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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 AKQJ7 flush 4 0.01% 1 : 15515 100.00%
2 ATs AQJT7 flush 4 0.01% 1 : 15515 99.99%
3 A9s AQJ97 flush 4 0.01% 1 : 15515 99.99%
4 A8s AQJ87 flush 4 0.01% 1 : 15515 99.98%
5 A6s AQJ76 flush 4 0.01% 1 : 15515 99.97%
6 A5s AQJ75 flush 4 0.01% 1 : 15515 99.97%
7 A4s AQJ74 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQJ73 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQJ72 flush 4 0.01% 1 : 15515 99.95%
10 KTs KQJT7 flush 4 0.01% 1 : 15515 99.94%
11 K9s KQJ97 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQJ87 flush 4 0.01% 1 : 15515 99.93%
13 K6s KQJ76 flush 4 0.01% 1 : 15515 99.92%
14 K5s KQJ75 flush 4 0.01% 1 : 15515 99.92%
15 K4s KQJ74 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQJ73 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQJ72 flush 4 0.01% 1 : 15515 99.90%
18 T9s QJT97 flush 4 0.01% 1 : 15515 99.89%
19 T8s QJT87 flush 4 0.01% 1 : 15515 99.88%
20 T6s QJT76 flush 4 0.01% 1 : 15515 99.88%
21 T5s QJT75 flush 4 0.01% 1 : 15515 99.87%
22 T4s QJT74 flush 4 0.01% 1 : 15515 99.86%
23 T3s QJT73 flush 4 0.01% 1 : 15515 99.86%
24 T2s QJT72 flush 4 0.01% 1 : 15515 99.85%
25 98s QJ987 flush 4 0.01% 1 : 15515 99.85%
26 96s QJ976 flush 4 0.01% 1 : 15515 99.84%
27 95s QJ975 flush 4 0.01% 1 : 15515 99.83%
28 94s QJ974 flush 4 0.01% 1 : 15515 99.83%
29 93s QJ973 flush 4 0.01% 1 : 15515 99.82%
30 92s QJ972 flush 4 0.01% 1 : 15515 99.81%
31 86s QJ876 flush 4 0.01% 1 : 15515 99.81%
32 85s QJ875 flush 4 0.01% 1 : 15515 99.80%
33 84s QJ874 flush 4 0.01% 1 : 15515 99.79%
34 83s QJ873 flush 4 0.01% 1 : 15515 99.79%
35 82s QJ872 flush 4 0.01% 1 : 15515 99.78%
36 65s QJ765 flush 4 0.01% 1 : 15515 99.77%
37 64s QJ764 flush 4 0.01% 1 : 15515 99.77%
38 63s QJ763 flush 4 0.01% 1 : 15515 99.76%
39 62s QJ762 flush 4 0.01% 1 : 15515 99.76%
40 54s QJ754 flush 4 0.01% 1 : 15515 99.75%
41 53s QJ753 flush 4 0.01% 1 : 15515 99.74%
42 52s QJ752 flush 4 0.01% 1 : 15515 99.74%
43 43s QJ743 flush 4 0.01% 1 : 15515 99.73%
44 42s QJ742 flush 4 0.01% 1 : 15515 99.72%
45 32s QJ732 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQJ7 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ QJJJ7 three of a kind 64 0.10% 1 : 969 99.61%
48 77 QJ777 three of a kind 64 0.10% 1 : 969 99.50%
 
49 QJ QQJJ7 two pairs 144 0.23% 1 : 430 99.40%
50 Q7 QQJ77 two pairs 144 0.23% 1 : 430 99.17%
51 J7 QJJ77 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQJ7 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQJ7 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQJ7 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQJ7 one pair 384 0.62% 1 : 161 96.85%
56 QT QQJT7 one pair 384 0.62% 1 : 161 96.23%
57 Q9 QQJ97 one pair 384 0.62% 1 : 161 95.61%
58 Q8 QQJ87 one pair 384 0.62% 1 : 161 94.99%
59 Q6 QQJ76 one pair 384 0.62% 1 : 161 94.37%
60 Q5 QQJ75 one pair 384 0.62% 1 : 161 93.75%
61 Q4 QQJ74 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQJ73 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQJ72 one pair 384 0.62% 1 : 161 91.90%
64 AJ AQJJ7 one pair 384 0.62% 1 : 161 91.28%
65 KJ KQJJ7 one pair 384 0.62% 1 : 161 90.66%
66 JT QJJT7 one pair 384 0.62% 1 : 161 90.04%
67 J9 QJJ97 one pair 384 0.62% 1 : 161 89.42%
68 J8 QJJ87 one pair 384 0.62% 1 : 161 88.81%
69 J6 QJJ76 one pair 384 0.62% 1 : 161 88.19%
70 J5 QJJ75 one pair 384 0.62% 1 : 161 87.57%
71 J4 QJJ74 one pair 384 0.62% 1 : 161 86.95%
72 J3 QJJ73 one pair 384 0.62% 1 : 161 86.33%
