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 KK KKKKJ four of a kind 4 0.02% 1 : 6260 100.00%
 
2 KJ KKKJJ full house 24 0.10% 1 : 1043 99.98%
3 JJ KKJJJ full house 24 0.10% 1 : 1043 99.89%
 
4 AK AKKKJ three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KKKQJ three of a kind 64 0.26% 1 : 390 99.54%
6 KT KKKJT three of a kind 64 0.26% 1 : 390 99.28%
7 K9 KKKJ9 three of a kind 64 0.26% 1 : 390 99.03%
8 K8 KKKJ8 three of a kind 64 0.26% 1 : 390 98.77%
9 K7 KKKJ7 three of a kind 64 0.26% 1 : 390 98.51%
10 K6 KKKJ6 three of a kind 64 0.26% 1 : 390 98.26%
11 K5 KKKJ5 three of a kind 64 0.26% 1 : 390 98.00%
12 K4 KKKJ4 three of a kind 64 0.26% 1 : 390 97.75%
13 K3 KKKJ3 three of a kind 64 0.26% 1 : 390 97.49%
14 K2 KKKJ2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAKKJ two pairs 144 0.57% 1 : 173 96.98%
16 QQ KKQQJ two pairs 144 0.57% 1 : 173 96.41%
17 AJ AKKJJ two pairs 144 0.57% 1 : 173 95.83%
18 QJ KKQJJ two pairs 144 0.57% 1 : 173 95.26%
19 JT KKJJT two pairs 144 0.57% 1 : 173 94.68%
20 J9 KKJJ9 two pairs 144 0.57% 1 : 173 94.11%
21 J8 KKJJ8 two pairs 144 0.57% 1 : 173 93.53%
22 J7 KKJJ7 two pairs 144 0.57% 1 : 173 92.96%
23 J6 KKJJ6 two pairs 144 0.57% 1 : 173 92.38%
24 J5 KKJJ5 two pairs 144 0.57% 1 : 173 91.81%
25 J4 KKJJ4 two pairs 144 0.57% 1 : 173 91.23%
26 J3 KKJJ3 two pairs 144 0.57% 1 : 173 90.66%
27 J2 KKJJ2 two pairs 144 0.57% 1 : 173 90.08%
28 TT KKJTT two pairs 144 0.57% 1 : 173 89.51%
29 99 KKJ99 two pairs 144 0.57% 1 : 173 88.93%
30 88 KKJ88 two pairs 144 0.57% 1 : 173 88.36%
31 77 KKJ77 two pairs 144 0.57% 1 : 173 87.78%
32 66 KKJ66 two pairs 144 0.57% 1 : 173 87.21%
33 55 KKJ55 two pairs 144 0.57% 1 : 173 86.63%
34 44 KKJ44 two pairs 144 0.57% 1 : 173 86.06%
35 33 KKJ33 two pairs 144 0.57% 1 : 173 85.48%
36 22 KKJ22 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKKQJ one pair 384 1.53% 1 : 64.2 84.33%
38 AT AKKJT one pair 384 1.53% 1 : 64.2 82.80%
39 A9 AKKJ9 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 AKKJ8 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AKKJ7 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AKKJ6 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AKKJ5 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AKKJ4 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AKKJ3 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AKKJ2 one pair 384 1.53% 1 : 64.2 70.53%
47 QT KKQJT one pair 384 1.53% 1 : 64.2 69.00%
48 Q9 KKQJ9 one pair 384 1.53% 1 : 64.2 67.47%
49 Q8 KKQJ8 one pair 384 1.53% 1 : 64.2 65.93%
50 Q7 KKQJ7 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 KKQJ6 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 KKQJ5 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 KKQJ4 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 KKQJ3 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 KKQJ2 one pair 384 1.53% 1 : 64.2 56.73%
56 T9 KKJT9 one pair 384 1.53% 1 : 64.2 55.20%
57 T8 KKJT8 one pair 384 1.53% 1 : 64.2 53.67%
58 T7 KKJT7 one pair 384 1.53% 1 : 64.2 52.13%
59 T6 KKJT6 one pair 384 1.53% 1 : 64.2 50.60%
60 T5 KKJT5 one pair 384 1.53% 1 : 64.2 49.07%
61 T4 KKJT4 one pair 384 1.53% 1 : 64.2 47.53%
62 T3 KKJT3 one pair 384 1.53% 1 : 64.2 46.00%
63 T2 KKJT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 KKJ98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 KKJ97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 KKJ96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 KKJ95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 KKJ94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 KKJ93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 KKJ92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 KKJ87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 KKJ86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 KKJ85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 KKJ84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 KKJ83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 KKJ82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 KKJ76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 KKJ75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 KKJ74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 KKJ73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 KKJ72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 KKJ65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 KKJ64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 KKJ63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 KKJ62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 KKJ54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 KKJ53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 KKJ52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 KKJ43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 KKJ42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 KKJ32 one pair 384 1.53% 1 : 64.2 1.53%