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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 AAAA2 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 A2 AAA22 full house 24 0.10% 1 : 1043 99.98%
3 22 AA222 full house 24 0.10% 1 : 1043 99.89%
 
4 AK AAAK2 three of a kind 64 0.26% 1 : 390 99.79%
5 AQ AAAQ2 three of a kind 64 0.26% 1 : 390 99.54%
6 AJ AAAJ2 three of a kind 64 0.26% 1 : 390 99.28%
7 AT AAAT2 three of a kind 64 0.26% 1 : 390 99.03%
8 A9 AAA92 three of a kind 64 0.26% 1 : 390 98.77%
9 A8 AAA82 three of a kind 64 0.26% 1 : 390 98.51%
10 A7 AAA72 three of a kind 64 0.26% 1 : 390 98.26%
11 A6 AAA62 three of a kind 64 0.26% 1 : 390 98.00%
12 A5 AAA52 three of a kind 64 0.26% 1 : 390 97.75%
13 A4 AAA42 three of a kind 64 0.26% 1 : 390 97.49%
14 A3 AAA32 three of a kind 64 0.26% 1 : 390 97.24%
 
15 KK AAKK2 two pairs 144 0.57% 1 : 173 96.98%
16 QQ AAQQ2 two pairs 144 0.57% 1 : 173 96.41%
17 JJ AAJJ2 two pairs 144 0.57% 1 : 173 95.83%
18 TT AATT2 two pairs 144 0.57% 1 : 173 95.26%
19 99 AA992 two pairs 144 0.57% 1 : 173 94.68%
20 88 AA882 two pairs 144 0.57% 1 : 173 94.11%
21 77 AA772 two pairs 144 0.57% 1 : 173 93.53%
22 66 AA662 two pairs 144 0.57% 1 : 173 92.96%
23 55 AA552 two pairs 144 0.57% 1 : 173 92.38%
24 44 AA442 two pairs 144 0.57% 1 : 173 91.81%
25 33 AA332 two pairs 144 0.57% 1 : 173 91.23%
26 K2 AAK22 two pairs 144 0.57% 1 : 173 90.66%
27 Q2 AAQ22 two pairs 144 0.57% 1 : 173 90.08%
28 J2 AAJ22 two pairs 144 0.57% 1 : 173 89.51%
29 T2 AAT22 two pairs 144 0.57% 1 : 173 88.93%
30 92 AA922 two pairs 144 0.57% 1 : 173 88.36%
31 82 AA822 two pairs 144 0.57% 1 : 173 87.78%
32 72 AA722 two pairs 144 0.57% 1 : 173 87.21%
33 62 AA622 two pairs 144 0.57% 1 : 173 86.63%
34 52 AA522 two pairs 144 0.57% 1 : 173 86.06%
35 42 AA422 two pairs 144 0.57% 1 : 173 85.48%
36 32 AA322 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AAKQ2 one pair 384 1.53% 1 : 64.2 84.33%
38 KJ AAKJ2 one pair 384 1.53% 1 : 64.2 82.80%
39 KT AAKT2 one pair 384 1.53% 1 : 64.2 81.26%
40 K9 AAK92 one pair 384 1.53% 1 : 64.2 79.73%
41 K8 AAK82 one pair 384 1.53% 1 : 64.2 78.20%
42 K7 AAK72 one pair 384 1.53% 1 : 64.2 76.67%
43 K6 AAK62 one pair 384 1.53% 1 : 64.2 75.13%
44 K5 AAK52 one pair 384 1.53% 1 : 64.2 73.60%
45 K4 AAK42 one pair 384 1.53% 1 : 64.2 72.07%
46 K3 AAK32 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ AAQJ2 one pair 384 1.53% 1 : 64.2 69.00%
48 QT AAQT2 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 AAQ92 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 AAQ82 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 AAQ72 one pair 384 1.53% 1 : 64.2 62.87%
52 Q6 AAQ62 one pair 384 1.53% 1 : 64.2 61.33%
53 Q5 AAQ52 one pair 384 1.53% 1 : 64.2 59.80%
54 Q4 AAQ42 one pair 384 1.53% 1 : 64.2 58.27%
55 Q3 AAQ32 one pair 384 1.53% 1 : 64.2 56.73%
56 JT AAJT2 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 AAJ92 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 AAJ82 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 AAJ72 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 AAJ62 one pair 384 1.53% 1 : 64.2 49.07%
61 J5 AAJ52 one pair 384 1.53% 1 : 64.2 47.53%
62 J4 AAJ42 one pair 384 1.53% 1 : 64.2 46.00%
63 J3 AAJ32 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 AAT92 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 AAT82 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 AAT72 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 AAT62 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 AAT52 one pair 384 1.53% 1 : 64.2 36.80%
69 T4 AAT42 one pair 384 1.53% 1 : 64.2 35.27%
70 T3 AAT32 one pair 384 1.53% 1 : 64.2 33.73%
71 98 AA982 one pair 384 1.53% 1 : 64.2 32.20%
72 97 AA972 one pair 384 1.53% 1 : 64.2 30.67%
73 96 AA962 one pair 384 1.53% 1 : 64.2 29.13%
74 95 AA952 one pair 384 1.53% 1 : 64.2 27.60%
75 94 AA942 one pair 384 1.53% 1 : 64.2 26.07%
76 93 AA932 one pair 384 1.53% 1 : 64.2 24.53%
77 87 AA872 one pair 384 1.53% 1 : 64.2 23.00%
78 86 AA862 one pair 384 1.53% 1 : 64.2 21.47%
79 85 AA852 one pair 384 1.53% 1 : 64.2 19.93%
80 84 AA842 one pair 384 1.53% 1 : 64.2 18.40%
81 83 AA832 one pair 384 1.53% 1 : 64.2 16.87%
82 76 AA762 one pair 384 1.53% 1 : 64.2 15.33%
83 75 AA752 one pair 384 1.53% 1 : 64.2 13.80%
84 74 AA742 one pair 384 1.53% 1 : 64.2 12.27%
85 73 AA732 one pair 384 1.53% 1 : 64.2 10.73%
86 65 AA652 one pair 384 1.53% 1 : 64.2 9.20%
87 64 AA642 one pair 384 1.53% 1 : 64.2 7.67%
88 63 AA632 one pair 384 1.53% 1 : 64.2 6.13%
89 54 AA542 one pair 384 1.53% 1 : 64.2 4.60%
90 53 AA532 one pair 384 1.53% 1 : 64.2 3.07%
91 43 AA432 one pair 384 1.53% 1 : 64.2 1.53%