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 AKKKK four of a kind 4 0.09% 1 : 1139 100.00%
2 KQ KKKKQ four of a kind 4 0.09% 1 : 1139 99.91%
3 KJ KKKKJ four of a kind 4 0.09% 1 : 1139 99.82%
4 KT KKKKT four of a kind 4 0.09% 1 : 1139 99.74%
5 K9 KKKK9 four of a kind 4 0.09% 1 : 1139 99.65%
6 K8 KKKK8 four of a kind 4 0.09% 1 : 1139 99.56%
7 K7 KKKK7 four of a kind 4 0.09% 1 : 1139 99.47%
8 K6 KKKK6 four of a kind 4 0.09% 1 : 1139 99.39%
9 K5 KKKK5 four of a kind 4 0.09% 1 : 1139 99.30%
10 K4 KKKK4 four of a kind 4 0.09% 1 : 1139 99.21%
11 K3 KKKK3 four of a kind 4 0.09% 1 : 1139 99.12%
12 K2 KKKK2 four of a kind 4 0.09% 1 : 1139 99.04%
 
13 AA AAKKK full house 24 0.53% 1 : 189 98.95%
14 QQ KKKQQ full house 24 0.53% 1 : 189 98.42%
15 JJ KKKJJ full house 24 0.53% 1 : 189 97.89%
16 TT KKKTT full house 24 0.53% 1 : 189 97.37%
17 99 KKK99 full house 24 0.53% 1 : 189 96.84%
18 88 KKK88 full house 24 0.53% 1 : 189 96.32%
19 77 KKK77 full house 24 0.53% 1 : 189 95.79%
20 66 KKK66 full house 24 0.53% 1 : 189 95.26%
21 55 KKK55 full house 24 0.53% 1 : 189 94.74%
22 44 KKK44 full house 24 0.53% 1 : 189 94.21%
23 33 KKK33 full house 24 0.53% 1 : 189 93.68%
24 22 KKK22 full house 24 0.53% 1 : 189 93.16%
 
25 AQ AKKKQ three of a kind 64 1.40% 1 : 70.3 92.63%
26 AJ AKKKJ three of a kind 64 1.40% 1 : 70.3 91.23%
27 AT AKKKT three of a kind 64 1.40% 1 : 70.3 89.82%
28 A9 AKKK9 three of a kind 64 1.40% 1 : 70.3 88.42%
29 A8 AKKK8 three of a kind 64 1.40% 1 : 70.3 87.02%
30 A7 AKKK7 three of a kind 64 1.40% 1 : 70.3 85.61%
31 A6 AKKK6 three of a kind 64 1.40% 1 : 70.3 84.21%
32 A5 AKKK5 three of a kind 64 1.40% 1 : 70.3 82.81%
33 A4 AKKK4 three of a kind 64 1.40% 1 : 70.3 81.40%
34 A3 AKKK3 three of a kind 64 1.40% 1 : 70.3 80.00%
35 A2 AKKK2 three of a kind 64 1.40% 1 : 70.3 78.60%
36 QJ KKKQJ three of a kind 64 1.40% 1 : 70.3 77.19%
37 QT KKKQT three of a kind 64 1.40% 1 : 70.3 75.79%
38 Q9 KKKQ9 three of a kind 64 1.40% 1 : 70.3 74.39%
39 Q8 KKKQ8 three of a kind 64 1.40% 1 : 70.3 72.98%
40 Q7 KKKQ7 three of a kind 64 1.40% 1 : 70.3 71.58%
41 Q6 KKKQ6 three of a kind 64 1.40% 1 : 70.3 70.18%
42 Q5 KKKQ5 three of a kind 64 1.40% 1 : 70.3 68.77%
43 Q4 KKKQ4 three of a kind 64 1.40% 1 : 70.3 67.37%
44 Q3 KKKQ3 three of a kind 64 1.40% 1 : 70.3 65.96%
45 Q2 KKKQ2 three of a kind 64 1.40% 1 : 70.3 64.56%
