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 A5 A5555 four of a kind 4 0.09% 1 : 1139 100.00%
2 K5 K5555 four of a kind 4 0.09% 1 : 1139 99.91%
3 Q5 Q5555 four of a kind 4 0.09% 1 : 1139 99.82%
4 J5 J5555 four of a kind 4 0.09% 1 : 1139 99.74%
5 T5 T5555 four of a kind 4 0.09% 1 : 1139 99.65%
6 95 95555 four of a kind 4 0.09% 1 : 1139 99.56%
7 85 85555 four of a kind 4 0.09% 1 : 1139 99.47%
8 75 75555 four of a kind 4 0.09% 1 : 1139 99.39%
9 65 65555 four of a kind 4 0.09% 1 : 1139 99.30%
10 54 55554 four of a kind 4 0.09% 1 : 1139 99.21%
11 53 55553 four of a kind 4 0.09% 1 : 1139 99.12%
12 52 55552 four of a kind 4 0.09% 1 : 1139 99.04%
 
13 AA AA555 full house 24 0.53% 1 : 189 98.95%
14 KK KK555 full house 24 0.53% 1 : 189 98.42%
15 QQ QQ555 full house 24 0.53% 1 : 189 97.89%
16 JJ JJ555 full house 24 0.53% 1 : 189 97.37%
17 TT TT555 full house 24 0.53% 1 : 189 96.84%
18 99 99555 full house 24 0.53% 1 : 189 96.32%
19 88 88555 full house 24 0.53% 1 : 189 95.79%
20 77 77555 full house 24 0.53% 1 : 189 95.26%
21 66 66555 full house 24 0.53% 1 : 189 94.74%
22 44 55544 full house 24 0.53% 1 : 189 94.21%
23 33 55533 full house 24 0.53% 1 : 189 93.68%
24 22 55522 full house 24 0.53% 1 : 189 93.16%
 
25 AK AK555 three of a kind 64 1.40% 1 : 70.3 92.63%
26 AQ AQ555 three of a kind 64 1.40% 1 : 70.3 91.23%
27 AJ AJ555 three of a kind 64 1.40% 1 : 70.3 89.82%
28 AT AT555 three of a kind 64 1.40% 1 : 70.3 88.42%
29 A9 A9555 three of a kind 64 1.40% 1 : 70.3 87.02%
30 A8 A8555 three of a kind 64 1.40% 1 : 70.3 85.61%
31 A7 A7555 three of a kind 64 1.40% 1 : 70.3 84.21%
32 A6 A6555 three of a kind 64 1.40% 1 : 70.3 82.81%
33 A4 A5554 three of a kind 64 1.40% 1 : 70.3 81.40%
34 A3 A5553 three of a kind 64 1.40% 1 : 70.3 80.00%
35 A2 A5552 three of a kind 64 1.40% 1 : 70.3 78.60%
36 KQ KQ555 three of a kind 64 1.40% 1 : 70.3 77.19%
37 KJ KJ555 three of a kind 64 1.40% 1 : 70.3 75.79%
38 KT KT555 three of a kind 64 1.40% 1 : 70.3 74.39%
39 K9 K9555 three of a kind 64 1.40% 1 : 70.3 72.98%
40 K8 K8555 three of a kind 64 1.40% 1 : 70.3 71.58%
41 K7 K7555 three of a kind 64 1.40% 1 : 70.3 70.18%
42 K6 K6555 three of a kind 64 1.40% 1 : 70.3 68.77%
43 K4 K5554 three of a kind 64 1.40% 1 : 70.3 67.37%
44 K3 K5553 three of a kind 64 1.40% 1 : 70.3 65.96%
45 K2 K5552 three of a kind 64 1.40% 1 : 70.3 64.56%
46 QJ QJ555 three of a kind 64 1.40% 1 : 70.3 63.16%
47 QT QT555 three of a kind 64 1.40% 1 : 70.3 61.75%
48 Q9 Q9555 three of a kind 64 1.40% 1 : 70.3 60.35%
49 Q8 Q8555 three of a kind 64 1.40% 1 : 70.3 58.95%
50 Q7 Q7555 three of a kind 64 1.40% 1 : 70.3 57.54%
51 Q6 Q6555 three of a kind 64 1.40% 1 : 70.3 56.14%
52 Q4 Q5554 three of a kind 64 1.40% 1 : 70.3 54.74%
53 Q3 Q5553 three of a kind 64 1.40% 1 : 70.3 53.33%
54 Q2 Q5552 three of a kind 64 1.40% 1 : 70.3 51.93%
55 JT JT555 three of a kind 64 1.40% 1 : 70.3 50.53%
56 J9 J9555 three of a kind 64 1.40% 1 : 70.3 49.12%
57 J8 J8555 three of a kind 64 1.40% 1 : 70.3 47.72%
58 J7 J7555 three of a kind 64 1.40% 1 : 70.3 46.32%
59 J6 J6555 three of a kind 64 1.40% 1 : 70.3 44.91%
60 J4 J5554 three of a kind 64 1.40% 1 : 70.3 43.51%
61 J3 J5553 three of a kind 64 1.40% 1 : 70.3 42.11%
62 J2 J5552 three of a kind 64 1.40% 1 : 70.3 40.70%
63 T9 T9555 three of a kind 64 1.40% 1 : 70.3 39.30%
64 T8 T8555 three of a kind 64 1.40% 1 : 70.3 37.89%
65 T7 T7555 three of a kind 64 1.40% 1 : 70.3 36.49%
66 T6 T6555 three of a kind 64 1.40% 1 : 70.3 35.09%
67 T4 T5554 three of a kind 64 1.40% 1 : 70.3 33.68%
68 T3 T5553 three of a kind 64 1.40% 1 : 70.3 32.28%
69 T2 T5552 three of a kind 64 1.40% 1 : 70.3 30.88%
70 98 98555 three of a kind 64 1.40% 1 : 70.3 29.47%
71 97 97555 three of a kind 64 1.40% 1 : 70.3 28.07%
72 96 96555 three of a kind 64 1.40% 1 : 70.3 26.67%
73 94 95554 three of a kind 64 1.40% 1 : 70.3 25.26%
74 93 95553 three of a kind 64 1.40% 1 : 70.3 23.86%
75 92 95552 three of a kind 64 1.40% 1 : 70.3 22.46%
76 87 87555 three of a kind 64 1.40% 1 : 70.3 21.05%
77 86 86555 three of a kind 64 1.40% 1 : 70.3 19.65%
78 84 85554 three of a kind 64 1.40% 1 : 70.3 18.25%
79 83 85553 three of a kind 64 1.40% 1 : 70.3 16.84%
80 82 85552 three of a kind 64 1.40% 1 : 70.3 15.44%
81 76 76555 three of a kind 64 1.40% 1 : 70.3 14.04%
82 74 75554 three of a kind 64 1.40% 1 : 70.3 12.63%
83 73 75553 three of a kind 64 1.40% 1 : 70.3 11.23%
84 72 75552 three of a kind 64 1.40% 1 : 70.3 9.82%
85 64 65554 three of a kind 64 1.40% 1 : 70.3 8.42%
86 63 65553 three of a kind 64 1.40% 1 : 70.3 7.02%
87 62 65552 three of a kind 64 1.40% 1 : 70.3 5.61%
88 43 55543 three of a kind 64 1.40% 1 : 70.3 4.21%
89 42 55542 three of a kind 64 1.40% 1 : 70.3 2.81%
90 32 55532 three of a kind 64 1.40% 1 : 70.3 1.40%