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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 AKQ85 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ85 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT85 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK985 flush 4 0.01% 1 : 15515 99.98%
5 A7s AK875 flush 4 0.01% 1 : 15515 99.97%
6 A6s AK865 flush 4 0.01% 1 : 15515 99.97%
7 A4s AK854 flush 4 0.01% 1 : 15515 99.96%
8 A3s AK853 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK852 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ85 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT85 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ985 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQ875 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQ865 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQ854 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQ853 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ852 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT85 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ985 flush 4 0.01% 1 : 15515 99.88%
20 J7s KJ875 flush 4 0.01% 1 : 15515 99.88%
21 J6s KJ865 flush 4 0.01% 1 : 15515 99.87%
22 J4s KJ854 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJ853 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ852 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT985 flush 4 0.01% 1 : 15515 99.85%
26 T7s KT875 flush 4 0.01% 1 : 15515 99.84%
27 T6s KT865 flush 4 0.01% 1 : 15515 99.83%
28 T4s KT854 flush 4 0.01% 1 : 15515 99.83%
29 T3s KT853 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT852 flush 4 0.01% 1 : 15515 99.81%
31 97s K9875 flush 4 0.01% 1 : 15515 99.81%
32 96s K9865 flush 4 0.01% 1 : 15515 99.80%
33 94s K9854 flush 4 0.01% 1 : 15515 99.79%
34 93s K9853 flush 4 0.01% 1 : 15515 99.79%
35 92s K9852 flush 4 0.01% 1 : 15515 99.78%
36 76s K8765 flush 4 0.01% 1 : 15515 99.77%
37 74s K8754 flush 4 0.01% 1 : 15515 99.77%
38 73s K8753 flush 4 0.01% 1 : 15515 99.76%
39 72s K8752 flush 4 0.01% 1 : 15515 99.76%
40 64s K8654 flush 4 0.01% 1 : 15515 99.75%
41 63s K8653 flush 4 0.01% 1 : 15515 99.74%
42 62s K8652 flush 4 0.01% 1 : 15515 99.74%
43 43s K8543 flush 4 0.01% 1 : 15515 99.73%
44 42s K8542 flush 4 0.01% 1 : 15515 99.72%
45 32s K8532 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK85 three of a kind 64 0.10% 1 : 969 99.71%
47 88 K8885 three of a kind 64 0.10% 1 : 969 99.61%
48 55 K8555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K8 KK885 two pairs 144 0.23% 1 : 430 99.40%
50 K5 KK855 two pairs 144 0.23% 1 : 430 99.17%
51 85 K8855 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK85 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK85 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ85 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ85 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT85 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK985 one pair 384 0.62% 1 : 161 95.61%
58 K7 KK875 one pair 384 0.62% 1 : 161 94.99%
59 K6 KK865 one pair 384 0.62% 1 : 161 94.37%
60 K4 KK854 one pair 384 0.62% 1 : 161 93.75%
61 K3 KK853 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK852 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ85 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ85 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT85 one pair 384 0.62% 1 : 161 90.66%
66 99 K9985 one pair 384 0.62% 1 : 161 90.04%
67 A8 AK885 one pair 384 0.62% 1 : 161 89.42%
68 Q8 KQ885 one pair 384 0.62% 1 : 161 88.81%
69 J8 KJ885 one pair 384 0.62% 1 : 161 88.19%
70 T8 KT885 one pair 384 0.62% 1 : 161 87.57%
71 98 K9885 one pair 384 0.62% 1 : 161 86.95%
72 87 K8875 one pair 384 0.62% 1 : 161 86.33%
73 86 K8865 one pair 384 0.62% 1 : 161 85.71%
74 84 K8854 one pair 384 0.62% 1 : 161 85.09%
75 83 K8853 one pair 384 0.62% 1 : 161 84.47%
76 82 K8852 one pair 384 0.62% 1 : 161 83.86%
77 77 K8775 one pair 384 0.62% 1 : 161 83.24%
78 66 K8665 one pair 384 0.62% 1 : 161 82.62%
79 A5 AK855 one pair 384 0.62% 1 : 161 82.00%
80 Q5 KQ855 one pair 384 0.62% 1 : 161 81.38%
81 J5 KJ855 one pair 384 0.62% 1 : 161 80.76%
82 T5 KT855 one pair 384 0.62% 1 : 161 80.14%
83 95 K9855 one pair 384 0.62% 1 : 161 79.52%
84 75 K8755 one pair 384 0.62% 1 : 161 78.91%
85 65 K8655 one pair 384 0.62% 1 : 161 78.29%
86 54 K8554 one pair 384 0.62% 1 : 161 77.67%
87 53 K8553 one pair 384 0.62% 1 : 161 77.05%
88 52 K8552 one pair 384 0.62% 1 : 161 76.43%
89 44 K8544 one pair 384 0.62% 1 : 161 75.81%
90 33 K8533 one pair 384 0.62% 1 : 161 75.19%
91 22 K8522 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ85 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ85 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT85 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK985 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AK875 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AK865 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AK854 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AK853 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK852 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ85 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT85 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ985 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQ875 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQ865 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQ854 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQ853 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ852 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT85 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ985 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 KJ875 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 KJ865 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 KJ854 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJ853 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ852 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT985 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 KT875 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 KT865 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 KT854 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 KT853 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT852 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 K9875 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 K9865 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 K9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 K9853 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 K9852 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 K8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 K8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 K8753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 K8752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 K8654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 K8653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 K8652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 K8543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 K8542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 K8532 high card 1,020 1.64% 1 : 59.8 1.64%