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 AKQJ7 flush 4 0.01% 1 : 15515 100.00%
2 ATs AKJT7 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKJ97 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKJ87 flush 4 0.01% 1 : 15515 99.98%
5 A6s AKJ76 flush 4 0.01% 1 : 15515 99.97%
6 A5s AKJ75 flush 4 0.01% 1 : 15515 99.97%
7 A4s AKJ74 flush 4 0.01% 1 : 15515 99.96%
8 A3s AKJ73 flush 4 0.01% 1 : 15515 99.95%
9 A2s AKJ72 flush 4 0.01% 1 : 15515 99.95%
10 QTs KQJT7 flush 4 0.01% 1 : 15515 99.94%
11 Q9s KQJ97 flush 4 0.01% 1 : 15515 99.94%
12 Q8s KQJ87 flush 4 0.01% 1 : 15515 99.93%
13 Q6s KQJ76 flush 4 0.01% 1 : 15515 99.92%
14 Q5s KQJ75 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQJ74 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQJ73 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQJ72 flush 4 0.01% 1 : 15515 99.90%
18 T9s KJT97 flush 4 0.01% 1 : 15515 99.89%
19 T8s KJT87 flush 4 0.01% 1 : 15515 99.88%
20 T6s KJT76 flush 4 0.01% 1 : 15515 99.88%
21 T5s KJT75 flush 4 0.01% 1 : 15515 99.87%
22 T4s KJT74 flush 4 0.01% 1 : 15515 99.86%
23 T3s KJT73 flush 4 0.01% 1 : 15515 99.86%
24 T2s KJT72 flush 4 0.01% 1 : 15515 99.85%
25 98s KJ987 flush 4 0.01% 1 : 15515 99.85%
26 96s KJ976 flush 4 0.01% 1 : 15515 99.84%
27 95s KJ975 flush 4 0.01% 1 : 15515 99.83%
28 94s KJ974 flush 4 0.01% 1 : 15515 99.83%
29 93s KJ973 flush 4 0.01% 1 : 15515 99.82%
30 92s KJ972 flush 4 0.01% 1 : 15515 99.81%
31 86s KJ876 flush 4 0.01% 1 : 15515 99.81%
32 85s KJ875 flush 4 0.01% 1 : 15515 99.80%
33 84s KJ874 flush 4 0.01% 1 : 15515 99.79%
34 83s KJ873 flush 4 0.01% 1 : 15515 99.79%
35 82s KJ872 flush 4 0.01% 1 : 15515 99.78%
36 65s KJ765 flush 4 0.01% 1 : 15515 99.77%
37 64s KJ764 flush 4 0.01% 1 : 15515 99.77%
38 63s KJ763 flush 4 0.01% 1 : 15515 99.76%
39 62s KJ762 flush 4 0.01% 1 : 15515 99.76%
40 54s KJ754 flush 4 0.01% 1 : 15515 99.75%
41 53s KJ753 flush 4 0.01% 1 : 15515 99.74%
42 52s KJ752 flush 4 0.01% 1 : 15515 99.74%
43 43s KJ743 flush 4 0.01% 1 : 15515 99.73%
44 42s KJ742 flush 4 0.01% 1 : 15515 99.72%
45 32s KJ732 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKJ7 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ KJJJ7 three of a kind 64 0.10% 1 : 969 99.61%
48 77 KJ777 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KJ KKJJ7 two pairs 144 0.23% 1 : 430 99.40%
50 K7 KKJ77 two pairs 144 0.23% 1 : 430 99.17%
51 J7 KJJ77 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKJ7 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKJ7 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQJ7 one pair 384 0.62% 1 : 161 97.47%
55 KT KKJT7 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKJ97 one pair 384 0.62% 1 : 161 96.23%
57 K8 KKJ87 one pair 384 0.62% 1 : 161 95.61%
58 K6 KKJ76 one pair 384 0.62% 1 : 161 94.99%
59 K5 KKJ75 one pair 384 0.62% 1 : 161 94.37%
60 K4 KKJ74 one pair 384 0.62% 1 : 161 93.75%
61 K3 KKJ73 one pair 384 0.62% 1 : 161 93.14%
62 K2 KKJ72 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQJ7 one pair 384 0.62% 1 : 161 91.90%
64 AJ AKJJ7 one pair 384 0.62% 1 : 161 91.28%
65 QJ KQJJ7 one pair 384 0.62% 1 : 161 90.66%
66 JT KJJT7 one pair 384 0.62% 1 : 161 90.04%
67 J9 KJJ97 one pair 384 0.62% 1 : 161 89.42%
68 J8 KJJ87 one pair 384 0.62% 1 : 161 88.81%
69 J6 KJJ76 one pair 384 0.62% 1 : 161 88.19%
70 J5 KJJ75 one pair 384 0.62% 1 : 161 87.57%
71 J4 KJJ74 one pair 384 0.62% 1 : 161 86.95%
72 J3 KJJ73 one pair 384 0.62% 1 : 161 86.33%
73 J2 KJJ72 one pair 384 0.62% 1 : 161 85.71%
74 TT KJTT7 one pair 384 0.62% 1 : 161 85.09%
75 99 KJ997 one pair 384 0.62% 1 : 161 84.47%
76 88 KJ887 one pair 384 0.62% 1 : 161 83.86%
77 A7 AKJ77 one pair 384 0.62% 1 : 161 83.24%
78 Q7 KQJ77 one pair 384 0.62% 1 : 161 82.62%
79 T7 KJT77 one pair 384 0.62% 1 : 161 82.00%
80 97 KJ977 one pair 384 0.62% 1 : 161 81.38%
81 87 KJ877 one pair 384 0.62% 1 : 161 80.76%
82 76 KJ776 one pair 384 0.62% 1 : 161 80.14%
83 75 KJ775 one pair 384 0.62% 1 : 161 79.52%
84 74 KJ774 one pair 384 0.62% 1 : 161 78.91%
85 73 KJ773 one pair 384 0.62% 1 : 161 78.29%
86 72 KJ772 one pair 384 0.62% 1 : 161 77.67%
87 66 KJ766 one pair 384 0.62% 1 : 161 77.05%
88 55 KJ755 one pair 384 0.62% 1 : 161 76.43%
89 44 KJ744 one pair 384 0.62% 1 : 161 75.81%
90 33 KJ733 one pair 384 0.62% 1 : 161 75.19%
91 22 KJ722 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQJ7 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AKJT7 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKJ97 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKJ87 high card 1,020 1.64% 1 : 59.8 69.03%
96 A6 AKJ76 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AKJ75 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AKJ74 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AKJ73 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AKJ72 high card 1,020 1.64% 1 : 59.8 60.81%
101 QT KQJT7 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 KQJ97 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 KQJ87 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 KQJ76 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 KQJ75 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQJ74 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQJ73 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQJ72 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 KJT97 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 KJT87 high card 1,020 1.64% 1 : 59.8 44.37%
111 T6 KJT76 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 KJT75 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 KJT74 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 KJT73 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 KJT72 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 KJ987 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 KJ976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 KJ975 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 KJ974 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 KJ973 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 KJ972 high card 1,020 1.64% 1 : 59.8 26.30%
122 86 KJ876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 KJ875 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 KJ874 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 KJ873 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 KJ872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 KJ765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 KJ764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 KJ763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 KJ762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 KJ754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 KJ753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 KJ752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 KJ743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 KJ742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KJ732 high card 1,020 1.64% 1 : 59.8 1.64%