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 88 88885 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 85 88855 full house 24 0.10% 1 : 1043 99.98%
3 55 88555 full house 24 0.10% 1 : 1043 99.89%
 
4 A8 A8885 three of a kind 64 0.26% 1 : 390 99.79%
5 K8 K8885 three of a kind 64 0.26% 1 : 390 99.54%
6 Q8 Q8885 three of a kind 64 0.26% 1 : 390 99.28%
7 J8 J8885 three of a kind 64 0.26% 1 : 390 99.03%
8 T8 T8885 three of a kind 64 0.26% 1 : 390 98.77%
9 98 98885 three of a kind 64 0.26% 1 : 390 98.51%
10 87 88875 three of a kind 64 0.26% 1 : 390 98.26%
11 86 88865 three of a kind 64 0.26% 1 : 390 98.00%
12 84 88854 three of a kind 64 0.26% 1 : 390 97.75%
13 83 88853 three of a kind 64 0.26% 1 : 390 97.49%
14 82 88852 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA885 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK885 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ885 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ885 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT885 two pairs 144 0.57% 1 : 173 94.68%
20 99 99885 two pairs 144 0.57% 1 : 173 94.11%
21 77 88775 two pairs 144 0.57% 1 : 173 93.53%
22 66 88665 two pairs 144 0.57% 1 : 173 92.96%
23 A5 A8855 two pairs 144 0.57% 1 : 173 92.38%
24 K5 K8855 two pairs 144 0.57% 1 : 173 91.81%
25 Q5 Q8855 two pairs 144 0.57% 1 : 173 91.23%
26 J5 J8855 two pairs 144 0.57% 1 : 173 90.66%
27 T5 T8855 two pairs 144 0.57% 1 : 173 90.08%
28 95 98855 two pairs 144 0.57% 1 : 173 89.51%
29 75 88755 two pairs 144 0.57% 1 : 173 88.93%
30 65 88655 two pairs 144 0.57% 1 : 173 88.36%
31 54 88554 two pairs 144 0.57% 1 : 173 87.78%
32 53 88553 two pairs 144 0.57% 1 : 173 87.21%
33 52 88552 two pairs 144 0.57% 1 : 173 86.63%
34 44 88544 two pairs 144 0.57% 1 : 173 86.06%
35 33 88533 two pairs 144 0.57% 1 : 173 85.48%
36 22 88522 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK885 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ885 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ885 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT885 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9885 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A8875 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A8865 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A8854 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A8853 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A8852 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ885 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ885 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT885 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9885 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K8875 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K8865 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K8854 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K8853 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K8852 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ885 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT885 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9885 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q8875 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q8865 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q8854 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q8853 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q8852 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT885 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9885 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J8875 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J8865 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J8854 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J8853 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J8852 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9885 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T8875 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T8865 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T8854 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T8853 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T8852 one pair 384 1.53% 1 : 64.2 24.53%
77 97 98875 one pair 384 1.53% 1 : 64.2 23.00%
78 96 98865 one pair 384 1.53% 1 : 64.2 21.47%
79 94 98854 one pair 384 1.53% 1 : 64.2 19.93%
80 93 98853 one pair 384 1.53% 1 : 64.2 18.40%
81 92 98852 one pair 384 1.53% 1 : 64.2 16.87%
82 76 88765 one pair 384 1.53% 1 : 64.2 15.33%
83 74 88754 one pair 384 1.53% 1 : 64.2 13.80%
84 73 88753 one pair 384 1.53% 1 : 64.2 12.27%
85 72 88752 one pair 384 1.53% 1 : 64.2 10.73%
86 64 88654 one pair 384 1.53% 1 : 64.2 9.20%
87 63 88653 one pair 384 1.53% 1 : 64.2 7.67%
88 62 88652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 88543 one pair 384 1.53% 1 : 64.2 4.60%
90 42 88542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 88532 one pair 384 1.53% 1 : 64.2 1.53%