73 J2 QJJ72 one pair 384 0.62% 1 : 161 85.71%
74 TT QJTT7 one pair 384 0.62% 1 : 161 85.09%
75 99 QJ997 one pair 384 0.62% 1 : 161 84.47%
76 88 QJ887 one pair 384 0.62% 1 : 161 83.86%
77 A7 AQJ77 one pair 384 0.62% 1 : 161 83.24%
78 K7 KQJ77 one pair 384 0.62% 1 : 161 82.62%
79 T7 QJT77 one pair 384 0.62% 1 : 161 82.00%
80 97 QJ977 one pair 384 0.62% 1 : 161 81.38%
81 87 QJ877 one pair 384 0.62% 1 : 161 80.76%
82 76 QJ776 one pair 384 0.62% 1 : 161 80.14%
83 75 QJ775 one pair 384 0.62% 1 : 161 79.52%
84 74 QJ774 one pair 384 0.62% 1 : 161 78.91%
85 73 QJ773 one pair 384 0.62% 1 : 161 78.29%
86 72 QJ772 one pair 384 0.62% 1 : 161 77.67%
87 66 QJ766 one pair 384 0.62% 1 : 161 77.05%
88 55 QJ755 one pair 384 0.62% 1 : 161 76.43%
89 44 QJ744 one pair 384 0.62% 1 : 161 75.81%
90 33 QJ733 one pair 384 0.62% 1 : 161 75.19%
91 22 QJ722 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQJ7 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AQJT7 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AQJ97 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AQJ87 high card 1,020 1.64% 1 : 59.8 69.03%
96 A6 AQJ76 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AQJ75 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AQJ74 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQJ73 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQJ72 high card 1,020 1.64% 1 : 59.8 60.81%
101 KT KQJT7 high card 1,020 1.64% 1 : 59.8 59.16%
102 K9 KQJ97 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQJ87 high card 1,020 1.64% 1 : 59.8 55.88%
104 K6 KQJ76 high card 1,020 1.64% 1 : 59.8 54.23%
105 K5 KQJ75 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KQJ74 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQJ73 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQJ72 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 QJT97 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 QJT87 high card 1,020 1.64% 1 : 59.8 44.37%
111 T6 QJT76 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 QJT75 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 QJT74 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 QJT73 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 QJT72 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 QJ987 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 QJ976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 QJ975 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 QJ974 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 QJ973 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 QJ972 high card 1,020 1.64% 1 : 59.8 26.30%
122 86 QJ876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 QJ875 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 QJ874 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 QJ873 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 QJ872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 QJ765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 QJ764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 QJ763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 QJ762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 QJ754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 QJ753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 QJ752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 QJ743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 QJ742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 QJ732 high card 1,020 1.64% 1 : 59.8 1.64%