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 JJJJ5 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 J5 JJJ55 full house 24 0.10% 1 : 1043 99.98%
3 55 JJ555 full house 24 0.10% 1 : 1043 99.89%
 
4 AJ AJJJ5 three of a kind 64 0.26% 1 : 390 99.79%
5 KJ KJJJ5 three of a kind 64 0.26% 1 : 390 99.54%
6 QJ QJJJ5 three of a kind 64 0.26% 1 : 390 99.28%
7 JT JJJT5 three of a kind 64 0.26% 1 : 390 99.03%
8 J9 JJJ95 three of a kind 64 0.26% 1 : 390 98.77%
9 J8 JJJ85 three of a kind 64 0.26% 1 : 390 98.51%
10 J7 JJJ75 three of a kind 64 0.26% 1 : 390 98.26%
11 J6 JJJ65 three of a kind 64 0.26% 1 : 390 98.00%
12 J4 JJJ54 three of a kind 64 0.26% 1 : 390 97.75%
13 J3 JJJ53 three of a kind 64 0.26% 1 : 390 97.49%
14 J2 JJJ52 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAJJ5 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKJJ5 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQJJ5 two pairs 144 0.57% 1 : 173 95.83%
18 TT JJTT5 two pairs 144 0.57% 1 : 173 95.26%
19 99 JJ995 two pairs 144 0.57% 1 : 173 94.68%
20 88 JJ885 two pairs 144 0.57% 1 : 173 94.11%
21 77 JJ775 two pairs 144 0.57% 1 : 173 93.53%
22 66 JJ665 two pairs 144 0.57% 1 : 173 92.96%
23 A5 AJJ55 two pairs 144 0.57% 1 : 173 92.38%
24 K5 KJJ55 two pairs 144 0.57% 1 : 173 91.81%
25 Q5 QJJ55 two pairs 144 0.57% 1 : 173 91.23%
26 T5 JJT55 two pairs 144 0.57% 1 : 173 90.66%
27 95 JJ955 two pairs 144 0.57% 1 : 173 90.08%
28 85 JJ855 two pairs 144 0.57% 1 : 173 89.51%
29 75 JJ755 two pairs 144 0.57% 1 : 173 88.93%
30 65 JJ655 two pairs 144 0.57% 1 : 173 88.36%
31 54 JJ554 two pairs 144 0.57% 1 : 173 87.78%
32 53 JJ553 two pairs 144 0.57% 1 : 173 87.21%
33 52 JJ552 two pairs 144 0.57% 1 : 173 86.63%
34 44 JJ544 two pairs 144 0.57% 1 : 173 86.06%
35 33 JJ533 two pairs 144 0.57% 1 : 173 85.48%
36 22 JJ522 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKJJ5 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQJJ5 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AJJT5 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AJJ95 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AJJ85 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AJJ75 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AJJ65 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AJJ54 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AJJ53 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AJJ52 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQJJ5 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KJJT5 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KJJ95 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KJJ85 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KJJ75 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KJJ65 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KJJ54 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KJJ53 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KJJ52 one pair 384 1.53% 1 : 64.2 56.73%
56 QT QJJT5 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QJJ95 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QJJ85 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QJJ75 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 QJJ65 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QJJ54 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QJJ53 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QJJ52 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 JJT95 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 JJT85 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 JJT75 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 JJT65 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 JJT54 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 JJT53 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 JJT52 one pair 384 1.53% 1 : 64.2 33.73%
71 98 JJ985 one pair 384 1.53% 1 : 64.2 32.20%
72 97 JJ975 one pair 384 1.53% 1 : 64.2 30.67%
73 96 JJ965 one pair 384 1.53% 1 : 64.2 29.13%
74 94 JJ954 one pair 384 1.53% 1 : 64.2 27.60%
75 93 JJ953 one pair 384 1.53% 1 : 64.2 26.07%
76 92 JJ952 one pair 384 1.53% 1 : 64.2 24.53%
77 87 JJ875 one pair 384 1.53% 1 : 64.2 23.00%
78 86 JJ865 one pair 384 1.53% 1 : 64.2 21.47%
79 84 JJ854 one pair 384 1.53% 1 : 64.2 19.93%
80 83 JJ853 one pair 384 1.53% 1 : 64.2 18.40%
81 82 JJ852 one pair 384 1.53% 1 : 64.2 16.87%
82 76 JJ765 one pair 384 1.53% 1 : 64.2 15.33%
83 74 JJ754 one pair 384 1.53% 1 : 64.2 13.80%
84 73 JJ753 one pair 384 1.53% 1 : 64.2 12.27%
85 72 JJ752 one pair 384 1.53% 1 : 64.2 10.73%
86 64 JJ654 one pair 384 1.53% 1 : 64.2 9.20%
87 63 JJ653 one pair 384 1.53% 1 : 64.2 7.67%
88 62 JJ652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 JJ543 one pair 384 1.53% 1 : 64.2 4.60%
90 42 JJ542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 JJ532 one pair 384 1.53% 1 : 64.2 1.53%