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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 A7 A7777 four of a kind 4 0.09% 1 : 1139 100.00%
2 K7 K7777 four of a kind 4 0.09% 1 : 1139 99.91%
3 Q7 Q7777 four of a kind 4 0.09% 1 : 1139 99.82%
4 J7 J7777 four of a kind 4 0.09% 1 : 1139 99.74%
5 T7 T7777 four of a kind 4 0.09% 1 : 1139 99.65%
6 97 97777 four of a kind 4 0.09% 1 : 1139 99.56%
7 87 87777 four of a kind 4 0.09% 1 : 1139 99.47%
8 76 77776 four of a kind 4 0.09% 1 : 1139 99.39%
9 75 77775 four of a kind 4 0.09% 1 : 1139 99.30%
10 74 77774 four of a kind 4 0.09% 1 : 1139 99.21%
11 73 77773 four of a kind 4 0.09% 1 : 1139 99.12%
12 72 77772 four of a kind 4 0.09% 1 : 1139 99.04%
 
13 AA AA777 full house 24 0.53% 1 : 189 98.95%
14 KK KK777 full house 24 0.53% 1 : 189 98.42%
15 QQ QQ777 full house 24 0.53% 1 : 189 97.89%
16 JJ JJ777 full house 24 0.53% 1 : 189 97.37%
17 TT TT777 full house 24 0.53% 1 : 189 96.84%
18 99 99777 full house 24 0.53% 1 : 189 96.32%
19 88 88777 full house 24 0.53% 1 : 189 95.79%
20 66 77766 full house 24 0.53% 1 : 189 95.26%
21 55 77755 full house 24 0.53% 1 : 189 94.74%
22 44 77744 full house 24 0.53% 1 : 189 94.21%
23 33 77733 full house 24 0.53% 1 : 189 93.68%
24 22 77722 full house 24 0.53% 1 : 189 93.16%
 
25 AK AK777 three of a kind 64 1.40% 1 : 70.3 92.63%
26 AQ AQ777 three of a kind 64 1.40% 1 : 70.3 91.23%
27 AJ AJ777 three of a kind 64 1.40% 1 : 70.3 89.82%
28 AT AT777 three of a kind 64 1.40% 1 : 70.3 88.42%
29 A9 A9777 three of a kind 64 1.40% 1 : 70.3 87.02%
30 A8 A8777 three of a kind 64 1.40% 1 : 70.3 85.61%
31 A6 A7776 three of a kind 64 1.40% 1 : 70.3 84.21%
32 A5 A7775 three of a kind 64 1.40% 1 : 70.3 82.81%
33 A4 A7774 three of a kind 64 1.40% 1 : 70.3 81.40%
34 A3 A7773 three of a kind 64 1.40% 1 : 70.3 80.00%
35 A2 A7772 three of a kind 64 1.40% 1 : 70.3 78.60%
36 KQ KQ777 three of a kind 64 1.40% 1 : 70.3 77.19%
37 KJ KJ777 three of a kind 64 1.40% 1 : 70.3 75.79%
38 KT KT777 three of a kind 64 1.40% 1 : 70.3 74.39%
39 K9 K9777 three of a kind 64 1.40% 1 : 70.3 72.98%
40 K8 K8777 three of a kind 64 1.40% 1 : 70.3 71.58%
41 K6 K7776 three of a kind 64 1.40% 1 : 70.3 70.18%
42 K5 K7775 three of a kind 64 1.40% 1 : 70.3 68.77%
43 K4 K7774 three of a kind 64 1.40% 1 : 70.3 67.37%
44 K3 K7773 three of a kind 64 1.40% 1 : 70.3 65.96%
45 K2 K7772 three of a kind 64 1.40% 1 : 70.3 64.56%
46 QJ QJ777 three of a kind 64 1.40% 1 : 70.3 63.16%
47 QT QT777 three of a kind 64 1.40% 1 : 70.3 61.75%
48 Q9 Q9777 three of a kind 64 1.40% 1 : 70.3 60.35%
49 Q8 Q8777 three of a kind 64 1.40% 1 : 70.3 58.95%
50 Q6 Q7776 three of a kind 64 1.40% 1 : 70.3 57.54%
51 Q5 Q7775 three of a kind 64 1.40% 1 : 70.3 56.14%
52 Q4 Q7774 three of a kind 64 1.40% 1 : 70.3 54.74%
53 Q3 Q7773 three of a kind 64 1.40% 1 : 70.3 53.33%
54 Q2 Q7772 three of a kind 64 1.40% 1 : 70.3 51.93%
55 JT JT777 three of a kind 64 1.40% 1 : 70.3 50.53%
56 J9 J9777 three of a kind 64 1.40% 1 : 70.3 49.12%
57 J8 J8777 three of a kind 64 1.40% 1 : 70.3 47.72%
58 J6 J7776 three of a kind 64 1.40% 1 : 70.3 46.32%
59 J5 J7775 three of a kind 64 1.40% 1 : 70.3 44.91%
60 J4 J7774 three of a kind 64 1.40% 1 : 70.3 43.51%
61 J3 J7773 three of a kind 64 1.40% 1 : 70.3 42.11%
62 J2 J7772 three of a kind 64 1.40% 1 : 70.3 40.70%
63 T9 T9777 three of a kind 64 1.40% 1 : 70.3 39.30%
64 T8 T8777 three of a kind 64 1.40% 1 : 70.3 37.89%
65 T6 T7776 three of a kind 64 1.40% 1 : 70.3 36.49%
66 T5 T7775 three of a kind 64 1.40% 1 : 70.3 35.09%
67 T4 T7774 three of a kind 64 1.40% 1 : 70.3 33.68%
68 T3 T7773 three of a kind 64 1.40% 1 : 70.3 32.28%
69 T2 T7772 three of a kind 64 1.40% 1 : 70.3 30.88%
70 98 98777 three of a kind 64 1.40% 1 : 70.3 29.47%
71 96 97776 three of a kind 64 1.40% 1 : 70.3 28.07%
72 95 97775 three of a kind 64 1.40% 1 : 70.3 26.67%
73 94 97774 three of a kind 64 1.40% 1 : 70.3 25.26%
74 93 97773 three of a kind 64 1.40% 1 : 70.3 23.86%
75 92 97772 three of a kind 64 1.40% 1 : 70.3 22.46%
76 86 87776 three of a kind 64 1.40% 1 : 70.3 21.05%
77 85 87775 three of a kind 64 1.40% 1 : 70.3 19.65%
78 84 87774 three of a kind 64 1.40% 1 : 70.3 18.25%
79 83 87773 three of a kind 64 1.40% 1 : 70.3 16.84%
80 82 87772 three of a kind 64 1.40% 1 : 70.3 15.44%
81 65 77765 three of a kind 64 1.40% 1 : 70.3 14.04%
82 64 77764 three of a kind 64 1.40% 1 : 70.3 12.63%
83 63 77763 three of a kind 64 1.40% 1 : 70.3 11.23%
84 62 77762 three of a kind 64 1.40% 1 : 70.3 9.82%
85 54 77754 three of a kind 64 1.40% 1 : 70.3 8.42%
86 53 77753 three of a kind 64 1.40% 1 : 70.3 7.02%
87 52 77752 three of a kind 64 1.40% 1 : 70.3 5.61%
88 43 77743 three of a kind 64 1.40% 1 : 70.3 4.21%
89 42 77742 three of a kind 64 1.40% 1 : 70.3 2.81%
90 32 77732 three of a kind 64 1.40% 1 : 70.3 1.40%