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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 AKQ97 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ97 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT97 flush 4 0.01% 1 : 15515 99.99%
4 A8s AK987 flush 4 0.01% 1 : 15515 99.98%
5 A6s AK976 flush 4 0.01% 1 : 15515 99.97%
6 A5s AK975 flush 4 0.01% 1 : 15515 99.97%
7 A4s AK974 flush 4 0.01% 1 : 15515 99.96%
8 A3s AK973 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK972 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ97 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT97 flush 4 0.01% 1 : 15515 99.94%
12 Q8s KQ987 flush 4 0.01% 1 : 15515 99.93%
13 Q6s KQ976 flush 4 0.01% 1 : 15515 99.92%
14 Q5s KQ975 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQ974 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQ973 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ972 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT97 flush 4 0.01% 1 : 15515 99.89%
19 J8s KJ987 flush 4 0.01% 1 : 15515 99.88%
20 J6s KJ976 flush 4 0.01% 1 : 15515 99.88%
21 J5s KJ975 flush 4 0.01% 1 : 15515 99.87%
22 J4s KJ974 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJ973 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ972 flush 4 0.01% 1 : 15515 99.85%
25 T8s KT987 flush 4 0.01% 1 : 15515 99.85%
26 T6s KT976 flush 4 0.01% 1 : 15515 99.84%
27 T5s KT975 flush 4 0.01% 1 : 15515 99.83%
28 T4s KT974 flush 4 0.01% 1 : 15515 99.83%
29 T3s KT973 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT972 flush 4 0.01% 1 : 15515 99.81%
31 86s K9876 flush 4 0.01% 1 : 15515 99.81%
32 85s K9875 flush 4 0.01% 1 : 15515 99.80%
33 84s K9874 flush 4 0.01% 1 : 15515 99.79%
34 83s K9873 flush 4 0.01% 1 : 15515 99.79%
35 82s K9872 flush 4 0.01% 1 : 15515 99.78%
36 65s K9765 flush 4 0.01% 1 : 15515 99.77%
37 64s K9764 flush 4 0.01% 1 : 15515 99.77%
38 63s K9763 flush 4 0.01% 1 : 15515 99.76%
39 62s K9762 flush 4 0.01% 1 : 15515 99.76%
40 54s K9754 flush 4 0.01% 1 : 15515 99.75%
41 53s K9753 flush 4 0.01% 1 : 15515 99.74%
42 52s K9752 flush 4 0.01% 1 : 15515 99.74%
43 43s K9743 flush 4 0.01% 1 : 15515 99.73%
44 42s K9742 flush 4 0.01% 1 : 15515 99.72%
45 32s K9732 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK97 three of a kind 64 0.10% 1 : 969 99.71%
47 99 K9997 three of a kind 64 0.10% 1 : 969 99.61%
48 77 K9777 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K9 KK997 two pairs 144 0.23% 1 : 430 99.40%
50 K7 KK977 two pairs 144 0.23% 1 : 430 99.17%
51 97 K9977 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK97 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK97 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ97 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ97 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT97 one pair 384 0.62% 1 : 161 96.23%
57 K8 KK987 one pair 384 0.62% 1 : 161 95.61%
58 K6 KK976 one pair 384 0.62% 1 : 161 94.99%
59 K5 KK975 one pair 384 0.62% 1 : 161 94.37%
60 K4 KK974 one pair 384 0.62% 1 : 161 93.75%
61 K3 KK973 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK972 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ97 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ97 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT97 one pair 384 0.62% 1 : 161 90.66%
66 A9 AK997 one pair 384 0.62% 1 : 161 90.04%
67 Q9 KQ997 one pair 384 0.62% 1 : 161 89.42%
68 J9 KJ997 one pair 384 0.62% 1 : 161 88.81%
69 T9 KT997 one pair 384 0.62% 1 : 161 88.19%
70 98 K9987 one pair 384 0.62% 1 : 161 87.57%
71 96 K9976 one pair 384 0.62% 1 : 161 86.95%
72 95 K9975 one pair 384 0.62% 1 : 161 86.33%
73 94 K9974 one pair 384 0.62% 1 : 161 85.71%
74 93 K9973 one pair 384 0.62% 1 : 161 85.09%
75 92 K9972 one pair 384 0.62% 1 : 161 84.47%
76 88 K9887 one pair 384 0.62% 1 : 161 83.86%
77 A7 AK977 one pair 384 0.62% 1 : 161 83.24%
78 Q7 KQ977 one pair 384 0.62% 1 : 161 82.62%
79 J7 KJ977 one pair 384 0.62% 1 : 161 82.00%
80 T7 KT977 one pair 384 0.62% 1 : 161 81.38%
81 87 K9877 one pair 384 0.62% 1 : 161 80.76%
82 76 K9776 one pair 384 0.62% 1 : 161 80.14%
83 75 K9775 one pair 384 0.62% 1 : 161 79.52%
84 74 K9774 one pair 384 0.62% 1 : 161 78.91%
85 73 K9773 one pair 384 0.62% 1 : 161 78.29%
86 72 K9772 one pair 384 0.62% 1 : 161 77.67%
87 66 K9766 one pair 384 0.62% 1 : 161 77.05%
88 55 K9755 one pair 384 0.62% 1 : 161 76.43%
89 44 K9744 one pair 384 0.62% 1 : 161 75.81%
90 33 K9733 one pair 384 0.62% 1 : 161 75.19%
91 22 K9722 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ97 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ97 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT97 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AK987 high card 1,020 1.64% 1 : 59.8 69.03%
96 A6 AK976 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AK975 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AK974 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AK973 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK972 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ97 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT97 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 KQ987 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 KQ976 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 KQ975 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQ974 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQ973 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ972 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT97 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 KJ987 high card 1,020 1.64% 1 : 59.8 44.37%
111 J6 KJ976 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 KJ975 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 KJ974 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJ973 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ972 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 KT987 high card 1,020 1.64% 1 : 59.8 34.51%
117 T6 KT976 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 KT975 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 KT974 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 KT973 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT972 high card 1,020 1.64% 1 : 59.8 26.30%
122 86 K9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 K9875 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 K9874 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 K9873 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 K9872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 K9765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 K9764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 K9763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 K9762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 K9754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 K9753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 K9752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 K9743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 K9742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 K9732 high card 1,020 1.64% 1 : 59.8 1.64%