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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 AKQJ6 flush 4 0.01% 1 : 15515 100.00%
2 ATs AQJT6 flush 4 0.01% 1 : 15515 99.99%
3 A9s AQJ96 flush 4 0.01% 1 : 15515 99.99%
4 A8s AQJ86 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQJ76 flush 4 0.01% 1 : 15515 99.97%
6 A5s AQJ65 flush 4 0.01% 1 : 15515 99.97%
7 A4s AQJ64 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQJ63 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQJ62 flush 4 0.01% 1 : 15515 99.95%
10 KTs KQJT6 flush 4 0.01% 1 : 15515 99.94%
11 K9s KQJ96 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQJ86 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQJ76 flush 4 0.01% 1 : 15515 99.92%
14 K5s KQJ65 flush 4 0.01% 1 : 15515 99.92%
15 K4s KQJ64 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQJ63 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQJ62 flush 4 0.01% 1 : 15515 99.90%
18 T9s QJT96 flush 4 0.01% 1 : 15515 99.89%
19 T8s QJT86 flush 4 0.01% 1 : 15515 99.88%
20 T7s QJT76 flush 4 0.01% 1 : 15515 99.88%
21 T5s QJT65 flush 4 0.01% 1 : 15515 99.87%
22 T4s QJT64 flush 4 0.01% 1 : 15515 99.86%
23 T3s QJT63 flush 4 0.01% 1 : 15515 99.86%
24 T2s QJT62 flush 4 0.01% 1 : 15515 99.85%
25 98s QJ986 flush 4 0.01% 1 : 15515 99.85%
26 97s QJ976 flush 4 0.01% 1 : 15515 99.84%
27 95s QJ965 flush 4 0.01% 1 : 15515 99.83%
28 94s QJ964 flush 4 0.01% 1 : 15515 99.83%
29 93s QJ963 flush 4 0.01% 1 : 15515 99.82%
30 92s QJ962 flush 4 0.01% 1 : 15515 99.81%
31 87s QJ876 flush 4 0.01% 1 : 15515 99.81%
32 85s QJ865 flush 4 0.01% 1 : 15515 99.80%
33 84s QJ864 flush 4 0.01% 1 : 15515 99.79%
34 83s QJ863 flush 4 0.01% 1 : 15515 99.79%
35 82s QJ862 flush 4 0.01% 1 : 15515 99.78%
36 75s QJ765 flush 4 0.01% 1 : 15515 99.77%
37 74s QJ764 flush 4 0.01% 1 : 15515 99.77%
38 73s QJ763 flush 4 0.01% 1 : 15515 99.76%
39 72s QJ762 flush 4 0.01% 1 : 15515 99.76%
40 54s QJ654 flush 4 0.01% 1 : 15515 99.75%
41 53s QJ653 flush 4 0.01% 1 : 15515 99.74%
42 52s QJ652 flush 4 0.01% 1 : 15515 99.74%
43 43s QJ643 flush 4 0.01% 1 : 15515 99.73%
44 42s QJ642 flush 4 0.01% 1 : 15515 99.72%
45 32s QJ632 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQJ6 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ QJJJ6 three of a kind 64 0.10% 1 : 969 99.61%
48 66 QJ666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 QJ QQJJ6 two pairs 144 0.23% 1 : 430 99.40%
50 Q6 QQJ66 two pairs 144 0.23% 1 : 430 99.17%
51 J6 QJJ66 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQJ6 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQJ6 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQJ6 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQJ6 one pair 384 0.62% 1 : 161 96.85%
56 QT QQJT6 one pair 384 0.62% 1 : 161 96.23%
57 Q9 QQJ96 one pair 384 0.62% 1 : 161 95.61%
58 Q8 QQJ86 one pair 384 0.62% 1 : 161 94.99%
59 Q7 QQJ76 one pair 384 0.62% 1 : 161 94.37%
60 Q5 QQJ65 one pair 384 0.62% 1 : 161 93.75%
61 Q4 QQJ64 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQJ63 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQJ62 one pair 384 0.62% 1 : 161 91.90%
64 AJ AQJJ6 one pair 384 0.62% 1 : 161 91.28%
65 KJ KQJJ6 one pair 384 0.62% 1 : 161 90.66%
66 JT QJJT6 one pair 384 0.62% 1 : 161 90.04%
67 J9 QJJ96 one pair 384 0.62% 1 : 161 89.42%
68 J8 QJJ86 one pair 384 0.62% 1 : 161 88.81%
69 J7 QJJ76 one pair 384 0.62% 1 : 161 88.19%
70 J5 QJJ65 one pair 384 0.62% 1 : 161 87.57%
71 J4 QJJ64 one pair 384 0.62% 1 : 161 86.95%
72 J3 QJJ63 one pair 384 0.62% 1 : 161 86.33%
73 J2 QJJ62 one pair 384 0.62% 1 : 161 85.71%
74 TT QJTT6 one pair 384 0.62% 1 : 161 85.09%
75 99 QJ996 one pair 384 0.62% 1 : 161 84.47%
76 88 QJ886 one pair 384 0.62% 1 : 161 83.86%
77 77 QJ776 one pair 384 0.62% 1 : 161 83.24%
78 A6 AQJ66 one pair 384 0.62% 1 : 161 82.62%
79 K6 KQJ66 one pair 384 0.62% 1 : 161 82.00%
80 T6 QJT66 one pair 384 0.62% 1 : 161 81.38%
81 96 QJ966 one pair 384 0.62% 1 : 161 80.76%
82 86 QJ866 one pair 384 0.62% 1 : 161 80.14%
83 76 QJ766 one pair 384 0.62% 1 : 161 79.52%
84 65 QJ665 one pair 384 0.62% 1 : 161 78.91%
85 64 QJ664 one pair 384 0.62% 1 : 161 78.29%
86 63 QJ663 one pair 384 0.62% 1 : 161 77.67%
87 62 QJ662 one pair 384 0.62% 1 : 161 77.05%
88 55 QJ655 one pair 384 0.62% 1 : 161 76.43%
89 44 QJ644 one pair 384 0.62% 1 : 161 75.81%
90 33 QJ633 one pair 384 0.62% 1 : 161 75.19%
91 22 QJ622 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQJ6 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AQJT6 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AQJ96 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AQJ86 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQJ76 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AQJ65 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AQJ64 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQJ63 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQJ62 high card 1,020 1.64% 1 : 59.8 60.81%
101 KT KQJT6 high card 1,020 1.64% 1 : 59.8 59.16%
102 K9 KQJ96 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQJ86 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQJ76 high card 1,020 1.64% 1 : 59.8 54.23%
105 K5 KQJ65 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KQJ64 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQJ63 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQJ62 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 QJT96 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 QJT86 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 QJT76 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 QJT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 QJT64 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 QJT63 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 QJT62 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 QJ986 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 QJ976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 QJ965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 QJ964 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 QJ963 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 QJ962 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 QJ876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 QJ865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 QJ864 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 QJ863 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 QJ862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 QJ765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 QJ764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 QJ763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 QJ762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 QJ654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 QJ653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 QJ652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 QJ643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 QJ642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 QJ632 high card 1,020 1.64% 1 : 59.8 1.64%