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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 AKQJ7 flush 4 0.01% 1 : 15515 100.00%
2 KTs AKJT7 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKJ97 flush 4 0.01% 1 : 15515 99.99%
4 K8s AKJ87 flush 4 0.01% 1 : 15515 99.98%
5 K6s AKJ76 flush 4 0.01% 1 : 15515 99.97%
6 K5s AKJ75 flush 4 0.01% 1 : 15515 99.97%
7 K4s AKJ74 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKJ73 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKJ72 flush 4 0.01% 1 : 15515 99.95%
10 QTs AQJT7 flush 4 0.01% 1 : 15515 99.94%
11 Q9s AQJ97 flush 4 0.01% 1 : 15515 99.94%
12 Q8s AQJ87 flush 4 0.01% 1 : 15515 99.93%
13 Q6s AQJ76 flush 4 0.01% 1 : 15515 99.92%
14 Q5s AQJ75 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQJ74 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQJ73 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQJ72 flush 4 0.01% 1 : 15515 99.90%
18 T9s AJT97 flush 4 0.01% 1 : 15515 99.89%
19 T8s AJT87 flush 4 0.01% 1 : 15515 99.88%
20 T6s AJT76 flush 4 0.01% 1 : 15515 99.88%
21 T5s AJT75 flush 4 0.01% 1 : 15515 99.87%
22 T4s AJT74 flush 4 0.01% 1 : 15515 99.86%
23 T3s AJT73 flush 4 0.01% 1 : 15515 99.86%
24 T2s AJT72 flush 4 0.01% 1 : 15515 99.85%
25 98s AJ987 flush 4 0.01% 1 : 15515 99.85%
26 96s AJ976 flush 4 0.01% 1 : 15515 99.84%
27 95s AJ975 flush 4 0.01% 1 : 15515 99.83%
28 94s AJ974 flush 4 0.01% 1 : 15515 99.83%
29 93s AJ973 flush 4 0.01% 1 : 15515 99.82%
30 92s AJ972 flush 4 0.01% 1 : 15515 99.81%
31 86s AJ876 flush 4 0.01% 1 : 15515 99.81%
32 85s AJ875 flush 4 0.01% 1 : 15515 99.80%
33 84s AJ874 flush 4 0.01% 1 : 15515 99.79%
34 83s AJ873 flush 4 0.01% 1 : 15515 99.79%
35 82s AJ872 flush 4 0.01% 1 : 15515 99.78%
36 65s AJ765 flush 4 0.01% 1 : 15515 99.77%
37 64s AJ764 flush 4 0.01% 1 : 15515 99.77%
38 63s AJ763 flush 4 0.01% 1 : 15515 99.76%
39 62s AJ762 flush 4 0.01% 1 : 15515 99.76%
40 54s AJ754 flush 4 0.01% 1 : 15515 99.75%
41 53s AJ753 flush 4 0.01% 1 : 15515 99.74%
42 52s AJ752 flush 4 0.01% 1 : 15515 99.74%
43 43s AJ743 flush 4 0.01% 1 : 15515 99.73%
44 42s AJ742 flush 4 0.01% 1 : 15515 99.72%
45 32s AJ732 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAJ7 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ AJJJ7 three of a kind 64 0.10% 1 : 969 99.61%
48 77 AJ777 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AJ AAJJ7 two pairs 144 0.23% 1 : 430 99.40%
50 A7 AAJ77 two pairs 144 0.23% 1 : 430 99.17%
51 J7 AJJ77 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKJ7 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQJ7 one pair 384 0.62% 1 : 161 98.09%
54 AT AAJT7 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAJ97 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAJ87 one pair 384 0.62% 1 : 161 96.23%
57 A6 AAJ76 one pair 384 0.62% 1 : 161 95.61%
58 A5 AAJ75 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAJ74 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAJ73 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAJ72 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKJ7 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQJ7 one pair 384 0.62% 1 : 161 91.90%
64 KJ AKJJ7 one pair 384 0.62% 1 : 161 91.28%
65 QJ AQJJ7 one pair 384 0.62% 1 : 161 90.66%
66 JT AJJT7 one pair 384 0.62% 1 : 161 90.04%
67 J9 AJJ97 one pair 384 0.62% 1 : 161 89.42%
68 J8 AJJ87 one pair 384 0.62% 1 : 161 88.81%
69 J6 AJJ76 one pair 384 0.62% 1 : 161 88.19%
70 J5 AJJ75 one pair 384 0.62% 1 : 161 87.57%
71 J4 AJJ74 one pair 384 0.62% 1 : 161 86.95%
72 J3 AJJ73 one pair 384 0.62% 1 : 161 86.33%
73 J2 AJJ72 one pair 384 0.62% 1 : 161 85.71%
74 TT AJTT7 one pair 384 0.62% 1 : 161 85.09%
75 99 AJ997 one pair 384 0.62% 1 : 161 84.47%
76 88 AJ887 one pair 384 0.62% 1 : 161 83.86%
77 K7 AKJ77 one pair 384 0.62% 1 : 161 83.24%
78 Q7 AQJ77 one pair 384 0.62% 1 : 161 82.62%
79 T7 AJT77 one pair 384 0.62% 1 : 161 82.00%
80 97 AJ977 one pair 384 0.62% 1 : 161 81.38%
81 87 AJ877 one pair 384 0.62% 1 : 161 80.76%
82 76 AJ776 one pair 384 0.62% 1 : 161 80.14%
83 75 AJ775 one pair 384 0.62% 1 : 161 79.52%
84 74 AJ774 one pair 384 0.62% 1 : 161 78.91%
85 73 AJ773 one pair 384 0.62% 1 : 161 78.29%
86 72 AJ772 one pair 384 0.62% 1 : 161 77.67%
87 66 AJ766 one pair 384 0.62% 1 : 161 77.05%
88 55 AJ755 one pair 384 0.62% 1 : 161 76.43%
89 44 AJ744 one pair 384 0.62% 1 : 161 75.81%
90 33 AJ733 one pair 384 0.62% 1 : 161 75.19%
91 22 AJ722 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQJ7 high card 1,020 1.64% 1 : 59.8 73.96%
93 KT AKJT7 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKJ97 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AKJ87 high card 1,020 1.64% 1 : 59.8 69.03%
96 K6 AKJ76 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AKJ75 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AKJ74 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKJ73 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKJ72 high card 1,020 1.64% 1 : 59.8 60.81%
101 QT AQJT7 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 AQJ97 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 AQJ87 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 AQJ76 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 AQJ75 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQJ74 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQJ73 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQJ72 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AJT97 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 AJT87 high card 1,020 1.64% 1 : 59.8 44.37%
111 T6 AJT76 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 AJT75 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 AJT74 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 AJT73 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AJT72 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AJ987 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 AJ976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 AJ975 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 AJ974 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AJ973 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AJ972 high card 1,020 1.64% 1 : 59.8 26.30%
122 86 AJ876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 AJ875 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 AJ874 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 AJ873 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AJ872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 AJ765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 AJ764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 AJ763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 AJ762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AJ754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AJ753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AJ752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AJ743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AJ742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AJ732 high card 1,020 1.64% 1 : 59.8 1.64%