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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 12 48 1.05% 1 : 94.0
full house 12 288 6.32% 1 : 14.8
flush 0 0 impossible impossible
straight 0 0 impossible impossible
three of a kind 66 4,224 92.63% 12.6 : 1
two pairs 0 0 impossible impossible
one pair 0 0 impossible impossible
high card 0 0 impossible impossible
total 90 4,560 100 %



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 90 distinct hole cards
hole cards hand category combinations probability odds equity
nuts A2 A2222 four of a kind 4 0.09% 1 : 1139 100.00%
2 K2 K2222 four of a kind 4 0.09% 1 : 1139 99.91%
3 Q2 Q2222 four of a kind 4 0.09% 1 : 1139 99.82%
4 J2 J2222 four of a kind 4 0.09% 1 : 1139 99.74%
5 T2 T2222 four of a kind 4 0.09% 1 : 1139 99.65%
6 92 92222 four of a kind 4 0.09% 1 : 1139 99.56%
7 82 82222 four of a kind 4 0.09% 1 : 1139 99.47%
8 72 72222 four of a kind 4 0.09% 1 : 1139 99.39%
9 62 62222 four of a kind 4 0.09% 1 : 1139 99.30%
10 52 52222 four of a kind 4 0.09% 1 : 1139 99.21%
11 42 42222 four of a kind 4 0.09% 1 : 1139 99.12%
12 32 32222 four of a kind 4 0.09% 1 : 1139 99.04%
 
13 AA AA222 full house 24 0.53% 1 : 189 98.95%
14 KK KK222 full house 24 0.53% 1 : 189 98.42%
15 QQ QQ222 full house 24 0.53% 1 : 189 97.89%
16 JJ JJ222 full house 24 0.53% 1 : 189 97.37%
17 TT TT222 full house 24 0.53% 1 : 189 96.84%
18 99 99222 full house 24 0.53% 1 : 189 96.32%
19 88 88222 full house 24 0.53% 1 : 189 95.79%
20 77 77222 full house 24 0.53% 1 : 189 95.26%
21 66 66222 full house 24 0.53% 1 : 189 94.74%
22 55 55222 full house 24 0.53% 1 : 189 94.21%
23 44 44222 full house 24 0.53% 1 : 189 93.68%
24 33 33222 full house 24 0.53% 1 : 189 93.16%
 
