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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 QJs AKQJ5 flush 4 0.01% 1 : 15515 100.00%
2 QTs AKQT5 flush 4 0.01% 1 : 15515 99.99%
3 Q9s AKQ95 flush 4 0.01% 1 : 15515 99.99%
4 Q8s AKQ85 flush 4 0.01% 1 : 15515 99.98%
5 Q7s AKQ75 flush 4 0.01% 1 : 15515 99.97%
6 Q6s AKQ65 flush 4 0.01% 1 : 15515 99.97%
7 Q4s AKQ54 flush 4 0.01% 1 : 15515 99.96%
8 Q3s AKQ53 flush 4 0.01% 1 : 15515 99.95%
9 Q2s AKQ52 flush 4 0.01% 1 : 15515 99.95%
10 JTs AKJT5 flush 4 0.01% 1 : 15515 99.94%
11 J9s AKJ95 flush 4 0.01% 1 : 15515 99.94%
12 J8s AKJ85 flush 4 0.01% 1 : 15515 99.93%
13 J7s AKJ75 flush 4 0.01% 1 : 15515 99.92%
14 J6s AKJ65 flush 4 0.01% 1 : 15515 99.92%
15 J4s AKJ54 flush 4 0.01% 1 : 15515 99.91%
16 J3s AKJ53 flush 4 0.01% 1 : 15515 99.90%
17 J2s AKJ52 flush 4 0.01% 1 : 15515 99.90%
18 T9s AKT95 flush 4 0.01% 1 : 15515 99.89%
19 T8s AKT85 flush 4 0.01% 1 : 15515 99.88%
20 T7s AKT75 flush 4 0.01% 1 : 15515 99.88%
21 T6s AKT65 flush 4 0.01% 1 : 15515 99.87%
22 T4s AKT54 flush 4 0.01% 1 : 15515 99.86%
23 T3s AKT53 flush 4 0.01% 1 : 15515 99.86%
24 T2s AKT52 flush 4 0.01% 1 : 15515 99.85%
25 98s AK985 flush 4 0.01% 1 : 15515 99.85%
26 97s AK975 flush 4 0.01% 1 : 15515 99.84%
27 96s AK965 flush 4 0.01% 1 : 15515 99.83%
28 94s AK954 flush 4 0.01% 1 : 15515 99.83%
29 93s AK953 flush 4 0.01% 1 : 15515 99.82%
30 92s AK952 flush 4 0.01% 1 : 15515 99.81%
31 87s AK875 flush 4 0.01% 1 : 15515 99.81%
32 86s AK865 flush 4 0.01% 1 : 15515 99.80%
33 84s AK854 flush 4 0.01% 1 : 15515 99.79%
34 83s AK853 flush 4 0.01% 1 : 15515 99.79%
35 82s AK852 flush 4 0.01% 1 : 15515 99.78%
36 76s AK765 flush 4 0.01% 1 : 15515 99.77%
37 74s AK754 flush 4 0.01% 1 : 15515 99.77%
38 73s AK753 flush 4 0.01% 1 : 15515 99.76%
39 72s AK752 flush 4 0.01% 1 : 15515 99.76%
40 64s AK654 flush 4 0.01% 1 : 15515 99.75%
41 63s AK653 flush 4 0.01% 1 : 15515 99.74%
42 62s AK652 flush 4 0.01% 1 : 15515 99.74%
43 43s AK543 flush 4 0.01% 1 : 15515 99.73%
44 42s AK542 flush 4 0.01% 1 : 15515 99.72%
45 32s AK532 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAK5 three of a kind 64 0.10% 1 : 969 99.71%
47 KK AKKK5 three of a kind 64 0.10% 1 : 969 99.61%
48 55 AK555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AK AAKK5 two pairs 144 0.23% 1 : 430 99.40%
50 A5 AAK55 two pairs 144 0.23% 1 : 430 99.17%
51 K5 AKK55 two pairs 144 0.23% 1 : 430 98.94%
 
52 AQ AAKQ5 one pair 384 0.62% 1 : 161 98.70%
53 AJ AAKJ5 one pair 384 0.62% 1 : 161 98.09%
54 AT AAKT5 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAK95 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAK85 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAK75 one pair 384 0.62% 1 : 161 95.61%
58 A6 AAK65 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAK54 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAK53 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAK52 one pair 384 0.62% 1 : 161 93.14%
62 KQ AKKQ5 one pair 384 0.62% 1 : 161 92.52%
63 KJ AKKJ5 one pair 384 0.62% 1 : 161 91.90%
64 KT AKKT5 one pair 384 0.62% 1 : 161 91.28%
65 K9 AKK95 one pair 384 0.62% 1 : 161 90.66%
66 K8 AKK85 one pair 384 0.62% 1 : 161 90.04%
67 K7 AKK75 one pair 384 0.62% 1 : 161 89.42%
68 K6 AKK65 one pair 384 0.62% 1 : 161 88.81%
69 K4 AKK54 one pair 384 0.62% 1 : 161 88.19%
70 K3 AKK53 one pair 384 0.62% 1 : 161 87.57%
71 K2 AKK52 one pair 384 0.62% 1 : 161 86.95%
72 QQ AKQQ5 one pair 384 0.62% 1 : 161 86.33%
