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 33 53333 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 55 55533 full house 24 0.10% 1 : 1043 99.98%
3 53 55333 full house 24 0.10% 1 : 1043 99.89%
 
4 A3 A5333 three of a kind 64 0.26% 1 : 390 99.79%
5 K3 K5333 three of a kind 64 0.26% 1 : 390 99.54%
6 Q3 Q5333 three of a kind 64 0.26% 1 : 390 99.28%
7 J3 J5333 three of a kind 64 0.26% 1 : 390 99.03%
8 T3 T5333 three of a kind 64 0.26% 1 : 390 98.77%
9 93 95333 three of a kind 64 0.26% 1 : 390 98.51%
10 83 85333 three of a kind 64 0.26% 1 : 390 98.26%
11 73 75333 three of a kind 64 0.26% 1 : 390 98.00%
12 63 65333 three of a kind 64 0.26% 1 : 390 97.75%
13 43 54333 three of a kind 64 0.26% 1 : 390 97.49%
14 32 53332 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA533 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK533 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ533 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ533 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT533 two pairs 144 0.57% 1 : 173 94.68%
20 99 99533 two pairs 144 0.57% 1 : 173 94.11%
21 88 88533 two pairs 144 0.57% 1 : 173 93.53%
22 77 77533 two pairs 144 0.57% 1 : 173 92.96%
23 66 66533 two pairs 144 0.57% 1 : 173 92.38%
24 A5 A5533 two pairs 144 0.57% 1 : 173 91.81%
25 K5 K5533 two pairs 144 0.57% 1 : 173 91.23%
26 Q5 Q5533 two pairs 144 0.57% 1 : 173 90.66%
27 J5 J5533 two pairs 144 0.57% 1 : 173 90.08%
28 T5 T5533 two pairs 144 0.57% 1 : 173 89.51%
29 95 95533 two pairs 144 0.57% 1 : 173 88.93%
30 85 85533 two pairs 144 0.57% 1 : 173 88.36%
31 75 75533 two pairs 144 0.57% 1 : 173 87.78%
32 65 65533 two pairs 144 0.57% 1 : 173 87.21%
33 54 55433 two pairs 144 0.57% 1 : 173 86.63%
34 52 55332 two pairs 144 0.57% 1 : 173 86.06%
35 44 54433 two pairs 144 0.57% 1 : 173 85.48%
36 22 53322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK533 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ533 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ533 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT533 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9533 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8533 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7533 one pair 384 1.53% 1 : 64.2 75.13%
44 A6 A6533 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 A5433 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A5332 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ533 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ533 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT533 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9533 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8533 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7533 one pair 384 1.53% 1 : 64.2 61.33%
53 K6 K6533 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 K5433 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K5332 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ533 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT533 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9533 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8533 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7533 one pair 384 1.53% 1 : 64.2 49.07%
61 Q6 Q6533 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 Q5433 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q5332 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT533 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9533 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8533 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7533 one pair 384 1.53% 1 : 64.2 38.33%
68 J6 J6533 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 J5433 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J5332 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9533 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8533 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7533 one pair 384 1.53% 1 : 64.2 29.13%
74 T6 T6533 one pair 384 1.53% 1 : 64.2 27.60%
75 T4 T5433 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T5332 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98533 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97533 one pair 384 1.53% 1 : 64.2 21.47%
79 96 96533 one pair 384 1.53% 1 : 64.2 19.93%
80 94 95433 one pair 384 1.53% 1 : 64.2 18.40%
81 92 95332 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87533 one pair 384 1.53% 1 : 64.2 15.33%
83 86 86533 one pair 384 1.53% 1 : 64.2 13.80%
84 84 85433 one pair 384 1.53% 1 : 64.2 12.27%
85 82 85332 one pair 384 1.53% 1 : 64.2 10.73%
86 76 76533 one pair 384 1.53% 1 : 64.2 9.20%
87 74 75433 one pair 384 1.53% 1 : 64.2 7.67%
88 72 75332 one pair 384 1.53% 1 : 64.2 6.13%
89 64 65433 one pair 384 1.53% 1 : 64.2 4.60%
90 62 65332 one pair 384 1.53% 1 : 64.2 3.07%
91 42 54332 one pair 384 1.53% 1 : 64.2 1.53%