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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 AJ AJJJJ four of a kind 4 0.09% 1 : 1139 100.00%
2 KJ KJJJJ four of a kind 4 0.09% 1 : 1139 99.91%
3 QJ QJJJJ four of a kind 4 0.09% 1 : 1139 99.82%
4 JT JJJJT four of a kind 4 0.09% 1 : 1139 99.74%
5 J9 JJJJ9 four of a kind 4 0.09% 1 : 1139 99.65%
6 J8 JJJJ8 four of a kind 4 0.09% 1 : 1139 99.56%
7 J7 JJJJ7 four of a kind 4 0.09% 1 : 1139 99.47%
8 J6 JJJJ6 four of a kind 4 0.09% 1 : 1139 99.39%
9 J5 JJJJ5 four of a kind 4 0.09% 1 : 1139 99.30%
10 J4 JJJJ4 four of a kind 4 0.09% 1 : 1139 99.21%
11 J3 JJJJ3 four of a kind 4 0.09% 1 : 1139 99.12%
12 J2 JJJJ2 four of a kind 4 0.09% 1 : 1139 99.04%
 
13 AA AAJJJ full house 24 0.53% 1 : 189 98.95%
14 KK KKJJJ full house 24 0.53% 1 : 189 98.42%
15 QQ QQJJJ full house 24 0.53% 1 : 189 97.89%
16 TT JJJTT full house 24 0.53% 1 : 189 97.37%
17 99 JJJ99 full house 24 0.53% 1 : 189 96.84%
18 88 JJJ88 full house 24 0.53% 1 : 189 96.32%
19 77 JJJ77 full house 24 0.53% 1 : 189 95.79%
20 66 JJJ66 full house 24 0.53% 1 : 189 95.26%
21 55 JJJ55 full house 24 0.53% 1 : 189 94.74%
22 44 JJJ44 full house 24 0.53% 1 : 189 94.21%
23 33 JJJ33 full house 24 0.53% 1 : 189 93.68%
24 22 JJJ22 full house 24 0.53% 1 : 189 93.16%
 
25 AK AKJJJ three of a kind 64 1.40% 1 : 70.3 92.63%
26 AQ AQJJJ three of a kind 64 1.40% 1 : 70.3 91.23%
27 AT AJJJT three of a kind 64 1.40% 1 : 70.3 89.82%
28 A9 AJJJ9 three of a kind 64 1.40% 1 : 70.3 88.42%
29 A8 AJJJ8 three of a kind 64 1.40% 1 : 70.3 87.02%
30 A7 AJJJ7 three of a kind 64 1.40% 1 : 70.3 85.61%
31 A6 AJJJ6 three of a kind 64 1.40% 1 : 70.3 84.21%
32 A5 AJJJ5 three of a kind 64 1.40% 1 : 70.3 82.81%
33 A4 AJJJ4 three of a kind 64 1.40% 1 : 70.3 81.40%
34 A3 AJJJ3 three of a kind 64 1.40% 1 : 70.3 80.00%
35 A2 AJJJ2 three of a kind 64 1.40% 1 : 70.3 78.60%
36 KQ KQJJJ three of a kind 64 1.40% 1 : 70.3 77.19%
37 KT KJJJT three of a kind 64 1.40% 1 : 70.3 75.79%
38 K9 KJJJ9 three of a kind 64 1.40% 1 : 70.3 74.39%
39 K8 KJJJ8 three of a kind 64 1.40% 1 : 70.3 72.98%
40 K7 KJJJ7 three of a kind 64 1.40% 1 : 70.3 71.58%
41 K6 KJJJ6 three of a kind 64 1.40% 1 : 70.3 70.18%
42 K5 KJJJ5 three of a kind 64 1.40% 1 : 70.3 68.77%
43 K4 KJJJ4 three of a kind 64 1.40% 1 : 70.3 67.37%
44 K3 KJJJ3 three of a kind 64 1.40% 1 : 70.3 65.96%
45 K2 KJJJ2 three of a kind 64 1.40% 1 : 70.3 64.56%
