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 JJ JJJJ7 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 J7 JJJ77 full house 24 0.10% 1 : 1043 99.98%
3 77 JJ777 full house 24 0.10% 1 : 1043 99.89%
 
4 AJ AJJJ7 three of a kind 64 0.26% 1 : 390 99.79%
5 KJ KJJJ7 three of a kind 64 0.26% 1 : 390 99.54%
6 QJ QJJJ7 three of a kind 64 0.26% 1 : 390 99.28%
7 JT JJJT7 three of a kind 64 0.26% 1 : 390 99.03%
8 J9 JJJ97 three of a kind 64 0.26% 1 : 390 98.77%
9 J8 JJJ87 three of a kind 64 0.26% 1 : 390 98.51%
10 J6 JJJ76 three of a kind 64 0.26% 1 : 390 98.26%
11 J5 JJJ75 three of a kind 64 0.26% 1 : 390 98.00%
12 J4 JJJ74 three of a kind 64 0.26% 1 : 390 97.75%
13 J3 JJJ73 three of a kind 64 0.26% 1 : 390 97.49%
14 J2 JJJ72 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAJJ7 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKJJ7 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQJJ7 two pairs 144 0.57% 1 : 173 95.83%
18 TT JJTT7 two pairs 144 0.57% 1 : 173 95.26%
19 99 JJ997 two pairs 144 0.57% 1 : 173 94.68%
20 88 JJ887 two pairs 144 0.57% 1 : 173 94.11%
21 A7 AJJ77 two pairs 144 0.57% 1 : 173 93.53%
22 K7 KJJ77 two pairs 144 0.57% 1 : 173 92.96%
23 Q7 QJJ77 two pairs 144 0.57% 1 : 173 92.38%
24 T7 JJT77 two pairs 144 0.57% 1 : 173 91.81%
25 97 JJ977 two pairs 144 0.57% 1 : 173 91.23%
26 87 JJ877 two pairs 144 0.57% 1 : 173 90.66%
27 76 JJ776 two pairs 144 0.57% 1 : 173 90.08%
28 75 JJ775 two pairs 144 0.57% 1 : 173 89.51%
29 74 JJ774 two pairs 144 0.57% 1 : 173 88.93%
30 73 JJ773 two pairs 144 0.57% 1 : 173 88.36%
31 72 JJ772 two pairs 144 0.57% 1 : 173 87.78%
32 66 JJ766 two pairs 144 0.57% 1 : 173 87.21%
33 55 JJ755 two pairs 144 0.57% 1 : 173 86.63%
34 44 JJ744 two pairs 144 0.57% 1 : 173 86.06%
35 33 JJ733 two pairs 144 0.57% 1 : 173 85.48%
36 22 JJ722 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKJJ7 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQJJ7 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AJJT7 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AJJ97 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AJJ87 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AJJ76 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AJJ75 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AJJ74 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AJJ73 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AJJ72 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQJJ7 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KJJT7 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KJJ97 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KJJ87 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KJJ76 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KJJ75 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KJJ74 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KJJ73 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KJJ72 one pair 384 1.53% 1 : 64.2 56.73%
56 QT QJJT7 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QJJ97 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QJJ87 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 QJJ76 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 QJJ75 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QJJ74 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QJJ73 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QJJ72 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 JJT97 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 JJT87 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 JJT76 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 JJT75 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 JJT74 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 JJT73 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 JJT72 one pair 384 1.53% 1 : 64.2 33.73%
71 98 JJ987 one pair 384 1.53% 1 : 64.2 32.20%
72 96 JJ976 one pair 384 1.53% 1 : 64.2 30.67%
73 95 JJ975 one pair 384 1.53% 1 : 64.2 29.13%
74 94 JJ974 one pair 384 1.53% 1 : 64.2 27.60%
75 93 JJ973 one pair 384 1.53% 1 : 64.2 26.07%
76 92 JJ972 one pair 384 1.53% 1 : 64.2 24.53%
77 86 JJ876 one pair 384 1.53% 1 : 64.2 23.00%
78 85 JJ875 one pair 384 1.53% 1 : 64.2 21.47%
79 84 JJ874 one pair 384 1.53% 1 : 64.2 19.93%
80 83 JJ873 one pair 384 1.53% 1 : 64.2 18.40%
81 82 JJ872 one pair 384 1.53% 1 : 64.2 16.87%
82 65 JJ765 one pair 384 1.53% 1 : 64.2 15.33%
83 64 JJ764 one pair 384 1.53% 1 : 64.2 13.80%
84 63 JJ763 one pair 384 1.53% 1 : 64.2 12.27%
85 62 JJ762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 JJ754 one pair 384 1.53% 1 : 64.2 9.20%
87 53 JJ753 one pair 384 1.53% 1 : 64.2 7.67%
88 52 JJ752 one pair 384 1.53% 1 : 64.2 6.13%
89 43 JJ743 one pair 384 1.53% 1 : 64.2 4.60%
90 42 JJ742 one pair 384 1.53% 1 : 64.2 3.07%
91 32 JJ732 one pair 384 1.53% 1 : 64.2 1.53%