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 77 A7777 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 AA AAA77 full house 24 0.10% 1 : 1043 99.98%
3 A7 AA777 full house 24 0.10% 1 : 1043 99.89%
 
4 K7 AK777 three of a kind 64 0.26% 1 : 390 99.79%
5 Q7 AQ777 three of a kind 64 0.26% 1 : 390 99.54%
6 J7 AJ777 three of a kind 64 0.26% 1 : 390 99.28%
7 T7 AT777 three of a kind 64 0.26% 1 : 390 99.03%
8 97 A9777 three of a kind 64 0.26% 1 : 390 98.77%
9 87 A8777 three of a kind 64 0.26% 1 : 390 98.51%
10 76 A7776 three of a kind 64 0.26% 1 : 390 98.26%
11 75 A7775 three of a kind 64 0.26% 1 : 390 98.00%
12 74 A7774 three of a kind 64 0.26% 1 : 390 97.75%
13 73 A7773 three of a kind 64 0.26% 1 : 390 97.49%
14 72 A7772 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AK AAK77 two pairs 144 0.57% 1 : 173 96.98%
16 AQ AAQ77 two pairs 144 0.57% 1 : 173 96.41%
17 AJ AAJ77 two pairs 144 0.57% 1 : 173 95.83%
18 AT AAT77 two pairs 144 0.57% 1 : 173 95.26%
19 A9 AA977 two pairs 144 0.57% 1 : 173 94.68%
20 A8 AA877 two pairs 144 0.57% 1 : 173 94.11%
21 A6 AA776 two pairs 144 0.57% 1 : 173 93.53%
22 A5 AA775 two pairs 144 0.57% 1 : 173 92.96%
23 A4 AA774 two pairs 144 0.57% 1 : 173 92.38%
24 A3 AA773 two pairs 144 0.57% 1 : 173 91.81%
25 A2 AA772 two pairs 144 0.57% 1 : 173 91.23%
26 KK AKK77 two pairs 144 0.57% 1 : 173 90.66%
27 QQ AQQ77 two pairs 144 0.57% 1 : 173 90.08%
28 JJ AJJ77 two pairs 144 0.57% 1 : 173 89.51%
29 TT ATT77 two pairs 144 0.57% 1 : 173 88.93%
30 99 A9977 two pairs 144 0.57% 1 : 173 88.36%
31 88 A8877 two pairs 144 0.57% 1 : 173 87.78%
32 66 A7766 two pairs 144 0.57% 1 : 173 87.21%
33 55 A7755 two pairs 144 0.57% 1 : 173 86.63%
34 44 A7744 two pairs 144 0.57% 1 : 173 86.06%
35 33 A7733 two pairs 144 0.57% 1 : 173 85.48%
36 22 A7722 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AKQ77 one pair 384 1.53% 1 : 64.2 84.33%
38 KJ AKJ77 one pair 384 1.53% 1 : 64.2 82.80%
39 KT AKT77 one pair 384 1.53% 1 : 64.2 81.26%
40 K9 AK977 one pair 384 1.53% 1 : 64.2 79.73%
41 K8 AK877 one pair 384 1.53% 1 : 64.2 78.20%
42 K6 AK776 one pair 384 1.53% 1 : 64.2 76.67%
43 K5 AK775 one pair 384 1.53% 1 : 64.2 75.13%
44 K4 AK774 one pair 384 1.53% 1 : 64.2 73.60%
45 K3 AK773 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AK772 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ AQJ77 one pair 384 1.53% 1 : 64.2 69.00%
48 QT AQT77 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 AQ977 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 AQ877 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 AQ776 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 AQ775 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 AQ774 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 AQ773 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 AQ772 one pair 384 1.53% 1 : 64.2 56.73%
56 JT AJT77 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 AJ977 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 AJ877 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 AJ776 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 AJ775 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 AJ774 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 AJ773 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 AJ772 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 AT977 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 AT877 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 AT776 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 AT775 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 AT774 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 AT773 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 AT772 one pair 384 1.53% 1 : 64.2 33.73%
71 98 A9877 one pair 384 1.53% 1 : 64.2 32.20%
72 96 A9776 one pair 384 1.53% 1 : 64.2 30.67%
73 95 A9775 one pair 384 1.53% 1 : 64.2 29.13%
74 94 A9774 one pair 384 1.53% 1 : 64.2 27.60%
75 93 A9773 one pair 384 1.53% 1 : 64.2 26.07%
76 92 A9772 one pair 384 1.53% 1 : 64.2 24.53%
77 86 A8776 one pair 384 1.53% 1 : 64.2 23.00%
78 85 A8775 one pair 384 1.53% 1 : 64.2 21.47%
79 84 A8774 one pair 384 1.53% 1 : 64.2 19.93%
80 83 A8773 one pair 384 1.53% 1 : 64.2 18.40%
81 82 A8772 one pair 384 1.53% 1 : 64.2 16.87%
82 65 A7765 one pair 384 1.53% 1 : 64.2 15.33%
83 64 A7764 one pair 384 1.53% 1 : 64.2 13.80%
84 63 A7763 one pair 384 1.53% 1 : 64.2 12.27%
85 62 A7762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 A7754 one pair 384 1.53% 1 : 64.2 9.20%
87 53 A7753 one pair 384 1.53% 1 : 64.2 7.67%
88 52 A7752 one pair 384 1.53% 1 : 64.2 6.13%
89 43 A7743 one pair 384 1.53% 1 : 64.2 4.60%
90 42 A7742 one pair 384 1.53% 1 : 64.2 3.07%
91 32 A7732 one pair 384 1.53% 1 : 64.2 1.53%