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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 AJs AKQJ5 flush 4 0.01% 1 : 15515 100.00%
2 ATs AKQT5 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKQ95 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKQ85 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKQ75 flush 4 0.01% 1 : 15515 99.97%
6 A6s AKQ65 flush 4 0.01% 1 : 15515 99.97%
7 A4s AKQ54 flush 4 0.01% 1 : 15515 99.96%
8 A3s AKQ53 flush 4 0.01% 1 : 15515 99.95%
9 A2s AKQ52 flush 4 0.01% 1 : 15515 99.95%
10 JTs KQJT5 flush 4 0.01% 1 : 15515 99.94%
11 J9s KQJ95 flush 4 0.01% 1 : 15515 99.94%
12 J8s KQJ85 flush 4 0.01% 1 : 15515 99.93%
13 J7s KQJ75 flush 4 0.01% 1 : 15515 99.92%
14 J6s KQJ65 flush 4 0.01% 1 : 15515 99.92%
15 J4s KQJ54 flush 4 0.01% 1 : 15515 99.91%
16 J3s KQJ53 flush 4 0.01% 1 : 15515 99.90%
17 J2s KQJ52 flush 4 0.01% 1 : 15515 99.90%
18 T9s KQT95 flush 4 0.01% 1 : 15515 99.89%
19 T8s KQT85 flush 4 0.01% 1 : 15515 99.88%
20 T7s KQT75 flush 4 0.01% 1 : 15515 99.88%
21 T6s KQT65 flush 4 0.01% 1 : 15515 99.87%
22 T4s KQT54 flush 4 0.01% 1 : 15515 99.86%
23 T3s KQT53 flush 4 0.01% 1 : 15515 99.86%
24 T2s KQT52 flush 4 0.01% 1 : 15515 99.85%
25 98s KQ985 flush 4 0.01% 1 : 15515 99.85%
26 97s KQ975 flush 4 0.01% 1 : 15515 99.84%
27 96s KQ965 flush 4 0.01% 1 : 15515 99.83%
28 94s KQ954 flush 4 0.01% 1 : 15515 99.83%
29 93s KQ953 flush 4 0.01% 1 : 15515 99.82%
30 92s KQ952 flush 4 0.01% 1 : 15515 99.81%
31 87s KQ875 flush 4 0.01% 1 : 15515 99.81%
32 86s KQ865 flush 4 0.01% 1 : 15515 99.80%
33 84s KQ854 flush 4 0.01% 1 : 15515 99.79%
34 83s KQ853 flush 4 0.01% 1 : 15515 99.79%
35 82s KQ852 flush 4 0.01% 1 : 15515 99.78%
36 76s KQ765 flush 4 0.01% 1 : 15515 99.77%
37 74s KQ754 flush 4 0.01% 1 : 15515 99.77%
38 73s KQ753 flush 4 0.01% 1 : 15515 99.76%
39 72s KQ752 flush 4 0.01% 1 : 15515 99.76%
40 64s KQ654 flush 4 0.01% 1 : 15515 99.75%
41 63s KQ653 flush 4 0.01% 1 : 15515 99.74%
42 62s KQ652 flush 4 0.01% 1 : 15515 99.74%
43 43s KQ543 flush 4 0.01% 1 : 15515 99.73%
44 42s KQ542 flush 4 0.01% 1 : 15515 99.72%
45 32s KQ532 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKQ5 three of a kind 64 0.10% 1 : 969 99.71%
47 QQ KQQQ5 three of a kind 64 0.10% 1 : 969 99.61%
48 55 KQ555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KQ KKQQ5 two pairs 144 0.23% 1 : 430 99.40%
50 K5 KKQ55 two pairs 144 0.23% 1 : 430 99.17%
51 Q5 KQQ55 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKQ5 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKQ5 one pair 384 0.62% 1 : 161 98.09%
54 KJ KKQJ5 one pair 384 0.62% 1 : 161 97.47%
55 KT KKQT5 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKQ95 one pair 384 0.62% 1 : 161 96.23%
57 K8 KKQ85 one pair 384 0.62% 1 : 161 95.61%
58 K7 KKQ75 one pair 384 0.62% 1 : 161 94.99%
59 K6 KKQ65 one pair 384 0.62% 1 : 161 94.37%
60 K4 KKQ54 one pair 384 0.62% 1 : 161 93.75%
61 K3 KKQ53 one pair 384 0.62% 1 : 161 93.14%
62 K2 KKQ52 one pair 384 0.62% 1 : 161 92.52%
63 AQ AKQQ5 one pair 384 0.62% 1 : 161 91.90%
64 QJ KQQJ5 one pair 384 0.62% 1 : 161 91.28%
65 QT KQQT5 one pair 384 0.62% 1 : 161 90.66%
66 Q9 KQQ95 one pair 384 0.62% 1 : 161 90.04%
67 Q8 KQQ85 one pair 384 0.62% 1 : 161 89.42%
68 Q7 KQQ75 one pair 384 0.62% 1 : 161 88.81%
69 Q6 KQQ65 one pair 384 0.62% 1 : 161 88.19%
70 Q4 KQQ54 one pair 384 0.62% 1 : 161 87.57%
71 Q3 KQQ53 one pair 384 0.62% 1 : 161 86.95%
72 Q2 KQQ52 one pair 384 0.62% 1 : 161 86.33%
73 JJ KQJJ5 one pair 384 0.62% 1 : 161 85.71%