25 AK AK222 three of a kind 64 1.40% 1 : 70.3 92.63%
26 AQ AQ222 three of a kind 64 1.40% 1 : 70.3 91.23%
27 AJ AJ222 three of a kind 64 1.40% 1 : 70.3 89.82%
28 AT AT222 three of a kind 64 1.40% 1 : 70.3 88.42%
29 A9 A9222 three of a kind 64 1.40% 1 : 70.3 87.02%
30 A8 A8222 three of a kind 64 1.40% 1 : 70.3 85.61%
31 A7 A7222 three of a kind 64 1.40% 1 : 70.3 84.21%
32 A6 A6222 three of a kind 64 1.40% 1 : 70.3 82.81%
33 A5 A5222 three of a kind 64 1.40% 1 : 70.3 81.40%
34 A4 A4222 three of a kind 64 1.40% 1 : 70.3 80.00%
35 A3 A3222 three of a kind 64 1.40% 1 : 70.3 78.60%
36 KQ KQ222 three of a kind 64 1.40% 1 : 70.3 77.19%
37 KJ KJ222 three of a kind 64 1.40% 1 : 70.3 75.79%
38 KT KT222 three of a kind 64 1.40% 1 : 70.3 74.39%
39 K9 K9222 three of a kind 64 1.40% 1 : 70.3 72.98%
40 K8 K8222 three of a kind 64 1.40% 1 : 70.3 71.58%
41 K7 K7222 three of a kind 64 1.40% 1 : 70.3 70.18%
42 K6 K6222 three of a kind 64 1.40% 1 : 70.3 68.77%
43 K5 K5222 three of a kind 64 1.40% 1 : 70.3 67.37%
44 K4 K4222 three of a kind 64 1.40% 1 : 70.3 65.96%
45 K3 K3222 three of a kind 64 1.40% 1 : 70.3 64.56%
46 QJ QJ222 three of a kind 64 1.40% 1 : 70.3 63.16%
47 QT QT222 three of a kind 64 1.40% 1 : 70.3 61.75%
48 Q9 Q9222 three of a kind 64 1.40% 1 : 70.3 60.35%
49 Q8 Q8222 three of a kind 64 1.40% 1 : 70.3 58.95%
50 Q7 Q7222 three of a kind 64 1.40% 1 : 70.3 57.54%
51 Q6 Q6222 three of a kind 64 1.40% 1 : 70.3 56.14%
52 Q5 Q5222 three of a kind 64 1.40% 1 : 70.3 54.74%
53 Q4 Q4222 three of a kind 64 1.40% 1 : 70.3 53.33%
54 Q3 Q3222 three of a kind 64 1.40% 1 : 70.3 51.93%
55 JT JT222 three of a kind 64 1.40% 1 : 70.3 50.53%
56 J9 J9222 three of a kind 64 1.40% 1 : 70.3 49.12%
57 J8 J8222 three of a kind 64 1.40% 1 : 70.3 47.72%
58 J7 J7222 three of a kind 64 1.40% 1 : 70.3 46.32%
59 J6 J6222 three of a kind 64 1.40% 1 : 70.3 44.91%
60 J5 J5222 three of a kind 64 1.40% 1 : 70.3 43.51%
61 J4 J4222 three of a kind 64 1.40% 1 : 70.3 42.11%
62 J3 J3222 three of a kind 64 1.40% 1 : 70.3 40.70%
63 T9 T9222 three of a kind 64 1.40% 1 : 70.3 39.30%
64 T8 T8222 three of a kind 64 1.40% 1 : 70.3 37.89%
65 T7 T7222 three of a kind 64 1.40% 1 : 70.3 36.49%
66 T6 T6222 three of a kind 64 1.40% 1 : 70.3 35.09%
67 T5 T5222 three of a kind 64 1.40% 1 : 70.3 33.68%
68 T4 T4222 three of a kind 64 1.40% 1 : 70.3 32.28%
69 T3 T3222 three of a kind 64 1.40% 1 : 70.3 30.88%
70 98 98222 three of a kind 64 1.40% 1 : 70.3 29.47%
71 97 97222 three of a kind 64 1.40% 1 : 70.3 28.07%
72 96 96222 three of a kind 64 1.40% 1 : 70.3 26.67%
73 95 95222 three of a kind 64 1.40% 1 : 70.3 25.26%
74 94 94222 three of a kind 64 1.40% 1 : 70.3 23.86%
75 93 93222 three of a kind 64 1.40% 1 : 70.3 22.46%
76 87 87222 three of a kind 64 1.40% 1 : 70.3 21.05%
77 86 86222 three of a kind 64 1.40% 1 : 70.3 19.65%
78 85 85222 three of a kind 64 1.40% 1 : 70.3 18.25%
79 84 84222 three of a kind 64 1.40% 1 : 70.3 16.84%
80 83 83222 three of a kind 64 1.40% 1 : 70.3 15.44%
81 76 76222 three of a kind 64 1.40% 1 : 70.3 14.04%
82 75 75222 three of a kind 64 1.40% 1 : 70.3 12.63%
83 74 74222 three of a kind 64 1.40% 1 : 70.3 11.23%
84 73 73222 three of a kind 64 1.40% 1 : 70.3 9.82%
85 65 65222 three of a kind 64 1.40% 1 : 70.3 8.42%
86 64 64222 three of a kind 64 1.40% 1 : 70.3 7.02%
87 63 63222 three of a kind 64 1.40% 1 : 70.3 5.61%
88 54 54222 three of a kind 64 1.40% 1 : 70.3 4.21%
89 53 53222 three of a kind 64 1.40% 1 : 70.3 2.81%
90 43 43222 three of a kind 64 1.40% 1 : 70.3 1.40%