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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 AK AAAAK four of a kind 4 0.09% 1 : 1139 100.00%
2 AQ AAAAQ four of a kind 4 0.09% 1 : 1139 99.91%
3 AJ AAAAJ four of a kind 4 0.09% 1 : 1139 99.82%
4 AT AAAAT four of a kind 4 0.09% 1 : 1139 99.74%
5 A9 AAAA9 four of a kind 4 0.09% 1 : 1139 99.65%
6 A8 AAAA8 four of a kind 4 0.09% 1 : 1139 99.56%
7 A7 AAAA7 four of a kind 4 0.09% 1 : 1139 99.47%
8 A6 AAAA6 four of a kind 4 0.09% 1 : 1139 99.39%
9 A5 AAAA5 four of a kind 4 0.09% 1 : 1139 99.30%
10 A4 AAAA4 four of a kind 4 0.09% 1 : 1139 99.21%
11 A3 AAAA3 four of a kind 4 0.09% 1 : 1139 99.12%
12 A2 AAAA2 four of a kind 4 0.09% 1 : 1139 99.04%
 
13 KK AAAKK full house 24 0.53% 1 : 189 98.95%
14 QQ AAAQQ full house 24 0.53% 1 : 189 98.42%
15 JJ AAAJJ full house 24 0.53% 1 : 189 97.89%
16 TT AAATT full house 24 0.53% 1 : 189 97.37%
17 99 AAA99 full house 24 0.53% 1 : 189 96.84%
18 88 AAA88 full house 24 0.53% 1 : 189 96.32%
19 77 AAA77 full house 24 0.53% 1 : 189 95.79%
20 66 AAA66 full house 24 0.53% 1 : 189 95.26%
21 55 AAA55 full house 24 0.53% 1 : 189 94.74%
22 44 AAA44 full house 24 0.53% 1 : 189 94.21%
23 33 AAA33 full house 24 0.53% 1 : 189 93.68%
24 22 AAA22 full house 24 0.53% 1 : 189 93.16%
 
25 KQ AAAKQ three of a kind 64 1.40% 1 : 70.3 92.63%
26 KJ AAAKJ three of a kind 64 1.40% 1 : 70.3 91.23%
27 KT AAAKT three of a kind 64 1.40% 1 : 70.3 89.82%
28 K9 AAAK9 three of a kind 64 1.40% 1 : 70.3 88.42%
29 K8 AAAK8 three of a kind 64 1.40% 1 : 70.3 87.02%
30 K7 AAAK7 three of a kind 64 1.40% 1 : 70.3 85.61%
31 K6 AAAK6 three of a kind 64 1.40% 1 : 70.3 84.21%
32 K5 AAAK5 three of a kind 64 1.40% 1 : 70.3 82.81%
33 K4 AAAK4 three of a kind 64 1.40% 1 : 70.3 81.40%
34 K3 AAAK3 three of a kind 64 1.40% 1 : 70.3 80.00%
35 K2 AAAK2 three of a kind 64 1.40% 1 : 70.3 78.60%
36 QJ AAAQJ three of a kind 64 1.40% 1 : 70.3 77.19%
37 QT AAAQT three of a kind 64 1.40% 1 : 70.3 75.79%
38 Q9 AAAQ9 three of a kind 64 1.40% 1 : 70.3 74.39%
39 Q8 AAAQ8 three of a kind 64 1.40% 1 : 70.3 72.98%
40 Q7 AAAQ7 three of a kind 64 1.40% 1 : 70.3 71.58%
41 Q6 AAAQ6 three of a kind 64 1.40% 1 : 70.3 70.18%
42 Q5 AAAQ5 three of a kind 64 1.40% 1 : 70.3 68.77%
43 Q4 AAAQ4 three of a kind 64 1.40% 1 : 70.3 67.37%
44 Q3 AAAQ3 three of a kind 64 1.40% 1 : 70.3 65.96%
45 Q2 AAAQ2 three of a kind 64 1.40% 1 : 70.3 64.56%
