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 22 52222 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 55 55522 full house 24 0.10% 1 : 1043 99.98%
3 52 55222 full house 24 0.10% 1 : 1043 99.89%
 
4 A2 A5222 three of a kind 64 0.26% 1 : 390 99.79%
5 K2 K5222 three of a kind 64 0.26% 1 : 390 99.54%
6 Q2 Q5222 three of a kind 64 0.26% 1 : 390 99.28%
7 J2 J5222 three of a kind 64 0.26% 1 : 390 99.03%
8 T2 T5222 three of a kind 64 0.26% 1 : 390 98.77%
9 92 95222 three of a kind 64 0.26% 1 : 390 98.51%
10 82 85222 three of a kind 64 0.26% 1 : 390 98.26%
11 72 75222 three of a kind 64 0.26% 1 : 390 98.00%
12 62 65222 three of a kind 64 0.26% 1 : 390 97.75%
13 42 54222 three of a kind 64 0.26% 1 : 390 97.49%
14 32 53222 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA522 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK522 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ522 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ522 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT522 two pairs 144 0.57% 1 : 173 94.68%
20 99 99522 two pairs 144 0.57% 1 : 173 94.11%
21 88 88522 two pairs 144 0.57% 1 : 173 93.53%
22 77 77522 two pairs 144 0.57% 1 : 173 92.96%
23 66 66522 two pairs 144 0.57% 1 : 173 92.38%
24 A5 A5522 two pairs 144 0.57% 1 : 173 91.81%
25 K5 K5522 two pairs 144 0.57% 1 : 173 91.23%
26 Q5 Q5522 two pairs 144 0.57% 1 : 173 90.66%
27 J5 J5522 two pairs 144 0.57% 1 : 173 90.08%
28 T5 T5522 two pairs 144 0.57% 1 : 173 89.51%
29 95 95522 two pairs 144 0.57% 1 : 173 88.93%
30 85 85522 two pairs 144 0.57% 1 : 173 88.36%
31 75 75522 two pairs 144 0.57% 1 : 173 87.78%
32 65 65522 two pairs 144 0.57% 1 : 173 87.21%
33 54 55422 two pairs 144 0.57% 1 : 173 86.63%
34 53 55322 two pairs 144 0.57% 1 : 173 86.06%
35 44 54422 two pairs 144 0.57% 1 : 173 85.48%
36 33 53322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK522 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ522 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ522 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT522 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9522 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8522 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7522 one pair 384 1.53% 1 : 64.2 75.13%
44 A6 A6522 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 A5422 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 A5322 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ522 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ522 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT522 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9522 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8522 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7522 one pair 384 1.53% 1 : 64.2 61.33%
53 K6 K6522 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 K5422 one pair 384 1.53% 1 : 64.2 58.27%
55 K3 K5322 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ522 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT522 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9522 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8522 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7522 one pair 384 1.53% 1 : 64.2 49.07%
61 Q6 Q6522 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 Q5422 one pair 384 1.53% 1 : 64.2 46.00%
63 Q3 Q5322 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT522 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9522 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8522 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7522 one pair 384 1.53% 1 : 64.2 38.33%
68 J6 J6522 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 J5422 one pair 384 1.53% 1 : 64.2 35.27%
70 J3 J5322 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9522 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8522 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7522 one pair 384 1.53% 1 : 64.2 29.13%
74 T6 T6522 one pair 384 1.53% 1 : 64.2 27.60%
75 T4 T5422 one pair 384 1.53% 1 : 64.2 26.07%
76 T3 T5322 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98522 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97522 one pair 384 1.53% 1 : 64.2 21.47%
79 96 96522 one pair 384 1.53% 1 : 64.2 19.93%
80 94 95422 one pair 384 1.53% 1 : 64.2 18.40%
81 93 95322 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87522 one pair 384 1.53% 1 : 64.2 15.33%
83 86 86522 one pair 384 1.53% 1 : 64.2 13.80%
84 84 85422 one pair 384 1.53% 1 : 64.2 12.27%
85 83 85322 one pair 384 1.53% 1 : 64.2 10.73%
86 76 76522 one pair 384 1.53% 1 : 64.2 9.20%
87 74 75422 one pair 384 1.53% 1 : 64.2 7.67%
88 73 75322 one pair 384 1.53% 1 : 64.2 6.13%
89 64 65422 one pair 384 1.53% 1 : 64.2 4.60%
90 63 65322 one pair 384 1.53% 1 : 64.2 3.07%
91 43 54322 one pair 384 1.53% 1 : 64.2 1.53%