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 1 4 0.02% 1 : 6260
full house 2 48 0.19% 1 : 521
flush 0 0 impossible impossible
straight 0 0 impossible impossible
three of a kind 11 704 2.81% 1 : 34.6
two pairs 22 3,168 12.65% 1 : 6.91
one pair 55 21,120 84.33% 5.38 : 1
high card 0 0 impossible impossible
total 91 25,044 100 %



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 91 distinct hole cards
hole cards hand category combinations probability odds equity
nuts AA AAAA5 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 A5 AAA55 full house 24 0.10% 1 : 1043 99.98%
3 55 AA555 full house 24 0.10% 1 : 1043 99.89%
 
4 AK AAAK5 three of a kind 64 0.26% 1 : 390 99.79%
5 AQ AAAQ5 three of a kind 64 0.26% 1 : 390 99.54%
6 AJ AAAJ5 three of a kind 64 0.26% 1 : 390 99.28%
7 AT AAAT5 three of a kind 64 0.26% 1 : 390 99.03%
8 A9 AAA95 three of a kind 64 0.26% 1 : 390 98.77%
9 A8 AAA85 three of a kind 64 0.26% 1 : 390 98.51%
10 A7 AAA75 three of a kind 64 0.26% 1 : 390 98.26%
11 A6 AAA65 three of a kind 64 0.26% 1 : 390 98.00%
12 A4 AAA54 three of a kind 64 0.26% 1 : 390 97.75%
13 A3 AAA53 three of a kind 64 0.26% 1 : 390 97.49%
14 A2 AAA52 three of a kind 64 0.26% 1 : 390 97.24%
 
15 KK AAKK5 two pairs 144 0.57% 1 : 173 96.98%
16 QQ AAQQ5 two pairs 144 0.57% 1 : 173 96.41%
17 JJ AAJJ5 two pairs 144 0.57% 1 : 173 95.83%
18 TT AATT5 two pairs 144 0.57% 1 : 173 95.26%
19 99 AA995 two pairs 144 0.57% 1 : 173 94.68%
20 88 AA885 two pairs 144 0.57% 1 : 173 94.11%
21 77 AA775 two pairs 144 0.57% 1 : 173 93.53%
22 66 AA665 two pairs 144 0.57% 1 : 173 92.96%
23 K5 AAK55 two pairs 144 0.57% 1 : 173 92.38%
24 Q5 AAQ55 two pairs 144 0.57% 1 : 173 91.81%
25 J5 AAJ55 two pairs 144 0.57% 1 : 173 91.23%
26 T5 AAT55 two pairs 144 0.57% 1 : 173 90.66%
27 95 AA955 two pairs 144 0.57% 1 : 173 90.08%
28 85 AA855 two pairs 144 0.57% 1 : 173 89.51%
29 75 AA755 two pairs 144 0.57% 1 : 173 88.93%
30 65 AA655 two pairs 144 0.57% 1 : 173 88.36%
31 54 AA554 two pairs 144 0.57% 1 : 173 87.78%
32 53 AA553 two pairs 144 0.57% 1 : 173 87.21%
33 52 AA552 two pairs 144 0.57% 1 : 173 86.63%
34 44 AA544 two pairs 144 0.57% 1 : 173 86.06%
35 33 AA533 two pairs 144 0.57% 1 : 173 85.48%
36 22 AA522 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AAKQ5 one pair 384 1.53% 1 : 64.2 84.33%
38 KJ AAKJ5 one pair 384 1.53% 1 : 64.2 82.80%
39 KT AAKT5 one pair 384 1.53% 1 : 64.2 81.26%
40 K9 AAK95 one pair 384 1.53% 1 : 64.2 79.73%
41 K8 AAK85 one pair 384 1.53% 1 : 64.2 78.20%
42 K7 AAK75 one pair 384 1.53% 1 : 64.2 76.67%
43 K6 AAK65 one pair 384 1.53% 1 : 64.2 75.13%
44 K4 AAK54 one pair 384 1.53% 1 : 64.2 73.60%
45 K3 AAK53 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AAK52 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ AAQJ5 one pair 384 1.53% 1 : 64.2 69.00%
48 QT AAQT5 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 AAQ95 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 AAQ85 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 AAQ75 one pair 384 1.53% 1 : 64.2 62.87%
52 Q6 AAQ65 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 AAQ54 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 AAQ53 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 AAQ52 one pair 384 1.53% 1 : 64.2 56.73%
56 JT AAJT5 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 AAJ95 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 AAJ85 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 AAJ75 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 AAJ65 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 AAJ54 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 AAJ53 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 AAJ52 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 AAT95 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 AAT85 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 AAT75 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 AAT65 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 AAT54 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 AAT53 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 AAT52 one pair 384 1.53% 1 : 64.2 33.73%
71 98 AA985 one pair 384 1.53% 1 : 64.2 32.20%
72 97 AA975 one pair 384 1.53% 1 : 64.2 30.67%
73 96 AA965 one pair 384 1.53% 1 : 64.2 29.13%
74 94 AA954 one pair 384 1.53% 1 : 64.2 27.60%
75 93 AA953 one pair 384 1.53% 1 : 64.2 26.07%
76 92 AA952 one pair 384 1.53% 1 : 64.2 24.53%
77 87 AA875 one pair 384 1.53% 1 : 64.2 23.00%
78 86 AA865 one pair 384 1.53% 1 : 64.2 21.47%
79 84 AA854 one pair 384 1.53% 1 : 64.2 19.93%
80 83 AA853 one pair 384 1.53% 1 : 64.2 18.40%
81 82 AA852 one pair 384 1.53% 1 : 64.2 16.87%
82 76 AA765 one pair 384 1.53% 1 : 64.2 15.33%
83 74 AA754 one pair 384 1.53% 1 : 64.2 13.80%
84 73 AA753 one pair 384 1.53% 1 : 64.2 12.27%
85 72 AA752 one pair 384 1.53% 1 : 64.2 10.73%
86 64 AA654 one pair 384 1.53% 1 : 64.2 9.20%
87 63 AA653 one pair 384 1.53% 1 : 64.2 7.67%
88 62 AA652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 AA543 one pair 384 1.53% 1 : 64.2 4.60%
90 42 AA542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 AA532 one pair 384 1.53% 1 : 64.2 1.53%