
2 ATs AKJT8 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKJ98 flush 4 0.01% 1 : 15515 99.99%
4 A7s AKJ87 flush 4 0.01% 1 : 15515 99.98%
5 A6s AKJ86 flush 4 0.01% 1 : 15515 99.97%
6 A5s AKJ85 flush 4 0.01% 1 : 15515 99.97%
7 A4s AKJ84 flush 4 0.01% 1 : 15515 99.96%
8 A3s AKJ83 flush 4 0.01% 1 : 15515 99.95%
9 A2s AKJ82 flush 4 0.01% 1 : 15515 99.95%
10 QTs KQJT8 flush 4 0.01% 1 : 15515 99.94%
11 Q9s KQJ98 flush 4 0.01% 1 : 15515 99.94%
12 Q7s KQJ87 flush 4 0.01% 1 : 15515 99.93%
13 Q6s KQJ86 flush 4 0.01% 1 : 15515 99.92%
14 Q5s KQJ85 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQJ84 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQJ83 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQJ82 flush 4 0.01% 1 : 15515 99.90%
18 T9s KJT98 flush 4 0.01% 1 : 15515 99.89%
19 T7s KJT87 flush 4 0.01% 1 : 15515 99.88%
20 T6s KJT86 flush 4 0.01% 1 : 15515 99.88%
21 T5s KJT85 flush 4 0.01% 1 : 15515 99.87%
22 T4s KJT84 flush 4 0.01% 1 : 15515 99.86%
23 T3s KJT83 flush 4 0.01% 1 : 15515 99.86%
24 T2s KJT82 flush 4 0.01% 1 : 15515 99.85%
25 97s KJ987 flush 4 0.01% 1 : 15515 99.85%
26 96s KJ986 flush 4 0.01% 1 : 15515 99.84%
27 95s KJ985 flush 4 0.01% 1 : 15515 99.83%
28 94s KJ984 flush 4 0.01% 1 : 15515 99.83%
29 93s KJ983 flush 4 0.01% 1 : 15515 99.82%
30 92s KJ982 flush 4 0.01% 1 : 15515 99.81%
31 76s KJ876 flush 4 0.01% 1 : 15515 99.81%
32 75s KJ875 flush 4 0.01% 1 : 15515 99.80%
33 74s KJ874 flush 4 0.01% 1 : 15515 99.79%
34 73s KJ873 flush 4 0.01% 1 : 15515 99.79%
35 72s KJ872 flush 4 0.01% 1 : 15515 99.78%
36 65s KJ865 flush 4 0.01% 1 : 15515 99.77%
37 64s KJ864 flush 4 0.01% 1 : 15515 99.77%
38 63s KJ863 flush 4 0.01% 1 : 15515 99.76%
39 62s KJ862 flush 4 0.01% 1 : 15515 99.76%
40 54s KJ854 flush 4 0.01% 1 : 15515 99.75%
41 53s KJ853 flush 4 0.01% 1 : 15515 99.74%
42 52s KJ852 flush 4 0.01% 1 : 15515 99.74%
43 43s KJ843 flush 4 0.01% 1 : 15515 99.73%
44 42s KJ842 flush 4 0.01% 1 : 15515 99.72%
45 32s KJ832 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKJ8 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ KJJJ8 three of a kind 64 0.10% 1 : 969 99.61%
48 88 KJ888 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KJ KKJJ8 two pairs 144 0.23% 1 : 430 99.40%
50 K8 KKJ88 two pairs 144 0.23% 1 : 430 99.17%
51 J8 KJJ88 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKJ8 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKJ8 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQJ8 one pair 384 0.62% 1 : 161 97.47%
55 KT KKJT8 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKJ98 one pair 384 0.62% 1 : 161 96.23%
57 K7 KKJ87 one pair 384 0.62% 1 : 161 95.61%
58 K6 KKJ86 one pair 384 0.62% 1 : 161 94.99%
59 K5 KKJ85 one pair 384 0.62% 1 : 161 94.37%
60 K4 KKJ84 one pair 384 0.62% 1 : 161 93.75%
61 K3 KKJ83 one pair 384 0.62% 1 : 161 93.14%
62 K2 KKJ82 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQJ8 one pair 384 0.62% 1 : 161 91.90%
64 AJ AKJJ8 one pair 384 0.62% 1 : 161 91.28%
65 QJ KQJJ8 one pair 384 0.62% 1 : 161 90.66%
66 JT KJJT8 one pair 384 0.62% 1 : 161 90.04%
67 J9 KJJ98 one pair 384 0.62% 1 : 161 89.42%
68 J7 KJJ87 one pair 384 0.62% 1 : 161 88.81%
69 J6 KJJ86 one pair 384 0.62% 1 : 161 88.19%
70 J5 KJJ85 one pair 384 0.62% 1 : 161 87.57%
71 J4 KJJ84 one pair 384 0.62% 1 : 161 86.95%
72 J3 KJJ83 one pair 384 0.62% 1 : 161 86.33%
73 J2 KJJ82 one pair 384 0.62% 1 : 161 85.71%
74 TT KJTT8 one pair 384 0.62% 1 : 161 85.09%
75 99 KJ998 one pair 384 0.62% 1 : 161 84.47%
76 A8 AKJ88 one pair 384 0.62% 1 : 161 83.86%
77 Q8 KQJ88 one pair 384 0.62% 1 : 161 83.24%
78 T8 KJT88 one pair 384 0.62% 1 : 161 82.62%
79 98 KJ988 one pair 384 0.62% 1 : 161 82.00%
80 87 KJ887 one pair 384 0.62% 1 : 161 81.38%
81 86 KJ886 one pair 384 0.62% 1 : 161 80.76%
82 85 KJ885 one pair 384 0.62% 1 : 161 80.14%
83 84 KJ884 one pair 384 0.62% 1 : 161 79.52%
84 83 KJ883 one pair 384 0.62% 1 : 161 78.91%
85 82 KJ882 one pair 384 0.62% 1 : 161 78.29%
86 77 KJ877 one pair 384 0.62% 1 : 161 77.67%
87 66 KJ866 one pair 384 0.62% 1 : 161 77.05%
88 55 KJ855 one pair 384 0.62% 1 : 161 76.43%
89 44 KJ844 one pair 384 0.62% 1 : 161 75.81%
90 33 KJ833 one pair 384 0.62% 1 : 161 75.19%
91 22 KJ822 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQJ8 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AKJT8 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKJ98 high card 1,020 1.64% 1 : 59.8 70.67%
95 A7 AKJ87 high card 1,020 1.64% 1 : 59.8 69.03%
96 A6 AKJ86 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AKJ85 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AKJ84 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AKJ83 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AKJ82 high card 1,020 1.64% 1 : 59.8 60.81%
101 QT KQJT8 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 KQJ98 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q7 KQJ87 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 KQJ86 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 KQJ85 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQJ84 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQJ83 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQJ82 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 KJT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 T7 KJT87 high card 1,020 1.64% 1 : 59.8 44.37%
111 T6 KJT86 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 KJT85 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 KJT84 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 KJT83 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 KJT82 high card 1,020 1.64% 1 : 59.8 36.16%
116 97 KJ987 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 KJ986 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 KJ985 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 KJ984 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 KJ983 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 KJ982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 KJ876 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 KJ875 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 KJ874 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 KJ873 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 KJ872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 KJ865 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 KJ864 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 KJ863 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 KJ862 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 KJ854 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 KJ853 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 KJ852 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 KJ843 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 KJ842 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KJ832 high card 1,020 1.64% 1 : 59.8 1.64%