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 A6 A6666 four of a kind 4 0.09% 1 : 1139 100.00%
2 K6 K6666 four of a kind 4 0.09% 1 : 1139 99.91%
3 Q6 Q6666 four of a kind 4 0.09% 1 : 1139 99.82%
4 J6 J6666 four of a kind 4 0.09% 1 : 1139 99.74%
5 T6 T6666 four of a kind 4 0.09% 1 : 1139 99.65%
6 96 96666 four of a kind 4 0.09% 1 : 1139 99.56%
7 86 86666 four of a kind 4 0.09% 1 : 1139 99.47%
8 76 76666 four of a kind 4 0.09% 1 : 1139 99.39%
9 65 66665 four of a kind 4 0.09% 1 : 1139 99.30%
10 64 66664 four of a kind 4 0.09% 1 : 1139 99.21%
11 63 66663 four of a kind 4 0.09% 1 : 1139 99.12%
12 62 66662 four of a kind 4 0.09% 1 : 1139 99.04%
 
13 AA AA666 full house 24 0.53% 1 : 189 98.95%
14 KK KK666 full house 24 0.53% 1 : 189 98.42%
15 QQ QQ666 full house 24 0.53% 1 : 189 97.89%
16 JJ JJ666 full house 24 0.53% 1 : 189 97.37%
17 TT TT666 full house 24 0.53% 1 : 189 96.84%
18 99 99666 full house 24 0.53% 1 : 189 96.32%
19 88 88666 full house 24 0.53% 1 : 189 95.79%
20 77 77666 full house 24 0.53% 1 : 189 95.26%
21 55 66655 full house 24 0.53% 1 : 189 94.74%
22 44 66644 full house 24 0.53% 1 : 189 94.21%
23 33 66633 full house 24 0.53% 1 : 189 93.68%
24 22 66622 full house 24 0.53% 1 : 189 93.16%
 
25 AK AK666 three of a kind 64 1.40% 1 : 70.3 92.63%
26 AQ AQ666 three of a kind 64 1.40% 1 : 70.3 91.23%
27 AJ AJ666 three of a kind 64 1.40% 1 : 70.3 89.82%
28 AT AT666 three of a kind 64 1.40% 1 : 70.3 88.42%
29 A9 A9666 three of a kind 64 1.40% 1 : 70.3 87.02%
30 A8 A8666 three of a kind 64 1.40% 1 : 70.3 85.61%
31 A7 A7666 three of a kind 64 1.40% 1 : 70.3 84.21%
32 A5 A6665 three of a kind 64 1.40% 1 : 70.3 82.81%
33 A4 A6664 three of a kind 64 1.40% 1 : 70.3 81.40%
34 A3 A6663 three of a kind 64 1.40% 1 : 70.3 80.00%
35 A2 A6662 three of a kind 64 1.40% 1 : 70.3 78.60%
36 KQ KQ666 three of a kind 64 1.40% 1 : 70.3 77.19%
37 KJ KJ666 three of a kind 64 1.40% 1 : 70.3 75.79%
38 KT KT666 three of a kind 64 1.40% 1 : 70.3 74.39%
39 K9 K9666 three of a kind 64 1.40% 1 : 70.3 72.98%
40 K8 K8666 three of a kind 64 1.40% 1 : 70.3 71.58%
41 K7 K7666 three of a kind 64 1.40% 1 : 70.3 70.18%
42 K5 K6665 three of a kind 64 1.40% 1 : 70.3 68.77%
43 K4 K6664 three of a kind 64 1.40% 1 : 70.3 67.37%
44 K3 K6663 three of a kind 64 1.40% 1 : 70.3 65.96%
45 K2 K6662 three of a kind 64 1.40% 1 : 70.3 64.56%
46 QJ QJ666 three of a kind 64 1.40% 1 : 70.3 63.16%
47 QT QT666 three of a kind 64 1.40% 1 : 70.3 61.75%
48 Q9 Q9666 three of a kind 64 1.40% 1 : 70.3 60.35%
49 Q8 Q8666 three of a kind 64 1.40% 1 : 70.3 58.95%
50 Q7 Q7666 three of a kind 64 1.40% 1 : 70.3 57.54%
51 Q5 Q6665 three of a kind 64 1.40% 1 : 70.3 56.14%
52 Q4 Q6664 three of a kind 64 1.40% 1 : 70.3 54.74%
53 Q3 Q6663 three of a kind 64 1.40% 1 : 70.3 53.33%
54 Q2 Q6662 three of a kind 64 1.40% 1 : 70.3 51.93%
55 JT JT666 three of a kind 64 1.40% 1 : 70.3 50.53%
56 J9 J9666 three of a kind 64 1.40% 1 : 70.3 49.12%
57 J8 J8666 three of a kind 64 1.40% 1 : 70.3 47.72%
58 J7 J7666 three of a kind 64 1.40% 1 : 70.3 46.32%
59 J5 J6665 three of a kind 64 1.40% 1 : 70.3 44.91%
60 J4 J6664 three of a kind 64 1.40% 1 : 70.3 43.51%
61 J3 J6663 three of a kind 64 1.40% 1 : 70.3 42.11%
62 J2 J6662 three of a kind 64 1.40% 1 : 70.3 40.70%
63 T9 T9666 three of a kind 64 1.40% 1 : 70.3 39.30%
64 T8 T8666 three of a kind 64 1.40% 1 : 70.3 37.89%
65 T7 T7666 three of a kind 64 1.40% 1 : 70.3 36.49%
66 T5 T6665 three of a kind 64 1.40% 1 : 70.3 35.09%
67 T4 T6664 three of a kind 64 1.40% 1 : 70.3 33.68%
68 T3 T6663 three of a kind 64 1.40% 1 : 70.3 32.28%
69 T2 T6662 three of a kind 64 1.40% 1 : 70.3 30.88%
70 98 98666 three of a kind 64 1.40% 1 : 70.3 29.47%
71 97 97666 three of a kind 64 1.40% 1 : 70.3 28.07%
72 95 96665 three of a kind 64 1.40% 1 : 70.3 26.67%
73 94 96664 three of a kind 64 1.40% 1 : 70.3 25.26%
74 93 96663 three of a kind 64 1.40% 1 : 70.3 23.86%
75 92 96662 three of a kind 64 1.40% 1 : 70.3 22.46%
76 87 87666 three of a kind 64 1.40% 1 : 70.3 21.05%
77 85 86665 three of a kind 64 1.40% 1 : 70.3 19.65%
78 84 86664 three of a kind 64 1.40% 1 : 70.3 18.25%
79 83 86663 three of a kind 64 1.40% 1 : 70.3 16.84%
80 82 86662 three of a kind 64 1.40% 1 : 70.3 15.44%
81 75 76665 three of a kind 64 1.40% 1 : 70.3 14.04%
82 74 76664 three of a kind 64 1.40% 1 : 70.3 12.63%
83 73 76663 three of a kind 64 1.40% 1 : 70.3 11.23%
84 72 76662 three of a kind 64 1.40% 1 : 70.3 9.82%
85 54 66654 three of a kind 64 1.40% 1 : 70.3 8.42%
86 53 66653 three of a kind 64 1.40% 1 : 70.3 7.02%
87 52 66652 three of a kind 64 1.40% 1 : 70.3 5.61%
88 43 66643 three of a kind 64 1.40% 1 : 70.3 4.21%
89 42 66642 three of a kind 64 1.40% 1 : 70.3 2.81%
90 32 66632 three of a kind 64 1.40% 1 : 70.3 1.40%