73 JJ AKJJ5 one pair 384 0.62% 1 : 161 85.71%
74 TT AKTT5 one pair 384 0.62% 1 : 161 85.09%
75 99 AK995 one pair 384 0.62% 1 : 161 84.47%
76 88 AK885 one pair 384 0.62% 1 : 161 83.86%
77 77 AK775 one pair 384 0.62% 1 : 161 83.24%
78 66 AK665 one pair 384 0.62% 1 : 161 82.62%
79 Q5 AKQ55 one pair 384 0.62% 1 : 161 82.00%
80 J5 AKJ55 one pair 384 0.62% 1 : 161 81.38%
81 T5 AKT55 one pair 384 0.62% 1 : 161 80.76%
82 95 AK955 one pair 384 0.62% 1 : 161 80.14%
83 85 AK855 one pair 384 0.62% 1 : 161 79.52%
84 75 AK755 one pair 384 0.62% 1 : 161 78.91%
85 65 AK655 one pair 384 0.62% 1 : 161 78.29%
86 54 AK554 one pair 384 0.62% 1 : 161 77.67%
87 53 AK553 one pair 384 0.62% 1 : 161 77.05%
88 52 AK552 one pair 384 0.62% 1 : 161 76.43%
89 44 AK544 one pair 384 0.62% 1 : 161 75.81%
90 33 AK533 one pair 384 0.62% 1 : 161 75.19%
91 22 AK522 one pair 384 0.62% 1 : 161 74.57%
 
92 QJ AKQJ5 high card 1,020 1.64% 1 : 59.8 73.96%
93 QT AKQT5 high card 1,020 1.64% 1 : 59.8 72.31%
94 Q9 AKQ95 high card 1,020 1.64% 1 : 59.8 70.67%
95 Q8 AKQ85 high card 1,020 1.64% 1 : 59.8 69.03%
96 Q7 AKQ75 high card 1,020 1.64% 1 : 59.8 67.38%
97 Q6 AKQ65 high card 1,020 1.64% 1 : 59.8 65.74%
98 Q4 AKQ54 high card 1,020 1.64% 1 : 59.8 64.10%
99 Q3 AKQ53 high card 1,020 1.64% 1 : 59.8 62.45%
100 Q2 AKQ52 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT AKJT5 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 AKJ95 high card 1,020 1.64% 1 : 59.8 57.52%
103 J8 AKJ85 high card 1,020 1.64% 1 : 59.8 55.88%
104 J7 AKJ75 high card 1,020 1.64% 1 : 59.8 54.23%
105 J6 AKJ65 high card 1,020 1.64% 1 : 59.8 52.59%
106 J4 AKJ54 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 AKJ53 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 AKJ52 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AKT95 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 AKT85 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 AKT75 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 AKT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 AKT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 AKT53 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AKT52 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AK985 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AK975 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 AK965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 AK954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AK953 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AK952 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AK875 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 AK865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 AK854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 AK853 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AK852 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 AK765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 AK754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 AK753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 AK752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 AK654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 AK653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 AK652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AK543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AK542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AK532 high card 1,020 1.64% 1 : 59.8 1.64%