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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 A3 A3333 four of a kind 4 0.09% 1 : 1139 100.00%
2 K3 K3333 four of a kind 4 0.09% 1 : 1139 99.91%
3 Q3 Q3333 four of a kind 4 0.09% 1 : 1139 99.82%
4 J3 J3333 four of a kind 4 0.09% 1 : 1139 99.74%
5 T3 T3333 four of a kind 4 0.09% 1 : 1139 99.65%
6 93 93333 four of a kind 4 0.09% 1 : 1139 99.56%
7 83 83333 four of a kind 4 0.09% 1 : 1139 99.47%
8 73 73333 four of a kind 4 0.09% 1 : 1139 99.39%
9 63 63333 four of a kind 4 0.09% 1 : 1139 99.30%
10 53 53333 four of a kind 4 0.09% 1 : 1139 99.21%
11 43 43333 four of a kind 4 0.09% 1 : 1139 99.12%
12 32 33332 four of a kind 4 0.09% 1 : 1139 99.04%
 
13 AA AA333 full house 24 0.53% 1 : 189 98.95%
14 KK KK333 full house 24 0.53% 1 : 189 98.42%
15 QQ QQ333 full house 24 0.53% 1 : 189 97.89%
16 JJ JJ333 full house 24 0.53% 1 : 189 97.37%
17 TT TT333 full house 24 0.53% 1 : 189 96.84%
18 99 99333 full house 24 0.53% 1 : 189 96.32%
19 88 88333 full house 24 0.53% 1 : 189 95.79%
20 77 77333 full house 24 0.53% 1 : 189 95.26%
21 66 66333 full house 24 0.53% 1 : 189 94.74%
22 55 55333 full house 24 0.53% 1 : 189 94.21%
23 44 44333 full house 24 0.53% 1 : 189 93.68%
24 22 33322 full house 24 0.53% 1 : 189 93.16%
 
25 AK AK333 three of a kind 64 1.40% 1 : 70.3 92.63%
26 AQ AQ333 three of a kind 64 1.40% 1 : 70.3 91.23%
27 AJ AJ333 three of a kind 64 1.40% 1 : 70.3 89.82%
28 AT AT333 three of a kind 64 1.40% 1 : 70.3 88.42%
29 A9 A9333 three of a kind 64 1.40% 1 : 70.3 87.02%
30 A8 A8333 three of a kind 64 1.40% 1 : 70.3 85.61%
31 A7 A7333 three of a kind 64 1.40% 1 : 70.3 84.21%
32 A6 A6333 three of a kind 64 1.40% 1 : 70.3 82.81%
33 A5 A5333 three of a kind 64 1.40% 1 : 70.3 81.40%
34 A4 A4333 three of a kind 64 1.40% 1 : 70.3 80.00%
35 A2 A3332 three of a kind 64 1.40% 1 : 70.3 78.60%
36 KQ KQ333 three of a kind 64 1.40% 1 : 70.3 77.19%
37 KJ KJ333 three of a kind 64 1.40% 1 : 70.3 75.79%
38 KT KT333 three of a kind 64 1.40% 1 : 70.3 74.39%
39 K9 K9333 three of a kind 64 1.40% 1 : 70.3 72.98%
40 K8 K8333 three of a kind 64 1.40% 1 : 70.3 71.58%
41 K7 K7333 three of a kind 64 1.40% 1 : 70.3 70.18%
42 K6 K6333 three of a kind 64 1.40% 1 : 70.3 68.77%
43 K5 K5333 three of a kind 64 1.40% 1 : 70.3 67.37%
44 K4 K4333 three of a kind 64 1.40% 1 : 70.3 65.96%
45 K2 K3332 three of a kind 64 1.40% 1 : 70.3 64.56%
46 QJ QJ333 three of a kind 64 1.40% 1 : 70.3 63.16%
47 QT QT333 three of a kind 64 1.40% 1 : 70.3 61.75%
48 Q9 Q9333 three of a kind 64 1.40% 1 : 70.3 60.35%
49 Q8 Q8333 three of a kind 64 1.40% 1 : 70.3 58.95%
50 Q7 Q7333 three of a kind 64 1.40% 1 : 70.3 57.54%
51 Q6 Q6333 three of a kind 64 1.40% 1 : 70.3 56.14%
52 Q5 Q5333 three of a kind 64 1.40% 1 : 70.3 54.74%
53 Q4 Q4333 three of a kind 64 1.40% 1 : 70.3 53.33%
54 Q2 Q3332 three of a kind 64 1.40% 1 : 70.3 51.93%
55 JT JT333 three of a kind 64 1.40% 1 : 70.3 50.53%
56 J9 J9333 three of a kind 64 1.40% 1 : 70.3 49.12%
57 J8 J8333 three of a kind 64 1.40% 1 : 70.3 47.72%
58 J7 J7333 three of a kind 64 1.40% 1 : 70.3 46.32%
59 J6 J6333 three of a kind 64 1.40% 1 : 70.3 44.91%
60 J5 J5333 three of a kind 64 1.40% 1 : 70.3 43.51%
61 J4 J4333 three of a kind 64 1.40% 1 : 70.3 42.11%
62 J2 J3332 three of a kind 64 1.40% 1 : 70.3 40.70%
63 T9 T9333 three of a kind 64 1.40% 1 : 70.3 39.30%
64 T8 T8333 three of a kind 64 1.40% 1 : 70.3 37.89%
65 T7 T7333 three of a kind 64 1.40% 1 : 70.3 36.49%
66 T6 T6333 three of a kind 64 1.40% 1 : 70.3 35.09%
67 T5 T5333 three of a kind 64 1.40% 1 : 70.3 33.68%
68 T4 T4333 three of a kind 64 1.40% 1 : 70.3 32.28%
69 T2 T3332 three of a kind 64 1.40% 1 : 70.3 30.88%
70 98 98333 three of a kind 64 1.40% 1 : 70.3 29.47%
71 97 97333 three of a kind 64 1.40% 1 : 70.3 28.07%
72 96 96333 three of a kind 64 1.40% 1 : 70.3 26.67%
73 95 95333 three of a kind 64 1.40% 1 : 70.3 25.26%
74 94 94333 three of a kind 64 1.40% 1 : 70.3 23.86%
75 92 93332 three of a kind 64 1.40% 1 : 70.3 22.46%
76 87 87333 three of a kind 64 1.40% 1 : 70.3 21.05%
77 86 86333 three of a kind 64 1.40% 1 : 70.3 19.65%
78 85 85333 three of a kind 64 1.40% 1 : 70.3 18.25%
79 84 84333 three of a kind 64 1.40% 1 : 70.3 16.84%
80 82 83332 three of a kind 64 1.40% 1 : 70.3 15.44%
81 76 76333 three of a kind 64 1.40% 1 : 70.3 14.04%
82 75 75333 three of a kind 64 1.40% 1 : 70.3 12.63%
83 74 74333 three of a kind 64 1.40% 1 : 70.3 11.23%
84 72 73332 three of a kind 64 1.40% 1 : 70.3 9.82%
85 65 65333 three of a kind 64 1.40% 1 : 70.3 8.42%
86 64 64333 three of a kind 64 1.40% 1 : 70.3 7.02%
87 62 63332 three of a kind 64 1.40% 1 : 70.3 5.61%
88 54 54333 three of a kind 64 1.40% 1 : 70.3 4.21%
89 52 53332 three of a kind 64 1.40% 1 : 70.3 2.81%
90 42 43332 three of a kind 64 1.40% 1 : 70.3 1.40%