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 J2222 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 JJ JJJ22 full house 24 0.10% 1 : 1043 99.98%
3 J2 JJ222 full house 24 0.10% 1 : 1043 99.89%
 
4 A2 AJ222 three of a kind 64 0.26% 1 : 390 99.79%
5 K2 KJ222 three of a kind 64 0.26% 1 : 390 99.54%
6 Q2 QJ222 three of a kind 64 0.26% 1 : 390 99.28%
7 T2 JT222 three of a kind 64 0.26% 1 : 390 99.03%
8 92 J9222 three of a kind 64 0.26% 1 : 390 98.77%
9 82 J8222 three of a kind 64 0.26% 1 : 390 98.51%
10 72 J7222 three of a kind 64 0.26% 1 : 390 98.26%
11 62 J6222 three of a kind 64 0.26% 1 : 390 98.00%
12 52 J5222 three of a kind 64 0.26% 1 : 390 97.75%
13 42 J4222 three of a kind 64 0.26% 1 : 390 97.49%
14 32 J3222 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAJ22 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKJ22 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQJ22 two pairs 144 0.57% 1 : 173 95.83%
18 AJ AJJ22 two pairs 144 0.57% 1 : 173 95.26%
19 KJ KJJ22 two pairs 144 0.57% 1 : 173 94.68%
20 QJ QJJ22 two pairs 144 0.57% 1 : 173 94.11%
21 JT JJT22 two pairs 144 0.57% 1 : 173 93.53%
22 J9 JJ922 two pairs 144 0.57% 1 : 173 92.96%
23 J8 JJ822 two pairs 144 0.57% 1 : 173 92.38%
24 J7 JJ722 two pairs 144 0.57% 1 : 173 91.81%
25 J6 JJ622 two pairs 144 0.57% 1 : 173 91.23%
26 J5 JJ522 two pairs 144 0.57% 1 : 173 90.66%
27 J4 JJ422 two pairs 144 0.57% 1 : 173 90.08%
28 J3 JJ322 two pairs 144 0.57% 1 : 173 89.51%
29 TT JTT22 two pairs 144 0.57% 1 : 173 88.93%
30 99 J9922 two pairs 144 0.57% 1 : 173 88.36%
31 88 J8822 two pairs 144 0.57% 1 : 173 87.78%
32 77 J7722 two pairs 144 0.57% 1 : 173 87.21%
33 66 J6622 two pairs 144 0.57% 1 : 173 86.63%
34 55 J5522 two pairs 144 0.57% 1 : 173 86.06%
35 44 J4422 two pairs 144 0.57% 1 : 173 85.48%
36 33 J3322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKJ22 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQJ22 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AJT22 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AJ922 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AJ822 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AJ722 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AJ622 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AJ522 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 AJ422 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 AJ322 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQJ22 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KJT22 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KJ922 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KJ822 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KJ722 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KJ622 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 KJ522 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 KJ422 one pair 384 1.53% 1 : 64.2 58.27%
55 K3 KJ322 one pair 384 1.53% 1 : 64.2 56.73%
56 QT QJT22 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QJ922 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QJ822 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QJ722 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 QJ622 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 QJ522 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 QJ422 one pair 384 1.53% 1 : 64.2 46.00%
63 Q3 QJ322 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 JT922 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 JT822 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 JT722 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 JT622 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 JT522 one pair 384 1.53% 1 : 64.2 36.80%
69 T4 JT422 one pair 384 1.53% 1 : 64.2 35.27%
70 T3 JT322 one pair 384 1.53% 1 : 64.2 33.73%
71 98 J9822 one pair 384 1.53% 1 : 64.2 32.20%
72 97 J9722 one pair 384 1.53% 1 : 64.2 30.67%
73 96 J9622 one pair 384 1.53% 1 : 64.2 29.13%
74 95 J9522 one pair 384 1.53% 1 : 64.2 27.60%
75 94 J9422 one pair 384 1.53% 1 : 64.2 26.07%
76 93 J9322 one pair 384 1.53% 1 : 64.2 24.53%
77 87 J8722 one pair 384 1.53% 1 : 64.2 23.00%
78 86 J8622 one pair 384 1.53% 1 : 64.2 21.47%
79 85 J8522 one pair 384 1.53% 1 : 64.2 19.93%
80 84 J8422 one pair 384 1.53% 1 : 64.2 18.40%
81 83 J8322 one pair 384 1.53% 1 : 64.2 16.87%
82 76 J7622 one pair 384 1.53% 1 : 64.2 15.33%
83 75 J7522 one pair 384 1.53% 1 : 64.2 13.80%
84 74 J7422 one pair 384 1.53% 1 : 64.2 12.27%
85 73 J7322 one pair 384 1.53% 1 : 64.2 10.73%
86 65 J6522 one pair 384 1.53% 1 : 64.2 9.20%
87 64 J6422 one pair 384 1.53% 1 : 64.2 7.67%
88 63 J6322 one pair 384 1.53% 1 : 64.2 6.13%
89 54 J5422 one pair 384 1.53% 1 : 64.2 4.60%
90 53 J5322 one pair 384 1.53% 1 : 64.2 3.07%
91 43 J4322 one pair 384 1.53% 1 : 64.2 1.53%