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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 AKQ85 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ85 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT85 flush 4 0.01% 1 : 15515 99.99%
4 K9s AK985 flush 4 0.01% 1 : 15515 99.98%
5 K7s AK875 flush 4 0.01% 1 : 15515 99.97%
6 K6s AK865 flush 4 0.01% 1 : 15515 99.97%
7 K4s AK854 flush 4 0.01% 1 : 15515 99.96%
8 K3s AK853 flush 4 0.01% 1 : 15515 99.95%
9 K2s AK852 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ85 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT85 flush 4 0.01% 1 : 15515 99.94%
12 Q9s AQ985 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQ875 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQ865 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQ854 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQ853 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQ852 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT85 flush 4 0.01% 1 : 15515 99.89%
19 J9s AJ985 flush 4 0.01% 1 : 15515 99.88%
20 J7s AJ875 flush 4 0.01% 1 : 15515 99.88%
21 J6s AJ865 flush 4 0.01% 1 : 15515 99.87%
22 J4s AJ854 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJ853 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJ852 flush 4 0.01% 1 : 15515 99.85%
25 T9s AT985 flush 4 0.01% 1 : 15515 99.85%
26 T7s AT875 flush 4 0.01% 1 : 15515 99.84%
27 T6s AT865 flush 4 0.01% 1 : 15515 99.83%
28 T4s AT854 flush 4 0.01% 1 : 15515 99.83%
29 T3s AT853 flush 4 0.01% 1 : 15515 99.82%
30 T2s AT852 flush 4 0.01% 1 : 15515 99.81%
31 97s A9875 flush 4 0.01% 1 : 15515 99.81%
32 96s A9865 flush 4 0.01% 1 : 15515 99.80%
33 94s A9854 flush 4 0.01% 1 : 15515 99.79%
34 93s A9853 flush 4 0.01% 1 : 15515 99.79%
35 92s A9852 flush 4 0.01% 1 : 15515 99.78%
36 76s A8765 flush 4 0.01% 1 : 15515 99.77%
37 74s A8754 flush 4 0.01% 1 : 15515 99.77%
38 73s A8753 flush 4 0.01% 1 : 15515 99.76%
39 72s A8752 flush 4 0.01% 1 : 15515 99.76%
40 64s A8654 flush 4 0.01% 1 : 15515 99.75%
41 63s A8653 flush 4 0.01% 1 : 15515 99.74%
42 62s A8652 flush 4 0.01% 1 : 15515 99.74%
43 43s A8543 flush 4 0.01% 1 : 15515 99.73%
44 42s A8542 flush 4 0.01% 1 : 15515 99.72%
45 32s A8532 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA85 three of a kind 64 0.10% 1 : 969 99.71%
47 88 A8885 three of a kind 64 0.10% 1 : 969 99.61%
48 55 A8555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A8 AA885 two pairs 144 0.23% 1 : 430 99.40%
50 A5 AA855 two pairs 144 0.23% 1 : 430 99.17%
51 85 A8855 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK85 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ85 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ85 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT85 one pair 384 0.62% 1 : 161 96.85%
56 A9 AA985 one pair 384 0.62% 1 : 161 96.23%
57 A7 AA875 one pair 384 0.62% 1 : 161 95.61%
58 A6 AA865 one pair 384 0.62% 1 : 161 94.99%
59 A4 AA854 one pair 384 0.62% 1 : 161 94.37%
60 A3 AA853 one pair 384 0.62% 1 : 161 93.75%
61 A2 AA852 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK85 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ85 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ85 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT85 one pair 384 0.62% 1 : 161 90.66%
66 99 A9985 one pair 384 0.62% 1 : 161 90.04%
67 K8 AK885 one pair 384 0.62% 1 : 161 89.42%
68 Q8 AQ885 one pair 384 0.62% 1 : 161 88.81%
69 J8 AJ885 one pair 384 0.62% 1 : 161 88.19%
70 T8 AT885 one pair 384 0.62% 1 : 161 87.57%
71 98 A9885 one pair 384 0.62% 1 : 161 86.95%
72 87 A8875 one pair 384 0.62% 1 : 161 86.33%
73 86 A8865 one pair 384 0.62% 1 : 161 85.71%
74 84 A8854 one pair 384 0.62% 1 : 161 85.09%
75 83 A8853 one pair 384 0.62% 1 : 161 84.47%
76 82 A8852 one pair 384 0.62% 1 : 161 83.86%
77 77 A8775 one pair 384 0.62% 1 : 161 83.24%
78 66 A8665 one pair 384 0.62% 1 : 161 82.62%
79 K5 AK855 one pair 384 0.62% 1 : 161 82.00%
80 Q5 AQ855 one pair 384 0.62% 1 : 161 81.38%
81 J5 AJ855 one pair 384 0.62% 1 : 161 80.76%
82 T5 AT855 one pair 384 0.62% 1 : 161 80.14%
83 95 A9855 one pair 384 0.62% 1 : 161 79.52%
84 75 A8755 one pair 384 0.62% 1 : 161 78.91%
85 65 A8655 one pair 384 0.62% 1 : 161 78.29%
86 54 A8554 one pair 384 0.62% 1 : 161 77.67%
87 53 A8553 one pair 384 0.62% 1 : 161 77.05%
88 52 A8552 one pair 384 0.62% 1 : 161 76.43%
89 44 A8544 one pair 384 0.62% 1 : 161 75.81%
90 33 A8533 one pair 384 0.62% 1 : 161 75.19%
91 22 A8522 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ85 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ85 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT85 high card 1,020 1.64% 1 : 59.8 70.67%
95 K9 AK985 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AK875 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AK865 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AK854 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AK853 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AK852 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ85 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT85 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 AQ985 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQ875 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQ865 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQ854 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQ853 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQ852 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT85 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 AJ985 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 AJ875 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 AJ865 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 AJ854 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJ853 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJ852 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 AT985 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 AT875 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 AT865 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 AT854 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 AT853 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 AT852 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 A9875 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 A9865 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 A9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 A9853 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 A9852 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 A8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 A8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 A8753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 A8752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 A8654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 A8653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 A8652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 A8543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 A8542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 A8532 high card 1,020 1.64% 1 : 59.8 1.64%