46 QT QJJJT three of a kind 64 1.40% 1 : 70.3 63.16%
47 Q9 QJJJ9 three of a kind 64 1.40% 1 : 70.3 61.75%
48 Q8 QJJJ8 three of a kind 64 1.40% 1 : 70.3 60.35%
49 Q7 QJJJ7 three of a kind 64 1.40% 1 : 70.3 58.95%
50 Q6 QJJJ6 three of a kind 64 1.40% 1 : 70.3 57.54%
51 Q5 QJJJ5 three of a kind 64 1.40% 1 : 70.3 56.14%
52 Q4 QJJJ4 three of a kind 64 1.40% 1 : 70.3 54.74%
53 Q3 QJJJ3 three of a kind 64 1.40% 1 : 70.3 53.33%
54 Q2 QJJJ2 three of a kind 64 1.40% 1 : 70.3 51.93%
55 T9 JJJT9 three of a kind 64 1.40% 1 : 70.3 50.53%
56 T8 JJJT8 three of a kind 64 1.40% 1 : 70.3 49.12%
57 T7 JJJT7 three of a kind 64 1.40% 1 : 70.3 47.72%
58 T6 JJJT6 three of a kind 64 1.40% 1 : 70.3 46.32%
59 T5 JJJT5 three of a kind 64 1.40% 1 : 70.3 44.91%
60 T4 JJJT4 three of a kind 64 1.40% 1 : 70.3 43.51%
61 T3 JJJT3 three of a kind 64 1.40% 1 : 70.3 42.11%
62 T2 JJJT2 three of a kind 64 1.40% 1 : 70.3 40.70%
63 98 JJJ98 three of a kind 64 1.40% 1 : 70.3 39.30%
64 97 JJJ97 three of a kind 64 1.40% 1 : 70.3 37.89%
65 96 JJJ96 three of a kind 64 1.40% 1 : 70.3 36.49%
66 95 JJJ95 three of a kind 64 1.40% 1 : 70.3 35.09%
67 94 JJJ94 three of a kind 64 1.40% 1 : 70.3 33.68%
68 93 JJJ93 three of a kind 64 1.40% 1 : 70.3 32.28%
69 92 JJJ92 three of a kind 64 1.40% 1 : 70.3 30.88%
70 87 JJJ87 three of a kind 64 1.40% 1 : 70.3 29.47%
71 86 JJJ86 three of a kind 64 1.40% 1 : 70.3 28.07%
72 85 JJJ85 three of a kind 64 1.40% 1 : 70.3 26.67%
73 84 JJJ84 three of a kind 64 1.40% 1 : 70.3 25.26%
74 83 JJJ83 three of a kind 64 1.40% 1 : 70.3 23.86%
75 82 JJJ82 three of a kind 64 1.40% 1 : 70.3 22.46%
76 76 JJJ76 three of a kind 64 1.40% 1 : 70.3 21.05%
77 75 JJJ75 three of a kind 64 1.40% 1 : 70.3 19.65%
78 74 JJJ74 three of a kind 64 1.40% 1 : 70.3 18.25%
79 73 JJJ73 three of a kind 64 1.40% 1 : 70.3 16.84%
80 72 JJJ72 three of a kind 64 1.40% 1 : 70.3 15.44%
81 65 JJJ65 three of a kind 64 1.40% 1 : 70.3 14.04%
82 64 JJJ64 three of a kind 64 1.40% 1 : 70.3 12.63%
83 63 JJJ63 three of a kind 64 1.40% 1 : 70.3 11.23%
84 62 JJJ62 three of a kind 64 1.40% 1 : 70.3 9.82%
85 54 JJJ54 three of a kind 64 1.40% 1 : 70.3 8.42%
86 53 JJJ53 three of a kind 64 1.40% 1 : 70.3 7.02%
87 52 JJJ52 three of a kind 64 1.40% 1 : 70.3 5.61%
88 43 JJJ43 three of a kind 64 1.40% 1 : 70.3 4.21%
89 42 JJJ42 three of a kind 64 1.40% 1 : 70.3 2.81%
90 32 JJJ32 three of a kind 64 1.40% 1 : 70.3 1.40%