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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 AKQJ6 flush 4 0.01% 1 : 15515 100.00%
2 KTs AKJT6 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKJ96 flush 4 0.01% 1 : 15515 99.99%
4 K8s AKJ86 flush 4 0.01% 1 : 15515 99.98%
5 K7s AKJ76 flush 4 0.01% 1 : 15515 99.97%
6 K5s AKJ65 flush 4 0.01% 1 : 15515 99.97%
7 K4s AKJ64 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKJ63 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKJ62 flush 4 0.01% 1 : 15515 99.95%
10 QTs AQJT6 flush 4 0.01% 1 : 15515 99.94%
11 Q9s AQJ96 flush 4 0.01% 1 : 15515 99.94%
12 Q8s AQJ86 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQJ76 flush 4 0.01% 1 : 15515 99.92%
14 Q5s AQJ65 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQJ64 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQJ63 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQJ62 flush 4 0.01% 1 : 15515 99.90%
18 T9s AJT96 flush 4 0.01% 1 : 15515 99.89%
19 T8s AJT86 flush 4 0.01% 1 : 15515 99.88%
20 T7s AJT76 flush 4 0.01% 1 : 15515 99.88%
21 T5s AJT65 flush 4 0.01% 1 : 15515 99.87%
22 T4s AJT64 flush 4 0.01% 1 : 15515 99.86%
23 T3s AJT63 flush 4 0.01% 1 : 15515 99.86%
24 T2s AJT62 flush 4 0.01% 1 : 15515 99.85%
25 98s AJ986 flush 4 0.01% 1 : 15515 99.85%
26 97s AJ976 flush 4 0.01% 1 : 15515 99.84%
27 95s AJ965 flush 4 0.01% 1 : 15515 99.83%
28 94s AJ964 flush 4 0.01% 1 : 15515 99.83%
29 93s AJ963 flush 4 0.01% 1 : 15515 99.82%
30 92s AJ962 flush 4 0.01% 1 : 15515 99.81%
31 87s AJ876 flush 4 0.01% 1 : 15515 99.81%
32 85s AJ865 flush 4 0.01% 1 : 15515 99.80%
33 84s AJ864 flush 4 0.01% 1 : 15515 99.79%
34 83s AJ863 flush 4 0.01% 1 : 15515 99.79%
35 82s AJ862 flush 4 0.01% 1 : 15515 99.78%
36 75s AJ765 flush 4 0.01% 1 : 15515 99.77%
37 74s AJ764 flush 4 0.01% 1 : 15515 99.77%
38 73s AJ763 flush 4 0.01% 1 : 15515 99.76%
39 72s AJ762 flush 4 0.01% 1 : 15515 99.76%
40 54s AJ654 flush 4 0.01% 1 : 15515 99.75%
41 53s AJ653 flush 4 0.01% 1 : 15515 99.74%
42 52s AJ652 flush 4 0.01% 1 : 15515 99.74%
43 43s AJ643 flush 4 0.01% 1 : 15515 99.73%
44 42s AJ642 flush 4 0.01% 1 : 15515 99.72%
45 32s AJ632 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAJ6 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ AJJJ6 three of a kind 64 0.10% 1 : 969 99.61%
48 66 AJ666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AJ AAJJ6 two pairs 144 0.23% 1 : 430 99.40%
50 A6 AAJ66 two pairs 144 0.23% 1 : 430 99.17%
51 J6 AJJ66 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKJ6 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQJ6 one pair 384 0.62% 1 : 161 98.09%
54 AT AAJT6 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAJ96 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAJ86 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAJ76 one pair 384 0.62% 1 : 161 95.61%
58 A5 AAJ65 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAJ64 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAJ63 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAJ62 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKJ6 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQJ6 one pair 384 0.62% 1 : 161 91.90%
64 KJ AKJJ6 one pair 384 0.62% 1 : 161 91.28%
65 QJ AQJJ6 one pair 384 0.62% 1 : 161 90.66%
66 JT AJJT6 one pair 384 0.62% 1 : 161 90.04%
67 J9 AJJ96 one pair 384 0.62% 1 : 161 89.42%
68 J8 AJJ86 one pair 384 0.62% 1 : 161 88.81%
69 J7 AJJ76 one pair 384 0.62% 1 : 161 88.19%
70 J5 AJJ65 one pair 384 0.62% 1 : 161 87.57%
71 J4 AJJ64 one pair 384 0.62% 1 : 161 86.95%
72 J3 AJJ63 one pair 384 0.62% 1 : 161 86.33%
73 J2 AJJ62 one pair 384 0.62% 1 : 161 85.71%
74 TT AJTT6 one pair 384 0.62% 1 : 161 85.09%
75 99 AJ996 one pair 384 0.62% 1 : 161 84.47%
76 88 AJ886 one pair 384 0.62% 1 : 161 83.86%
77 77 AJ776 one pair 384 0.62% 1 : 161 83.24%
78 K6 AKJ66 one pair 384 0.62% 1 : 161 82.62%
79 Q6 AQJ66 one pair 384 0.62% 1 : 161 82.00%
80 T6 AJT66 one pair 384 0.62% 1 : 161 81.38%
81 96 AJ966 one pair 384 0.62% 1 : 161 80.76%
82 86 AJ866 one pair 384 0.62% 1 : 161 80.14%
83 76 AJ766 one pair 384 0.62% 1 : 161 79.52%
84 65 AJ665 one pair 384 0.62% 1 : 161 78.91%
85 64 AJ664 one pair 384 0.62% 1 : 161 78.29%
86 63 AJ663 one pair 384 0.62% 1 : 161 77.67%
87 62 AJ662 one pair 384 0.62% 1 : 161 77.05%
88 55 AJ655 one pair 384 0.62% 1 : 161 76.43%
89 44 AJ644 one pair 384 0.62% 1 : 161 75.81%
90 33 AJ633 one pair 384 0.62% 1 : 161 75.19%
91 22 AJ622 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQJ6 high card 1,020 1.64% 1 : 59.8 73.96%
93 KT AKJT6 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKJ96 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AKJ86 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AKJ76 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AKJ65 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AKJ64 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKJ63 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKJ62 high card 1,020 1.64% 1 : 59.8 60.81%
101 QT AQJT6 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 AQJ96 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 AQJ86 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQJ76 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 AQJ65 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQJ64 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQJ63 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQJ62 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AJT96 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 AJT86 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 AJT76 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 AJT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 AJT64 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 AJT63 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AJT62 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AJ986 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AJ976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 AJ965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 AJ964 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AJ963 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AJ962 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AJ876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 AJ865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 AJ864 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 AJ863 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AJ862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 AJ765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 AJ764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 AJ763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 AJ762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AJ654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AJ653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AJ652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AJ643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AJ642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AJ632 high card 1,020 1.64% 1 : 59.8 1.64%