46 JT AAAJT three of a kind 64 1.40% 1 : 70.3 63.16%
47 J9 AAAJ9 three of a kind 64 1.40% 1 : 70.3 61.75%
48 J8 AAAJ8 three of a kind 64 1.40% 1 : 70.3 60.35%
49 J7 AAAJ7 three of a kind 64 1.40% 1 : 70.3 58.95%
50 J6 AAAJ6 three of a kind 64 1.40% 1 : 70.3 57.54%
51 J5 AAAJ5 three of a kind 64 1.40% 1 : 70.3 56.14%
52 J4 AAAJ4 three of a kind 64 1.40% 1 : 70.3 54.74%
53 J3 AAAJ3 three of a kind 64 1.40% 1 : 70.3 53.33%
54 J2 AAAJ2 three of a kind 64 1.40% 1 : 70.3 51.93%
55 T9 AAAT9 three of a kind 64 1.40% 1 : 70.3 50.53%
56 T8 AAAT8 three of a kind 64 1.40% 1 : 70.3 49.12%
57 T7 AAAT7 three of a kind 64 1.40% 1 : 70.3 47.72%
58 T6 AAAT6 three of a kind 64 1.40% 1 : 70.3 46.32%
59 T5 AAAT5 three of a kind 64 1.40% 1 : 70.3 44.91%
60 T4 AAAT4 three of a kind 64 1.40% 1 : 70.3 43.51%
61 T3 AAAT3 three of a kind 64 1.40% 1 : 70.3 42.11%
62 T2 AAAT2 three of a kind 64 1.40% 1 : 70.3 40.70%
63 98 AAA98 three of a kind 64 1.40% 1 : 70.3 39.30%
64 97 AAA97 three of a kind 64 1.40% 1 : 70.3 37.89%
65 96 AAA96 three of a kind 64 1.40% 1 : 70.3 36.49%
66 95 AAA95 three of a kind 64 1.40% 1 : 70.3 35.09%
67 94 AAA94 three of a kind 64 1.40% 1 : 70.3 33.68%
68 93 AAA93 three of a kind 64 1.40% 1 : 70.3 32.28%
69 92 AAA92 three of a kind 64 1.40% 1 : 70.3 30.88%
70 87 AAA87 three of a kind 64 1.40% 1 : 70.3 29.47%
71 86 AAA86 three of a kind 64 1.40% 1 : 70.3 28.07%
72 85 AAA85 three of a kind 64 1.40% 1 : 70.3 26.67%
73 84 AAA84 three of a kind 64 1.40% 1 : 70.3 25.26%
74 83 AAA83 three of a kind 64 1.40% 1 : 70.3 23.86%
75 82 AAA82 three of a kind 64 1.40% 1 : 70.3 22.46%
76 76 AAA76 three of a kind 64 1.40% 1 : 70.3 21.05%
77 75 AAA75 three of a kind 64 1.40% 1 : 70.3 19.65%
78 74 AAA74 three of a kind 64 1.40% 1 : 70.3 18.25%
79 73 AAA73 three of a kind 64 1.40% 1 : 70.3 16.84%
80 72 AAA72 three of a kind 64 1.40% 1 : 70.3 15.44%
81 65 AAA65 three of a kind 64 1.40% 1 : 70.3 14.04%
82 64 AAA64 three of a kind 64 1.40% 1 : 70.3 12.63%
83 63 AAA63 three of a kind 64 1.40% 1 : 70.3 11.23%
84 62 AAA62 three of a kind 64 1.40% 1 : 70.3 9.82%
85 54 AAA54 three of a kind 64 1.40% 1 : 70.3 8.42%
86 53 AAA53 three of a kind 64 1.40% 1 : 70.3 7.02%
87 52 AAA52 three of a kind 64 1.40% 1 : 70.3 5.61%
88 43 AAA43 three of a kind 64 1.40% 1 : 70.3 4.21%
89 42 AAA42 three of a kind 64 1.40% 1 : 70.3 2.81%
90 32 AAA32 three of a kind 64 1.40% 1 : 70.3 1.40%