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 33332 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 32 33322 full house 24 0.10% 1 : 1043 99.98%
3 22 33222 full house 24 0.10% 1 : 1043 99.89%
 
4 A3 A3332 three of a kind 64 0.26% 1 : 390 99.79%
5 K3 K3332 three of a kind 64 0.26% 1 : 390 99.54%
6 Q3 Q3332 three of a kind 64 0.26% 1 : 390 99.28%
7 J3 J3332 three of a kind 64 0.26% 1 : 390 99.03%
8 T3 T3332 three of a kind 64 0.26% 1 : 390 98.77%
9 93 93332 three of a kind 64 0.26% 1 : 390 98.51%
10 83 83332 three of a kind 64 0.26% 1 : 390 98.26%
11 73 73332 three of a kind 64 0.26% 1 : 390 98.00%
12 63 63332 three of a kind 64 0.26% 1 : 390 97.75%
13 53 53332 three of a kind 64 0.26% 1 : 390 97.49%
14 43 43332 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA332 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK332 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ332 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ332 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT332 two pairs 144 0.57% 1 : 173 94.68%
20 99 99332 two pairs 144 0.57% 1 : 173 94.11%
21 88 88332 two pairs 144 0.57% 1 : 173 93.53%
22 77 77332 two pairs 144 0.57% 1 : 173 92.96%
23 66 66332 two pairs 144 0.57% 1 : 173 92.38%
24 55 55332 two pairs 144 0.57% 1 : 173 91.81%
25 44 44332 two pairs 144 0.57% 1 : 173 91.23%
26 A2 A3322 two pairs 144 0.57% 1 : 173 90.66%
27 K2 K3322 two pairs 144 0.57% 1 : 173 90.08%
28 Q2 Q3322 two pairs 144 0.57% 1 : 173 89.51%
29 J2 J3322 two pairs 144 0.57% 1 : 173 88.93%
30 T2 T3322 two pairs 144 0.57% 1 : 173 88.36%
31 92 93322 two pairs 144 0.57% 1 : 173 87.78%
32 82 83322 two pairs 144 0.57% 1 : 173 87.21%
33 72 73322 two pairs 144 0.57% 1 : 173 86.63%
34 62 63322 two pairs 144 0.57% 1 : 173 86.06%
35 52 53322 two pairs 144 0.57% 1 : 173 85.48%
36 42 43322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK332 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ332 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ332 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT332 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9332 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8332 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7332 one pair 384 1.53% 1 : 64.2 75.13%
44 A6 A6332 one pair 384 1.53% 1 : 64.2 73.60%
45 A5 A5332 one pair 384 1.53% 1 : 64.2 72.07%
46 A4 A4332 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ332 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ332 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT332 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9332 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8332 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7332 one pair 384 1.53% 1 : 64.2 61.33%
53 K6 K6332 one pair 384 1.53% 1 : 64.2 59.80%
54 K5 K5332 one pair 384 1.53% 1 : 64.2 58.27%
55 K4 K4332 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ332 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT332 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9332 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8332 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7332 one pair 384 1.53% 1 : 64.2 49.07%
61 Q6 Q6332 one pair 384 1.53% 1 : 64.2 47.53%
62 Q5 Q5332 one pair 384 1.53% 1 : 64.2 46.00%
63 Q4 Q4332 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT332 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9332 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8332 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7332 one pair 384 1.53% 1 : 64.2 38.33%
68 J6 J6332 one pair 384 1.53% 1 : 64.2 36.80%
69 J5 J5332 one pair 384 1.53% 1 : 64.2 35.27%
70 J4 J4332 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9332 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8332 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7332 one pair 384 1.53% 1 : 64.2 29.13%
74 T6 T6332 one pair 384 1.53% 1 : 64.2 27.60%
75 T5 T5332 one pair 384 1.53% 1 : 64.2 26.07%
76 T4 T4332 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98332 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97332 one pair 384 1.53% 1 : 64.2 21.47%
79 96 96332 one pair 384 1.53% 1 : 64.2 19.93%
80 95 95332 one pair 384 1.53% 1 : 64.2 18.40%
81 94 94332 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87332 one pair 384 1.53% 1 : 64.2 15.33%
83 86 86332 one pair 384 1.53% 1 : 64.2 13.80%
84 85 85332 one pair 384 1.53% 1 : 64.2 12.27%
85 84 84332 one pair 384 1.53% 1 : 64.2 10.73%
86 76 76332 one pair 384 1.53% 1 : 64.2 9.20%
87 75 75332 one pair 384 1.53% 1 : 64.2 7.67%
88 74 74332 one pair 384 1.53% 1 : 64.2 6.13%
89 65 65332 one pair 384 1.53% 1 : 64.2 4.60%
90 64 64332 one pair 384 1.53% 1 : 64.2 3.07%
91 54 54332 one pair 384 1.53% 1 : 64.2 1.53%