74 TT KQTT5 one pair 384 0.62% 1 : 161 85.09%
75 99 KQ995 one pair 384 0.62% 1 : 161 84.47%
76 88 KQ885 one pair 384 0.62% 1 : 161 83.86%
77 77 KQ775 one pair 384 0.62% 1 : 161 83.24%
78 66 KQ665 one pair 384 0.62% 1 : 161 82.62%
79 A5 AKQ55 one pair 384 0.62% 1 : 161 82.00%
80 J5 KQJ55 one pair 384 0.62% 1 : 161 81.38%
81 T5 KQT55 one pair 384 0.62% 1 : 161 80.76%
82 95 KQ955 one pair 384 0.62% 1 : 161 80.14%
83 85 KQ855 one pair 384 0.62% 1 : 161 79.52%
84 75 KQ755 one pair 384 0.62% 1 : 161 78.91%
85 65 KQ655 one pair 384 0.62% 1 : 161 78.29%
86 54 KQ554 one pair 384 0.62% 1 : 161 77.67%
87 53 KQ553 one pair 384 0.62% 1 : 161 77.05%
88 52 KQ552 one pair 384 0.62% 1 : 161 76.43%
89 44 KQ544 one pair 384 0.62% 1 : 161 75.81%
90 33 KQ533 one pair 384 0.62% 1 : 161 75.19%
91 22 KQ522 one pair 384 0.62% 1 : 161 74.57%
 
92 AJ AKQJ5 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AKQT5 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKQ95 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKQ85 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKQ75 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AKQ65 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AKQ54 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AKQ53 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AKQ52 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT KQJT5 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 KQJ95 high card 1,020 1.64% 1 : 59.8 57.52%
103 J8 KQJ85 high card 1,020 1.64% 1 : 59.8 55.88%
104 J7 KQJ75 high card 1,020 1.64% 1 : 59.8 54.23%
105 J6 KQJ65 high card 1,020 1.64% 1 : 59.8 52.59%
106 J4 KQJ54 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 KQJ53 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 KQJ52 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 KQT95 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 KQT85 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 KQT75 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 KQT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 KQT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 KQT53 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 KQT52 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 KQ985 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 KQ975 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 KQ965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 KQ954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 KQ953 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 KQ952 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 KQ875 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 KQ865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 KQ854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 KQ853 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 KQ852 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 KQ765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 KQ754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 KQ753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 KQ752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 KQ654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 KQ653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 KQ652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 KQ543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 KQ542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KQ532 high card 1,020 1.64% 1 : 59.8 1.64%