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 T2222 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 TT TTT22 full house 24 0.10% 1 : 1043 99.98%
3 T2 TT222 full house 24 0.10% 1 : 1043 99.89%
 
4 A2 AT222 three of a kind 64 0.26% 1 : 390 99.79%
5 K2 KT222 three of a kind 64 0.26% 1 : 390 99.54%
6 Q2 QT222 three of a kind 64 0.26% 1 : 390 99.28%
7 J2 JT222 three of a kind 64 0.26% 1 : 390 99.03%
8 92 T9222 three of a kind 64 0.26% 1 : 390 98.77%
9 82 T8222 three of a kind 64 0.26% 1 : 390 98.51%
10 72 T7222 three of a kind 64 0.26% 1 : 390 98.26%
11 62 T6222 three of a kind 64 0.26% 1 : 390 98.00%
12 52 T5222 three of a kind 64 0.26% 1 : 390 97.75%
13 42 T4222 three of a kind 64 0.26% 1 : 390 97.49%
14 32 T3222 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAT22 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKT22 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQT22 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJT22 two pairs 144 0.57% 1 : 173 95.26%
19 AT ATT22 two pairs 144 0.57% 1 : 173 94.68%
20 KT KTT22 two pairs 144 0.57% 1 : 173 94.11%
21 QT QTT22 two pairs 144 0.57% 1 : 173 93.53%
22 JT JTT22 two pairs 144 0.57% 1 : 173 92.96%
23 T9 TT922 two pairs 144 0.57% 1 : 173 92.38%
24 T8 TT822 two pairs 144 0.57% 1 : 173 91.81%
25 T7 TT722 two pairs 144 0.57% 1 : 173 91.23%
26 T6 TT622 two pairs 144 0.57% 1 : 173 90.66%
27 T5 TT522 two pairs 144 0.57% 1 : 173 90.08%
28 T4 TT422 two pairs 144 0.57% 1 : 173 89.51%
29 T3 TT322 two pairs 144 0.57% 1 : 173 88.93%
30 99 T9922 two pairs 144 0.57% 1 : 173 88.36%
31 88 T8822 two pairs 144 0.57% 1 : 173 87.78%
32 77 T7722 two pairs 144 0.57% 1 : 173 87.21%
33 66 T6622 two pairs 144 0.57% 1 : 173 86.63%
34 55 T5522 two pairs 144 0.57% 1 : 173 86.06%
35 44 T4422 two pairs 144 0.57% 1 : 173 85.48%
36 33 T3322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKT22 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQT22 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJT22 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AT922 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AT822 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AT722 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AT622 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AT522 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 AT422 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 AT322 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQT22 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJT22 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KT922 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KT822 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KT722 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KT622 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 KT522 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 KT422 one pair 384 1.53% 1 : 64.2 58.27%
55 K3 KT322 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJT22 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QT922 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QT822 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QT722 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 QT622 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 QT522 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 QT422 one pair 384 1.53% 1 : 64.2 46.00%
63 Q3 QT322 one pair 384 1.53% 1 : 64.2 44.47%
64 J9 JT922 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 JT822 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 JT722 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 JT622 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 JT522 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 JT422 one pair 384 1.53% 1 : 64.2 35.27%
70 J3 JT322 one pair 384 1.53% 1 : 64.2 33.73%
71 98 T9822 one pair 384 1.53% 1 : 64.2 32.20%
72 97 T9722 one pair 384 1.53% 1 : 64.2 30.67%
73 96 T9622 one pair 384 1.53% 1 : 64.2 29.13%
74 95 T9522 one pair 384 1.53% 1 : 64.2 27.60%
75 94 T9422 one pair 384 1.53% 1 : 64.2 26.07%
76 93 T9322 one pair 384 1.53% 1 : 64.2 24.53%
77 87 T8722 one pair 384 1.53% 1 : 64.2 23.00%
78 86 T8622 one pair 384 1.53% 1 : 64.2 21.47%
79 85 T8522 one pair 384 1.53% 1 : 64.2 19.93%
80 84 T8422 one pair 384 1.53% 1 : 64.2 18.40%
81 83 T8322 one pair 384 1.53% 1 : 64.2 16.87%
82 76 T7622 one pair 384 1.53% 1 : 64.2 15.33%
83 75 T7522 one pair 384 1.53% 1 : 64.2 13.80%
84 74 T7422 one pair 384 1.53% 1 : 64.2 12.27%
85 73 T7322 one pair 384 1.53% 1 : 64.2 10.73%
86 65 T6522 one pair 384 1.53% 1 : 64.2 9.20%
87 64 T6422 one pair 384 1.53% 1 : 64.2 7.67%
88 63 T6322 one pair 384 1.53% 1 : 64.2 6.13%
89 54 T5422 one pair 384 1.53% 1 : 64.2 4.60%
90 53 T5322 one pair 384 1.53% 1 : 64.2 3.07%
91 43 T4322 one pair 384 1.53% 1 : 64.2 1.53%