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 AA AAAA3 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 A3 AAA33 full house 24 0.10% 1 : 1043 99.98%
3 33 AA333 full house 24 0.10% 1 : 1043 99.89%
 
4 AK AAAK3 three of a kind 64 0.26% 1 : 390 99.79%
5 AQ AAAQ3 three of a kind 64 0.26% 1 : 390 99.54%
6 AJ AAAJ3 three of a kind 64 0.26% 1 : 390 99.28%
7 AT AAAT3 three of a kind 64 0.26% 1 : 390 99.03%
8 A9 AAA93 three of a kind 64 0.26% 1 : 390 98.77%
9 A8 AAA83 three of a kind 64 0.26% 1 : 390 98.51%
10 A7 AAA73 three of a kind 64 0.26% 1 : 390 98.26%
11 A6 AAA63 three of a kind 64 0.26% 1 : 390 98.00%
12 A5 AAA53 three of a kind 64 0.26% 1 : 390 97.75%
13 A4 AAA43 three of a kind 64 0.26% 1 : 390 97.49%
14 A2 AAA32 three of a kind 64 0.26% 1 : 390 97.24%
 
15 KK AAKK3 two pairs 144 0.57% 1 : 173 96.98%
16 QQ AAQQ3 two pairs 144 0.57% 1 : 173 96.41%
17 JJ AAJJ3 two pairs 144 0.57% 1 : 173 95.83%
18 TT AATT3 two pairs 144 0.57% 1 : 173 95.26%
19 99 AA993 two pairs 144 0.57% 1 : 173 94.68%
20 88 AA883 two pairs 144 0.57% 1 : 173 94.11%
21 77 AA773 two pairs 144 0.57% 1 : 173 93.53%
22 66 AA663 two pairs 144 0.57% 1 : 173 92.96%
23 55 AA553 two pairs 144 0.57% 1 : 173 92.38%
24 44 AA443 two pairs 144 0.57% 1 : 173 91.81%
25 K3 AAK33 two pairs 144 0.57% 1 : 173 91.23%
26 Q3 AAQ33 two pairs 144 0.57% 1 : 173 90.66%
27 J3 AAJ33 two pairs 144 0.57% 1 : 173 90.08%
28 T3 AAT33 two pairs 144 0.57% 1 : 173 89.51%
29 93 AA933 two pairs 144 0.57% 1 : 173 88.93%
30 83 AA833 two pairs 144 0.57% 1 : 173 88.36%
31 73 AA733 two pairs 144 0.57% 1 : 173 87.78%
32 63 AA633 two pairs 144 0.57% 1 : 173 87.21%
33 53 AA533 two pairs 144 0.57% 1 : 173 86.63%
34 43 AA433 two pairs 144 0.57% 1 : 173 86.06%
35 32 AA332 two pairs 144 0.57% 1 : 173 85.48%
36 22 AA322 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AAKQ3 one pair 384 1.53% 1 : 64.2 84.33%
38 KJ AAKJ3 one pair 384 1.53% 1 : 64.2 82.80%
39 KT AAKT3 one pair 384 1.53% 1 : 64.2 81.26%
40 K9 AAK93 one pair 384 1.53% 1 : 64.2 79.73%
41 K8 AAK83 one pair 384 1.53% 1 : 64.2 78.20%
42 K7 AAK73 one pair 384 1.53% 1 : 64.2 76.67%
43 K6 AAK63 one pair 384 1.53% 1 : 64.2 75.13%
44 K5 AAK53 one pair 384 1.53% 1 : 64.2 73.60%
45 K4 AAK43 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AAK32 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ AAQJ3 one pair 384 1.53% 1 : 64.2 69.00%
48 QT AAQT3 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 AAQ93 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 AAQ83 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 AAQ73 one pair 384 1.53% 1 : 64.2 62.87%
52 Q6 AAQ63 one pair 384 1.53% 1 : 64.2 61.33%
53 Q5 AAQ53 one pair 384 1.53% 1 : 64.2 59.80%
54 Q4 AAQ43 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 AAQ32 one pair 384 1.53% 1 : 64.2 56.73%
56 JT AAJT3 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 AAJ93 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 AAJ83 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 AAJ73 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 AAJ63 one pair 384 1.53% 1 : 64.2 49.07%
61 J5 AAJ53 one pair 384 1.53% 1 : 64.2 47.53%
62 J4 AAJ43 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 AAJ32 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 AAT93 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 AAT83 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 AAT73 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 AAT63 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 AAT53 one pair 384 1.53% 1 : 64.2 36.80%
69 T4 AAT43 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 AAT32 one pair 384 1.53% 1 : 64.2 33.73%
71 98 AA983 one pair 384 1.53% 1 : 64.2 32.20%
72 97 AA973 one pair 384 1.53% 1 : 64.2 30.67%
73 96 AA963 one pair 384 1.53% 1 : 64.2 29.13%
74 95 AA953 one pair 384 1.53% 1 : 64.2 27.60%
75 94 AA943 one pair 384 1.53% 1 : 64.2 26.07%
76 92 AA932 one pair 384 1.53% 1 : 64.2 24.53%
77 87 AA873 one pair 384 1.53% 1 : 64.2 23.00%
78 86 AA863 one pair 384 1.53% 1 : 64.2 21.47%
79 85 AA853 one pair 384 1.53% 1 : 64.2 19.93%
80 84 AA843 one pair 384 1.53% 1 : 64.2 18.40%
81 82 AA832 one pair 384 1.53% 1 : 64.2 16.87%
82 76 AA763 one pair 384 1.53% 1 : 64.2 15.33%
83 75 AA753 one pair 384 1.53% 1 : 64.2 13.80%
84 74 AA743 one pair 384 1.53% 1 : 64.2 12.27%
85 72 AA732 one pair 384 1.53% 1 : 64.2 10.73%
86 65 AA653 one pair 384 1.53% 1 : 64.2 9.20%
87 64 AA643 one pair 384 1.53% 1 : 64.2 7.67%
88 62 AA632 one pair 384 1.53% 1 : 64.2 6.13%
89 54 AA543 one pair 384 1.53% 1 : 64.2 4.60%
90 52 AA532 one pair 384 1.53% 1 : 64.2 3.07%
91 42 AA432 one pair 384 1.53% 1 : 64.2 1.53%