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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 AKs AK873 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ873 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ873 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT873 flush 4 0.01% 1 : 15515 99.98%
5 A9s A9873 flush 4 0.01% 1 : 15515 99.97%
6 A6s A8763 flush 4 0.01% 1 : 15515 99.97%
7 A5s A8753 flush 4 0.01% 1 : 15515 99.96%
8 A4s A8743 flush 4 0.01% 1 : 15515 99.95%
9 A2s A8732 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ873 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ873 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT873 flush 4 0.01% 1 : 15515 99.93%
13 K9s K9873 flush 4 0.01% 1 : 15515 99.92%
14 K6s K8763 flush 4 0.01% 1 : 15515 99.92%
15 K5s K8753 flush 4 0.01% 1 : 15515 99.91%
16 K4s K8743 flush 4 0.01% 1 : 15515 99.90%
17 K2s K8732 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ873 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT873 flush 4 0.01% 1 : 15515 99.88%
20 Q9s Q9873 flush 4 0.01% 1 : 15515 99.88%
21 Q6s Q8763 flush 4 0.01% 1 : 15515 99.87%
22 Q5s Q8753 flush 4 0.01% 1 : 15515 99.86%
23 Q4s Q8743 flush 4 0.01% 1 : 15515 99.86%
24 Q2s Q8732 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT873 flush 4 0.01% 1 : 15515 99.85%
26 J9s J9873 flush 4 0.01% 1 : 15515 99.84%
27 J6s J8763 flush 4 0.01% 1 : 15515 99.83%
28 J5s J8753 flush 4 0.01% 1 : 15515 99.83%
29 J4s J8743 flush 4 0.01% 1 : 15515 99.82%
30 J2s J8732 flush 4 0.01% 1 : 15515 99.81%
31 T9s T9873 flush 4 0.01% 1 : 15515 99.81%
32 T6s T8763 flush 4 0.01% 1 : 15515 99.80%
33 T5s T8753 flush 4 0.01% 1 : 15515 99.79%
34 T4s T8743 flush 4 0.01% 1 : 15515 99.79%
35 T2s T8732 flush 4 0.01% 1 : 15515 99.78%
36 96s 98763 flush 4 0.01% 1 : 15515 99.77%
37 95s 98753 flush 4 0.01% 1 : 15515 99.77%
38 94s 98743 flush 4 0.01% 1 : 15515 99.76%
39 92s 98732 flush 4 0.01% 1 : 15515 99.76%
40 65s 87653 flush 4 0.01% 1 : 15515 99.75%
41 64s 87643 flush 4 0.01% 1 : 15515 99.74%
42 62s 87632 flush 4 0.01% 1 : 15515 99.74%
43 54s 87543 flush 4 0.01% 1 : 15515 99.73%
44 52s 87532 flush 4 0.01% 1 : 15515 99.72%
45 42s 87432 flush 4 0.01% 1 : 15515 99.72%
 
46 88 88873 three of a kind 64 0.10% 1 : 969 99.71%
47 77 87773 three of a kind 64 0.10% 1 : 969 99.61%
48 33 87333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 87 88773 two pairs 144 0.23% 1 : 430 99.40%
50 83 88733 two pairs 144 0.23% 1 : 430 99.17%
51 73 87733 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA873 one pair 384 0.62% 1 : 161 98.70%
53 KK KK873 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ873 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ873 one pair 384 0.62% 1 : 161 96.85%
56 TT TT873 one pair 384 0.62% 1 : 161 96.23%
57 99 99873 one pair 384 0.62% 1 : 161 95.61%
58 A8 A8873 one pair 384 0.62% 1 : 161 94.99%
59 K8 K8873 one pair 384 0.62% 1 : 161 94.37%
60 Q8 Q8873 one pair 384 0.62% 1 : 161 93.75%
61 J8 J8873 one pair 384 0.62% 1 : 161 93.14%
62 T8 T8873 one pair 384 0.62% 1 : 161 92.52%
63 98 98873 one pair 384 0.62% 1 : 161 91.90%
64 86 88763 one pair 384 0.62% 1 : 161 91.28%
65 85 88753 one pair 384 0.62% 1 : 161 90.66%
66 84 88743 one pair 384 0.62% 1 : 161 90.04%
67 82 88732 one pair 384 0.62% 1 : 161 89.42%
68 A7 A8773 one pair 384 0.62% 1 : 161 88.81%
69 K7 K8773 one pair 384 0.62% 1 : 161 88.19%
70 Q7 Q8773 one pair 384 0.62% 1 : 161 87.57%
71 J7 J8773 one pair 384 0.62% 1 : 161 86.95%
72 T7 T8773 one pair 384 0.62% 1 : 161 86.33%
73 97 98773 one pair 384 0.62% 1 : 161 85.71%
74 76 87763 one pair 384 0.62% 1 : 161 85.09%
75 75 87753 one pair 384 0.62% 1 : 161 84.47%
76 74 87743 one pair 384 0.62% 1 : 161 83.86%
77 72 87732 one pair 384 0.62% 1 : 161 83.24%
78 66 87663 one pair 384 0.62% 1 : 161 82.62%
79 55 87553 one pair 384 0.62% 1 : 161 82.00%
80 44 87443 one pair 384 0.62% 1 : 161 81.38%
81 A3 A8733 one pair 384 0.62% 1 : 161 80.76%
82 K3 K8733 one pair 384 0.62% 1 : 161 80.14%
83 Q3 Q8733 one pair 384 0.62% 1 : 161 79.52%
84 J3 J8733 one pair 384 0.62% 1 : 161 78.91%
85 T3 T8733 one pair 384 0.62% 1 : 161 78.29%
86 93 98733 one pair 384 0.62% 1 : 161 77.67%
87 63 87633 one pair 384 0.62% 1 : 161 77.05%
88 53 87533 one pair 384 0.62% 1 : 161 76.43%
89 43 87433 one pair 384 0.62% 1 : 161 75.81%
90 32 87332 one pair 384 0.62% 1 : 161 75.19%
91 22 87322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK873 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ873 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ873 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT873 high card 1,020 1.64% 1 : 59.8 69.03%
96 A9 A9873 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 A8763 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 A8753 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 A8743 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 A8732 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ873 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ873 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT873 high card 1,020 1.64% 1 : 59.8 55.88%
104 K9 K9873 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 K8763 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 K8753 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 K8743 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 K8732 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ873 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT873 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q9 Q9873 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 Q8763 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 Q8753 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 Q8743 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 Q8732 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT873 high card 1,020 1.64% 1 : 59.8 34.51%
117 J9 J9873 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 J8763 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 J8753 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 J8743 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 J8732 high card 1,020 1.64% 1 : 59.8 26.30%
122 T9 T9873 high card 1,020 1.64% 1 : 59.8 24.65%
123 T6 T8763 high card 1,020 1.64% 1 : 59.8 23.01%
124 T5 T8753 high card 1,020 1.64% 1 : 59.8 21.37%
125 T4 T8743 high card 1,020 1.64% 1 : 59.8 19.72%
126 T2 T8732 high card 1,020 1.64% 1 : 59.8 18.08%
127 96 98763 high card 1,020 1.64% 1 : 59.8 16.43%
128 95 98753 high card 1,020 1.64% 1 : 59.8 14.79%
129 94 98743 high card 1,020 1.64% 1 : 59.8 13.15%
130 92 98732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 87653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 87643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 87632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 87543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 87532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 87432 high card 1,020 1.64% 1 : 59.8 1.64%