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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 AKQJ6 flush 4 0.01% 1 : 15515 100.00%
2 ATs AKJT6 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKJ96 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKJ86 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKJ76 flush 4 0.01% 1 : 15515 99.97%
6 A5s AKJ65 flush 4 0.01% 1 : 15515 99.97%
7 A4s AKJ64 flush 4 0.01% 1 : 15515 99.96%
8 A3s AKJ63 flush 4 0.01% 1 : 15515 99.95%
9 A2s AKJ62 flush 4 0.01% 1 : 15515 99.95%
10 QTs KQJT6 flush 4 0.01% 1 : 15515 99.94%
11 Q9s KQJ96 flush 4 0.01% 1 : 15515 99.94%
12 Q8s KQJ86 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQJ76 flush 4 0.01% 1 : 15515 99.92%
14 Q5s KQJ65 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQJ64 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQJ63 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQJ62 flush 4 0.01% 1 : 15515 99.90%
18 T9s KJT96 flush 4 0.01% 1 : 15515 99.89%
19 T8s KJT86 flush 4 0.01% 1 : 15515 99.88%
20 T7s KJT76 flush 4 0.01% 1 : 15515 99.88%
21 T5s KJT65 flush 4 0.01% 1 : 15515 99.87%
22 T4s KJT64 flush 4 0.01% 1 : 15515 99.86%
23 T3s KJT63 flush 4 0.01% 1 : 15515 99.86%
24 T2s KJT62 flush 4 0.01% 1 : 15515 99.85%
25 98s KJ986 flush 4 0.01% 1 : 15515 99.85%
26 97s KJ976 flush 4 0.01% 1 : 15515 99.84%
27 95s KJ965 flush 4 0.01% 1 : 15515 99.83%
28 94s KJ964 flush 4 0.01% 1 : 15515 99.83%
29 93s KJ963 flush 4 0.01% 1 : 15515 99.82%
30 92s KJ962 flush 4 0.01% 1 : 15515 99.81%
31 87s KJ876 flush 4 0.01% 1 : 15515 99.81%
32 85s KJ865 flush 4 0.01% 1 : 15515 99.80%
33 84s KJ864 flush 4 0.01% 1 : 15515 99.79%
34 83s KJ863 flush 4 0.01% 1 : 15515 99.79%
35 82s KJ862 flush 4 0.01% 1 : 15515 99.78%
36 75s KJ765 flush 4 0.01% 1 : 15515 99.77%
37 74s KJ764 flush 4 0.01% 1 : 15515 99.77%
38 73s KJ763 flush 4 0.01% 1 : 15515 99.76%
39 72s KJ762 flush 4 0.01% 1 : 15515 99.76%
40 54s KJ654 flush 4 0.01% 1 : 15515 99.75%
41 53s KJ653 flush 4 0.01% 1 : 15515 99.74%
42 52s KJ652 flush 4 0.01% 1 : 15515 99.74%
43 43s KJ643 flush 4 0.01% 1 : 15515 99.73%
44 42s KJ642 flush 4 0.01% 1 : 15515 99.72%
45 32s KJ632 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKJ6 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ KJJJ6 three of a kind 64 0.10% 1 : 969 99.61%
48 66 KJ666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KJ KKJJ6 two pairs 144 0.23% 1 : 430 99.40%
50 K6 KKJ66 two pairs 144 0.23% 1 : 430 99.17%
51 J6 KJJ66 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKJ6 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKJ6 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQJ6 one pair 384 0.62% 1 : 161 97.47%
55 KT KKJT6 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKJ96 one pair 384 0.62% 1 : 161 96.23%
57 K8 KKJ86 one pair 384 0.62% 1 : 161 95.61%
58 K7 KKJ76 one pair 384 0.62% 1 : 161 94.99%
59 K5 KKJ65 one pair 384 0.62% 1 : 161 94.37%
60 K4 KKJ64 one pair 384 0.62% 1 : 161 93.75%
61 K3 KKJ63 one pair 384 0.62% 1 : 161 93.14%
62 K2 KKJ62 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQJ6 one pair 384 0.62% 1 : 161 91.90%
64 AJ AKJJ6 one pair 384 0.62% 1 : 161 91.28%
65 QJ KQJJ6 one pair 384 0.62% 1 : 161 90.66%
66 JT KJJT6 one pair 384 0.62% 1 : 161 90.04%
67 J9 KJJ96 one pair 384 0.62% 1 : 161 89.42%
68 J8 KJJ86 one pair 384 0.62% 1 : 161 88.81%
69 J7 KJJ76 one pair 384 0.62% 1 : 161 88.19%
70 J5 KJJ65 one pair 384 0.62% 1 : 161 87.57%
71 J4 KJJ64 one pair 384 0.62% 1 : 161 86.95%
72 J3 KJJ63 one pair 384 0.62% 1 : 161 86.33%
73 J2 KJJ62 one pair 384 0.62% 1 : 161 85.71%
74 TT KJTT6 one pair 384 0.62% 1 : 161 85.09%
75 99 KJ996 one pair 384 0.62% 1 : 161 84.47%
76 88 KJ886 one pair 384 0.62% 1 : 161 83.86%
77 77 KJ776 one pair 384 0.62% 1 : 161 83.24%
78 A6 AKJ66 one pair 384 0.62% 1 : 161 82.62%
79 Q6 KQJ66 one pair 384 0.62% 1 : 161 82.00%
80 T6 KJT66 one pair 384 0.62% 1 : 161 81.38%
81 96 KJ966 one pair 384 0.62% 1 : 161 80.76%
82 86 KJ866 one pair 384 0.62% 1 : 161 80.14%
83 76 KJ766 one pair 384 0.62% 1 : 161 79.52%
84 65 KJ665 one pair 384 0.62% 1 : 161 78.91%
85 64 KJ664 one pair 384 0.62% 1 : 161 78.29%
86 63 KJ663 one pair 384 0.62% 1 : 161 77.67%
87 62 KJ662 one pair 384 0.62% 1 : 161 77.05%
88 55 KJ655 one pair 384 0.62% 1 : 161 76.43%
89 44 KJ644 one pair 384 0.62% 1 : 161 75.81%
90 33 KJ633 one pair 384 0.62% 1 : 161 75.19%
91 22 KJ622 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQJ6 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AKJT6 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKJ96 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKJ86 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKJ76 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AKJ65 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AKJ64 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AKJ63 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AKJ62 high card 1,020 1.64% 1 : 59.8 60.81%
101 QT KQJT6 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 KQJ96 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 KQJ86 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQJ76 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 KQJ65 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQJ64 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQJ63 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQJ62 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 KJT96 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 KJT86 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 KJT76 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 KJT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 KJT64 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 KJT63 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 KJT62 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 KJ986 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 KJ976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 KJ965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 KJ964 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 KJ963 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 KJ962 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 KJ876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 KJ865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 KJ864 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 KJ863 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 KJ862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 KJ765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 KJ764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 KJ763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 KJ762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 KJ654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 KJ653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 KJ652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 KJ643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 KJ642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KJ632 high card 1,020 1.64% 1 : 59.8 1.64%