46 JT KKKJT three of a kind 64 1.40% 1 : 70.3 63.16%
47 J9 KKKJ9 three of a kind 64 1.40% 1 : 70.3 61.75%
48 J8 KKKJ8 three of a kind 64 1.40% 1 : 70.3 60.35%
49 J7 KKKJ7 three of a kind 64 1.40% 1 : 70.3 58.95%
50 J6 KKKJ6 three of a kind 64 1.40% 1 : 70.3 57.54%
51 J5 KKKJ5 three of a kind 64 1.40% 1 : 70.3 56.14%
52 J4 KKKJ4 three of a kind 64 1.40% 1 : 70.3 54.74%
53 J3 KKKJ3 three of a kind 64 1.40% 1 : 70.3 53.33%
54 J2 KKKJ2 three of a kind 64 1.40% 1 : 70.3 51.93%
55 T9 KKKT9 three of a kind 64 1.40% 1 : 70.3 50.53%
56 T8 KKKT8 three of a kind 64 1.40% 1 : 70.3 49.12%
57 T7 KKKT7 three of a kind 64 1.40% 1 : 70.3 47.72%
58 T6 KKKT6 three of a kind 64 1.40% 1 : 70.3 46.32%
59 T5 KKKT5 three of a kind 64 1.40% 1 : 70.3 44.91%
60 T4 KKKT4 three of a kind 64 1.40% 1 : 70.3 43.51%
61 T3 KKKT3 three of a kind 64 1.40% 1 : 70.3 42.11%
62 T2 KKKT2 three of a kind 64 1.40% 1 : 70.3 40.70%
63 98 KKK98 three of a kind 64 1.40% 1 : 70.3 39.30%
64 97 KKK97 three of a kind 64 1.40% 1 : 70.3 37.89%
65 96 KKK96 three of a kind 64 1.40% 1 : 70.3 36.49%
66 95 KKK95 three of a kind 64 1.40% 1 : 70.3 35.09%
67 94 KKK94 three of a kind 64 1.40% 1 : 70.3 33.68%
68 93 KKK93 three of a kind 64 1.40% 1 : 70.3 32.28%
69 92 KKK92 three of a kind 64 1.40% 1 : 70.3 30.88%
70 87 KKK87 three of a kind 64 1.40% 1 : 70.3 29.47%
71 86 KKK86 three of a kind 64 1.40% 1 : 70.3 28.07%
72 85 KKK85 three of a kind 64 1.40% 1 : 70.3 26.67%
73 84 KKK84 three of a kind 64 1.40% 1 : 70.3 25.26%
74 83 KKK83 three of a kind 64 1.40% 1 : 70.3 23.86%
75 82 KKK82 three of a kind 64 1.40% 1 : 70.3 22.46%
76 76 KKK76 three of a kind 64 1.40% 1 : 70.3 21.05%
77 75 KKK75 three of a kind 64 1.40% 1 : 70.3 19.65%
78 74 KKK74 three of a kind 64 1.40% 1 : 70.3 18.25%
79 73 KKK73 three of a kind 64 1.40% 1 : 70.3 16.84%
80 72 KKK72 three of a kind 64 1.40% 1 : 70.3 15.44%
81 65 KKK65 three of a kind 64 1.40% 1 : 70.3 14.04%
82 64 KKK64 three of a kind 64 1.40% 1 : 70.3 12.63%
83 63 KKK63 three of a kind 64 1.40% 1 : 70.3 11.23%
84 62 KKK62 three of a kind 64 1.40% 1 : 70.3 9.82%
85 54 KKK54 three of a kind 64 1.40% 1 : 70.3 8.42%
86 53 KKK53 three of a kind 64 1.40% 1 : 70.3 7.02%
87 52 KKK52 three of a kind 64 1.40% 1 : 70.3 5.61%
88 43 KKK43 three of a kind 64 1.40% 1 : 70.3 4.21%
89 42 KKK42 three of a kind 64 1.40% 1 : 70.3 2.81%
90 32 KKK32 three of a kind 64 1.40% 1 : 70.3 1.40%