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 55 J5555 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 JJ JJJ55 full house 24 0.10% 1 : 1043 99.98%
3 J5 JJ555 full house 24 0.10% 1 : 1043 99.89%
 
4 A5 AJ555 three of a kind 64 0.26% 1 : 390 99.79%
5 K5 KJ555 three of a kind 64 0.26% 1 : 390 99.54%
6 Q5 QJ555 three of a kind 64 0.26% 1 : 390 99.28%
7 T5 JT555 three of a kind 64 0.26% 1 : 390 99.03%
8 95 J9555 three of a kind 64 0.26% 1 : 390 98.77%
9 85 J8555 three of a kind 64 0.26% 1 : 390 98.51%
10 75 J7555 three of a kind 64 0.26% 1 : 390 98.26%
11 65 J6555 three of a kind 64 0.26% 1 : 390 98.00%
12 54 J5554 three of a kind 64 0.26% 1 : 390 97.75%
13 53 J5553 three of a kind 64 0.26% 1 : 390 97.49%
14 52 J5552 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAJ55 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKJ55 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQJ55 two pairs 144 0.57% 1 : 173 95.83%
18 AJ AJJ55 two pairs 144 0.57% 1 : 173 95.26%
19 KJ KJJ55 two pairs 144 0.57% 1 : 173 94.68%
20 QJ QJJ55 two pairs 144 0.57% 1 : 173 94.11%
21 JT JJT55 two pairs 144 0.57% 1 : 173 93.53%
22 J9 JJ955 two pairs 144 0.57% 1 : 173 92.96%
23 J8 JJ855 two pairs 144 0.57% 1 : 173 92.38%
24 J7 JJ755 two pairs 144 0.57% 1 : 173 91.81%
25 J6 JJ655 two pairs 144 0.57% 1 : 173 91.23%
26 J4 JJ554 two pairs 144 0.57% 1 : 173 90.66%
27 J3 JJ553 two pairs 144 0.57% 1 : 173 90.08%
28 J2 JJ552 two pairs 144 0.57% 1 : 173 89.51%
29 TT JTT55 two pairs 144 0.57% 1 : 173 88.93%
30 99 J9955 two pairs 144 0.57% 1 : 173 88.36%
31 88 J8855 two pairs 144 0.57% 1 : 173 87.78%
32 77 J7755 two pairs 144 0.57% 1 : 173 87.21%
33 66 J6655 two pairs 144 0.57% 1 : 173 86.63%
34 44 J5544 two pairs 144 0.57% 1 : 173 86.06%
35 33 J5533 two pairs 144 0.57% 1 : 173 85.48%
36 22 J5522 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKJ55 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQJ55 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AJT55 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AJ955 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AJ855 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AJ755 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AJ655 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AJ554 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AJ553 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AJ552 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQJ55 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KJT55 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KJ955 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KJ855 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KJ755 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KJ655 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KJ554 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KJ553 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KJ552 one pair 384 1.53% 1 : 64.2 56.73%
56 QT QJT55 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QJ955 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QJ855 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QJ755 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 QJ655 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QJ554 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QJ553 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QJ552 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 JT955 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 JT855 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 JT755 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 JT655 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 JT554 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 JT553 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 JT552 one pair 384 1.53% 1 : 64.2 33.73%
71 98 J9855 one pair 384 1.53% 1 : 64.2 32.20%
72 97 J9755 one pair 384 1.53% 1 : 64.2 30.67%
73 96 J9655 one pair 384 1.53% 1 : 64.2 29.13%
74 94 J9554 one pair 384 1.53% 1 : 64.2 27.60%
75 93 J9553 one pair 384 1.53% 1 : 64.2 26.07%
76 92 J9552 one pair 384 1.53% 1 : 64.2 24.53%
77 87 J8755 one pair 384 1.53% 1 : 64.2 23.00%
78 86 J8655 one pair 384 1.53% 1 : 64.2 21.47%
79 84 J8554 one pair 384 1.53% 1 : 64.2 19.93%
80 83 J8553 one pair 384 1.53% 1 : 64.2 18.40%
81 82 J8552 one pair 384 1.53% 1 : 64.2 16.87%
82 76 J7655 one pair 384 1.53% 1 : 64.2 15.33%
83 74 J7554 one pair 384 1.53% 1 : 64.2 13.80%
84 73 J7553 one pair 384 1.53% 1 : 64.2 12.27%
85 72 J7552 one pair 384 1.53% 1 : 64.2 10.73%
86 64 J6554 one pair 384 1.53% 1 : 64.2 9.20%
87 63 J6553 one pair 384 1.53% 1 : 64.2 7.67%
88 62 J6552 one pair 384 1.53% 1 : 64.2 6.13%
89 43 J5543 one pair 384 1.53% 1 : 64.2 4.60%
90 42 J5542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 J5532 one pair 384 1.53% 1 : 64.2 1.53%