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 55 55552 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 52 55522 full house 24 0.10% 1 : 1043 99.98%
3 22 55222 full house 24 0.10% 1 : 1043 99.89%
 
4 A5 A5552 three of a kind 64 0.26% 1 : 390 99.79%
5 K5 K5552 three of a kind 64 0.26% 1 : 390 99.54%
6 Q5 Q5552 three of a kind 64 0.26% 1 : 390 99.28%
7 J5 J5552 three of a kind 64 0.26% 1 : 390 99.03%
8 T5 T5552 three of a kind 64 0.26% 1 : 390 98.77%
9 95 95552 three of a kind 64 0.26% 1 : 390 98.51%
10 85 85552 three of a kind 64 0.26% 1 : 390 98.26%
11 75 75552 three of a kind 64 0.26% 1 : 390 98.00%
12 65 65552 three of a kind 64 0.26% 1 : 390 97.75%
13 54 55542 three of a kind 64 0.26% 1 : 390 97.49%
14 53 55532 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA552 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK552 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ552 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ552 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT552 two pairs 144 0.57% 1 : 173 94.68%
20 99 99552 two pairs 144 0.57% 1 : 173 94.11%
21 88 88552 two pairs 144 0.57% 1 : 173 93.53%
22 77 77552 two pairs 144 0.57% 1 : 173 92.96%
23 66 66552 two pairs 144 0.57% 1 : 173 92.38%
24 44 55442 two pairs 144 0.57% 1 : 173 91.81%
25 33 55332 two pairs 144 0.57% 1 : 173 91.23%
26 A2 A5522 two pairs 144 0.57% 1 : 173 90.66%
27 K2 K5522 two pairs 144 0.57% 1 : 173 90.08%
28 Q2 Q5522 two pairs 144 0.57% 1 : 173 89.51%
29 J2 J5522 two pairs 144 0.57% 1 : 173 88.93%
30 T2 T5522 two pairs 144 0.57% 1 : 173 88.36%
31 92 95522 two pairs 144 0.57% 1 : 173 87.78%
32 82 85522 two pairs 144 0.57% 1 : 173 87.21%
33 72 75522 two pairs 144 0.57% 1 : 173 86.63%
34 62 65522 two pairs 144 0.57% 1 : 173 86.06%
35 42 55422 two pairs 144 0.57% 1 : 173 85.48%
36 32 55322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK552 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ552 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ552 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT552 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9552 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8552 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7552 one pair 384 1.53% 1 : 64.2 75.13%
44 A6 A6552 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 A5542 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 A5532 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ552 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ552 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT552 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9552 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8552 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7552 one pair 384 1.53% 1 : 64.2 61.33%
53 K6 K6552 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 K5542 one pair 384 1.53% 1 : 64.2 58.27%
55 K3 K5532 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ552 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT552 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9552 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8552 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7552 one pair 384 1.53% 1 : 64.2 49.07%
61 Q6 Q6552 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 Q5542 one pair 384 1.53% 1 : 64.2 46.00%
63 Q3 Q5532 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT552 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9552 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8552 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7552 one pair 384 1.53% 1 : 64.2 38.33%
68 J6 J6552 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 J5542 one pair 384 1.53% 1 : 64.2 35.27%
70 J3 J5532 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9552 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8552 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7552 one pair 384 1.53% 1 : 64.2 29.13%
74 T6 T6552 one pair 384 1.53% 1 : 64.2 27.60%
75 T4 T5542 one pair 384 1.53% 1 : 64.2 26.07%
76 T3 T5532 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98552 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97552 one pair 384 1.53% 1 : 64.2 21.47%
79 96 96552 one pair 384 1.53% 1 : 64.2 19.93%
80 94 95542 one pair 384 1.53% 1 : 64.2 18.40%
81 93 95532 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87552 one pair 384 1.53% 1 : 64.2 15.33%
83 86 86552 one pair 384 1.53% 1 : 64.2 13.80%
84 84 85542 one pair 384 1.53% 1 : 64.2 12.27%
85 83 85532 one pair 384 1.53% 1 : 64.2 10.73%
86 76 76552 one pair 384 1.53% 1 : 64.2 9.20%
87 74 75542 one pair 384 1.53% 1 : 64.2 7.67%
88 73 75532 one pair 384 1.53% 1 : 64.2 6.13%
89 64 65542 one pair 384 1.53% 1 : 64.2 4.60%
90 63 65532 one pair 384 1.53% 1 : 64.2 3.07%
91 43 55432 one pair 384 1.53% 1 : 64.2 1.53%