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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 AQs AKQJ5 flush 4 0.01% 1 : 15515 100.00%
2 ATs AKJT5 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKJ95 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKJ85 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKJ75 flush 4 0.01% 1 : 15515 99.97%
6 A6s AKJ65 flush 4 0.01% 1 : 15515 99.97%
7 A4s AKJ54 flush 4 0.01% 1 : 15515 99.96%
8 A3s AKJ53 flush 4 0.01% 1 : 15515 99.95%
9 A2s AKJ52 flush 4 0.01% 1 : 15515 99.95%
10 QTs KQJT5 flush 4 0.01% 1 : 15515 99.94%
11 Q9s KQJ95 flush 4 0.01% 1 : 15515 99.94%
12 Q8s KQJ85 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQJ75 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQJ65 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQJ54 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQJ53 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQJ52 flush 4 0.01% 1 : 15515 99.90%
18 T9s KJT95 flush 4 0.01% 1 : 15515 99.89%
19 T8s KJT85 flush 4 0.01% 1 : 15515 99.88%
20 T7s KJT75 flush 4 0.01% 1 : 15515 99.88%
21 T6s KJT65 flush 4 0.01% 1 : 15515 99.87%
22 T4s KJT54 flush 4 0.01% 1 : 15515 99.86%
23 T3s KJT53 flush 4 0.01% 1 : 15515 99.86%
24 T2s KJT52 flush 4 0.01% 1 : 15515 99.85%
25 98s KJ985 flush 4 0.01% 1 : 15515 99.85%
26 97s KJ975 flush 4 0.01% 1 : 15515 99.84%
27 96s KJ965 flush 4 0.01% 1 : 15515 99.83%
28 94s KJ954 flush 4 0.01% 1 : 15515 99.83%
29 93s KJ953 flush 4 0.01% 1 : 15515 99.82%
30 92s KJ952 flush 4 0.01% 1 : 15515 99.81%
31 87s KJ875 flush 4 0.01% 1 : 15515 99.81%
32 86s KJ865 flush 4 0.01% 1 : 15515 99.80%
33 84s KJ854 flush 4 0.01% 1 : 15515 99.79%
34 83s KJ853 flush 4 0.01% 1 : 15515 99.79%
35 82s KJ852 flush 4 0.01% 1 : 15515 99.78%
36 76s KJ765 flush 4 0.01% 1 : 15515 99.77%
37 74s KJ754 flush 4 0.01% 1 : 15515 99.77%
38 73s KJ753 flush 4 0.01% 1 : 15515 99.76%
39 72s KJ752 flush 4 0.01% 1 : 15515 99.76%
40 64s KJ654 flush 4 0.01% 1 : 15515 99.75%
41 63s KJ653 flush 4 0.01% 1 : 15515 99.74%
42 62s KJ652 flush 4 0.01% 1 : 15515 99.74%
43 43s KJ543 flush 4 0.01% 1 : 15515 99.73%
44 42s KJ542 flush 4 0.01% 1 : 15515 99.72%
45 32s KJ532 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKJ5 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ KJJJ5 three of a kind 64 0.10% 1 : 969 99.61%
48 55 KJ555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KJ KKJJ5 two pairs 144 0.23% 1 : 430 99.40%
50 K5 KKJ55 two pairs 144 0.23% 1 : 430 99.17%
51 J5 KJJ55 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKJ5 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKJ5 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQJ5 one pair 384 0.62% 1 : 161 97.47%
55 KT KKJT5 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKJ95 one pair 384 0.62% 1 : 161 96.23%
57 K8 KKJ85 one pair 384 0.62% 1 : 161 95.61%
58 K7 KKJ75 one pair 384 0.62% 1 : 161 94.99%
59 K6 KKJ65 one pair 384 0.62% 1 : 161 94.37%
60 K4 KKJ54 one pair 384 0.62% 1 : 161 93.75%
61 K3 KKJ53 one pair 384 0.62% 1 : 161 93.14%
62 K2 KKJ52 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQJ5 one pair 384 0.62% 1 : 161 91.90%
64 AJ AKJJ5 one pair 384 0.62% 1 : 161 91.28%
65 QJ KQJJ5 one pair 384 0.62% 1 : 161 90.66%
66 JT KJJT5 one pair 384 0.62% 1 : 161 90.04%
67 J9 KJJ95 one pair 384 0.62% 1 : 161 89.42%
68 J8 KJJ85 one pair 384 0.62% 1 : 161 88.81%
69 J7 KJJ75 one pair 384 0.62% 1 : 161 88.19%
70 J6 KJJ65 one pair 384 0.62% 1 : 161 87.57%
71 J4 KJJ54 one pair 384 0.62% 1 : 161 86.95%
72 J3 KJJ53 one pair 384 0.62% 1 : 161 86.33%
73 J2 KJJ52 one pair 384 0.62% 1 : 161 85.71%
74 TT KJTT5 one pair 384 0.62% 1 : 161 85.09%
75 99 KJ995 one pair 384 0.62% 1 : 161 84.47%
76 88 KJ885 one pair 384 0.62% 1 : 161 83.86%
77 77 KJ775 one pair 384 0.62% 1 : 161 83.24%
78 66 KJ665 one pair 384 0.62% 1 : 161 82.62%
79 A5 AKJ55 one pair 384 0.62% 1 : 161 82.00%
80 Q5 KQJ55 one pair 384 0.62% 1 : 161 81.38%
81 T5 KJT55 one pair 384 0.62% 1 : 161 80.76%
82 95 KJ955 one pair 384 0.62% 1 : 161 80.14%
83 85 KJ855 one pair 384 0.62% 1 : 161 79.52%
84 75 KJ755 one pair 384 0.62% 1 : 161 78.91%
85 65 KJ655 one pair 384 0.62% 1 : 161 78.29%
86 54 KJ554 one pair 384 0.62% 1 : 161 77.67%
87 53 KJ553 one pair 384 0.62% 1 : 161 77.05%
88 52 KJ552 one pair 384 0.62% 1 : 161 76.43%
89 44 KJ544 one pair 384 0.62% 1 : 161 75.81%
90 33 KJ533 one pair 384 0.62% 1 : 161 75.19%
91 22 KJ522 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQJ5 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AKJT5 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKJ95 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKJ85 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKJ75 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AKJ65 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AKJ54 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AKJ53 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AKJ52 high card 1,020 1.64% 1 : 59.8 60.81%
101 QT KQJT5 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 KQJ95 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 KQJ85 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQJ75 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQJ65 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQJ54 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQJ53 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQJ52 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 KJT95 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 KJT85 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 KJT75 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 KJT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 KJT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 KJT53 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 KJT52 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 KJ985 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 KJ975 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 KJ965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 KJ954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 KJ953 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 KJ952 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 KJ875 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 KJ865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 KJ854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 KJ853 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 KJ852 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 KJ765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 KJ754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 KJ753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 KJ752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 KJ654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 KJ653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 KJ652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 KJ543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 KJ542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KJ532 high card 1,020 1.64% 1 : 59.8 1.64%