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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 A4 A4444 four of a kind 4 0.09% 1 : 1139 100.00%
2 K4 K4444 four of a kind 4 0.09% 1 : 1139 99.91%
3 Q4 Q4444 four of a kind 4 0.09% 1 : 1139 99.82%
4 J4 J4444 four of a kind 4 0.09% 1 : 1139 99.74%
5 T4 T4444 four of a kind 4 0.09% 1 : 1139 99.65%
6 94 94444 four of a kind 4 0.09% 1 : 1139 99.56%
7 84 84444 four of a kind 4 0.09% 1 : 1139 99.47%
8 74 74444 four of a kind 4 0.09% 1 : 1139 99.39%
9 64 64444 four of a kind 4 0.09% 1 : 1139 99.30%
10 54 54444 four of a kind 4 0.09% 1 : 1139 99.21%
11 43 44443 four of a kind 4 0.09% 1 : 1139 99.12%
12 42 44442 four of a kind 4 0.09% 1 : 1139 99.04%
 
13 AA AA444 full house 24 0.53% 1 : 189 98.95%
14 KK KK444 full house 24 0.53% 1 : 189 98.42%
15 QQ QQ444 full house 24 0.53% 1 : 189 97.89%
16 JJ JJ444 full house 24 0.53% 1 : 189 97.37%
17 TT TT444 full house 24 0.53% 1 : 189 96.84%
18 99 99444 full house 24 0.53% 1 : 189 96.32%
19 88 88444 full house 24 0.53% 1 : 189 95.79%
20 77 77444 full house 24 0.53% 1 : 189 95.26%
21 66 66444 full house 24 0.53% 1 : 189 94.74%
22 55 55444 full house 24 0.53% 1 : 189 94.21%
23 33 44433 full house 24 0.53% 1 : 189 93.68%
24 22 44422 full house 24 0.53% 1 : 189 93.16%
 
25 AK AK444 three of a kind 64 1.40% 1 : 70.3 92.63%
26 AQ AQ444 three of a kind 64 1.40% 1 : 70.3 91.23%
27 AJ AJ444 three of a kind 64 1.40% 1 : 70.3 89.82%
28 AT AT444 three of a kind 64 1.40% 1 : 70.3 88.42%
29 A9 A9444 three of a kind 64 1.40% 1 : 70.3 87.02%
30 A8 A8444 three of a kind 64 1.40% 1 : 70.3 85.61%
31 A7 A7444 three of a kind 64 1.40% 1 : 70.3 84.21%
32 A6 A6444 three of a kind 64 1.40% 1 : 70.3 82.81%
33 A5 A5444 three of a kind 64 1.40% 1 : 70.3 81.40%
34 A3 A4443 three of a kind 64 1.40% 1 : 70.3 80.00%
35 A2 A4442 three of a kind 64 1.40% 1 : 70.3 78.60%
36 KQ KQ444 three of a kind 64 1.40% 1 : 70.3 77.19%
37 KJ KJ444 three of a kind 64 1.40% 1 : 70.3 75.79%
38 KT KT444 three of a kind 64 1.40% 1 : 70.3 74.39%
39 K9 K9444 three of a kind 64 1.40% 1 : 70.3 72.98%
40 K8 K8444 three of a kind 64 1.40% 1 : 70.3 71.58%
41 K7 K7444 three of a kind 64 1.40% 1 : 70.3 70.18%
42 K6 K6444 three of a kind 64 1.40% 1 : 70.3 68.77%
43 K5 K5444 three of a kind 64 1.40% 1 : 70.3 67.37%
44 K3 K4443 three of a kind 64 1.40% 1 : 70.3 65.96%
45 K2 K4442 three of a kind 64 1.40% 1 : 70.3 64.56%
46 QJ QJ444 three of a kind 64 1.40% 1 : 70.3 63.16%
47 QT QT444 three of a kind 64 1.40% 1 : 70.3 61.75%
48 Q9 Q9444 three of a kind 64 1.40% 1 : 70.3 60.35%
49 Q8 Q8444 three of a kind 64 1.40% 1 : 70.3 58.95%
50 Q7 Q7444 three of a kind 64 1.40% 1 : 70.3 57.54%
51 Q6 Q6444 three of a kind 64 1.40% 1 : 70.3 56.14%
52 Q5 Q5444 three of a kind 64 1.40% 1 : 70.3 54.74%
53 Q3 Q4443 three of a kind 64 1.40% 1 : 70.3 53.33%
54 Q2 Q4442 three of a kind 64 1.40% 1 : 70.3 51.93%
55 JT JT444 three of a kind 64 1.40% 1 : 70.3 50.53%
56 J9 J9444 three of a kind 64 1.40% 1 : 70.3 49.12%
57 J8 J8444 three of a kind 64 1.40% 1 : 70.3 47.72%
58 J7 J7444 three of a kind 64 1.40% 1 : 70.3 46.32%
59 J6 J6444 three of a kind 64 1.40% 1 : 70.3 44.91%
60 J5 J5444 three of a kind 64 1.40% 1 : 70.3 43.51%
61 J3 J4443 three of a kind 64 1.40% 1 : 70.3 42.11%
62 J2 J4442 three of a kind 64 1.40% 1 : 70.3 40.70%
63 T9 T9444 three of a kind 64 1.40% 1 : 70.3 39.30%
64 T8 T8444 three of a kind 64 1.40% 1 : 70.3 37.89%
65 T7 T7444 three of a kind 64 1.40% 1 : 70.3 36.49%
66 T6 T6444 three of a kind 64 1.40% 1 : 70.3 35.09%
67 T5 T5444 three of a kind 64 1.40% 1 : 70.3 33.68%
68 T3 T4443 three of a kind 64 1.40% 1 : 70.3 32.28%
69 T2 T4442 three of a kind 64 1.40% 1 : 70.3 30.88%
70 98 98444 three of a kind 64 1.40% 1 : 70.3 29.47%
71 97 97444 three of a kind 64 1.40% 1 : 70.3 28.07%
72 96 96444 three of a kind 64 1.40% 1 : 70.3 26.67%
73 95 95444 three of a kind 64 1.40% 1 : 70.3 25.26%
74 93 94443 three of a kind 64 1.40% 1 : 70.3 23.86%
75 92 94442 three of a kind 64 1.40% 1 : 70.3 22.46%
76 87 87444 three of a kind 64 1.40% 1 : 70.3 21.05%
77 86 86444 three of a kind 64 1.40% 1 : 70.3 19.65%
78 85 85444 three of a kind 64 1.40% 1 : 70.3 18.25%
79 83 84443 three of a kind 64 1.40% 1 : 70.3 16.84%
80 82 84442 three of a kind 64 1.40% 1 : 70.3 15.44%
81 76 76444 three of a kind 64 1.40% 1 : 70.3 14.04%
82 75 75444 three of a kind 64 1.40% 1 : 70.3 12.63%
83 73 74443 three of a kind 64 1.40% 1 : 70.3 11.23%
84 72 74442 three of a kind 64 1.40% 1 : 70.3 9.82%
85 65 65444 three of a kind 64 1.40% 1 : 70.3 8.42%
86 63 64443 three of a kind 64 1.40% 1 : 70.3 7.02%
87 62 64442 three of a kind 64 1.40% 1 : 70.3 5.61%
88 53 54443 three of a kind 64 1.40% 1 : 70.3 4.21%
89 52 54442 three of a kind 64 1.40% 1 : 70.3 2.81%
90 32 44432 three of a kind 64 1.40% 1 : 70.3 1.40%