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 88887 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 87 88877 full house 24 0.10% 1 : 1043 99.98%
3 77 88777 full house 24 0.10% 1 : 1043 99.89%
 
4 A8 A8887 three of a kind 64 0.26% 1 : 390 99.79%
5 K8 K8887 three of a kind 64 0.26% 1 : 390 99.54%
6 Q8 Q8887 three of a kind 64 0.26% 1 : 390 99.28%
7 J8 J8887 three of a kind 64 0.26% 1 : 390 99.03%
8 T8 T8887 three of a kind 64 0.26% 1 : 390 98.77%
9 98 98887 three of a kind 64 0.26% 1 : 390 98.51%
10 86 88876 three of a kind 64 0.26% 1 : 390 98.26%
11 85 88875 three of a kind 64 0.26% 1 : 390 98.00%
12 84 88874 three of a kind 64 0.26% 1 : 390 97.75%
13 83 88873 three of a kind 64 0.26% 1 : 390 97.49%
14 82 88872 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA887 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK887 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ887 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ887 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT887 two pairs 144 0.57% 1 : 173 94.68%
20 99 99887 two pairs 144 0.57% 1 : 173 94.11%
21 A7 A8877 two pairs 144 0.57% 1 : 173 93.53%
22 K7 K8877 two pairs 144 0.57% 1 : 173 92.96%
23 Q7 Q8877 two pairs 144 0.57% 1 : 173 92.38%
24 J7 J8877 two pairs 144 0.57% 1 : 173 91.81%
25 T7 T8877 two pairs 144 0.57% 1 : 173 91.23%
26 97 98877 two pairs 144 0.57% 1 : 173 90.66%
27 76 88776 two pairs 144 0.57% 1 : 173 90.08%
28 75 88775 two pairs 144 0.57% 1 : 173 89.51%
29 74 88774 two pairs 144 0.57% 1 : 173 88.93%
30 73 88773 two pairs 144 0.57% 1 : 173 88.36%
31 72 88772 two pairs 144 0.57% 1 : 173 87.78%
32 66 88766 two pairs 144 0.57% 1 : 173 87.21%
33 55 88755 two pairs 144 0.57% 1 : 173 86.63%
34 44 88744 two pairs 144 0.57% 1 : 173 86.06%
35 33 88733 two pairs 144 0.57% 1 : 173 85.48%
36 22 88722 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK887 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ887 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ887 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT887 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9887 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 A8876 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 A8875 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A8874 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A8873 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A8872 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ887 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ887 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT887 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9887 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 K8876 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 K8875 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K8874 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K8873 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K8872 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ887 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT887 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9887 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 Q8876 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 Q8875 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q8874 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q8873 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q8872 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT887 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9887 one pair 384 1.53% 1 : 64.2 41.40%
66 J6 J8876 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 J8875 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J8874 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J8873 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J8872 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9887 one pair 384 1.53% 1 : 64.2 32.20%
72 T6 T8876 one pair 384 1.53% 1 : 64.2 30.67%
73 T5 T8875 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T8874 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T8873 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T8872 one pair 384 1.53% 1 : 64.2 24.53%
77 96 98876 one pair 384 1.53% 1 : 64.2 23.00%
78 95 98875 one pair 384 1.53% 1 : 64.2 21.47%
79 94 98874 one pair 384 1.53% 1 : 64.2 19.93%
80 93 98873 one pair 384 1.53% 1 : 64.2 18.40%
81 92 98872 one pair 384 1.53% 1 : 64.2 16.87%
82 65 88765 one pair 384 1.53% 1 : 64.2 15.33%
83 64 88764 one pair 384 1.53% 1 : 64.2 13.80%
84 63 88763 one pair 384 1.53% 1 : 64.2 12.27%
85 62 88762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 88754 one pair 384 1.53% 1 : 64.2 9.20%
87 53 88753 one pair 384 1.53% 1 : 64.2 7.67%
88 52 88752 one pair 384 1.53% 1 : 64.2 6.13%
89 43 88743 one pair 384 1.53% 1 : 64.2 4.60%
90 42 88742 one pair 384 1.53% 1 : 64.2 3.07%
91 32 88732 one pair 384 1.53% 1 : 64.2 1.53%