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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 AAAA8 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 A8 AAA88 full house 24 0.10% 1 : 1043 99.98%
3 88 AA888 full house 24 0.10% 1 : 1043 99.89%
 
4 AK AAAK8 three of a kind 64 0.26% 1 : 390 99.79%
5 AQ AAAQ8 three of a kind 64 0.26% 1 : 390 99.54%
6 AJ AAAJ8 three of a kind 64 0.26% 1 : 390 99.28%
7 AT AAAT8 three of a kind 64 0.26% 1 : 390 99.03%
8 A9 AAA98 three of a kind 64 0.26% 1 : 390 98.77%
9 A7 AAA87 three of a kind 64 0.26% 1 : 390 98.51%
10 A6 AAA86 three of a kind 64 0.26% 1 : 390 98.26%
11 A5 AAA85 three of a kind 64 0.26% 1 : 390 98.00%
12 A4 AAA84 three of a kind 64 0.26% 1 : 390 97.75%
13 A3 AAA83 three of a kind 64 0.26% 1 : 390 97.49%
14 A2 AAA82 three of a kind 64 0.26% 1 : 390 97.24%
 
15 KK AAKK8 two pairs 144 0.57% 1 : 173 96.98%
16 QQ AAQQ8 two pairs 144 0.57% 1 : 173 96.41%
17 JJ AAJJ8 two pairs 144 0.57% 1 : 173 95.83%
18 TT AATT8 two pairs 144 0.57% 1 : 173 95.26%
19 99 AA998 two pairs 144 0.57% 1 : 173 94.68%
20 K8 AAK88 two pairs 144 0.57% 1 : 173 94.11%
21 Q8 AAQ88 two pairs 144 0.57% 1 : 173 93.53%
22 J8 AAJ88 two pairs 144 0.57% 1 : 173 92.96%
23 T8 AAT88 two pairs 144 0.57% 1 : 173 92.38%
24 98 AA988 two pairs 144 0.57% 1 : 173 91.81%
25 87 AA887 two pairs 144 0.57% 1 : 173 91.23%
26 86 AA886 two pairs 144 0.57% 1 : 173 90.66%
27 85 AA885 two pairs 144 0.57% 1 : 173 90.08%
28 84 AA884 two pairs 144 0.57% 1 : 173 89.51%
29 83 AA883 two pairs 144 0.57% 1 : 173 88.93%
30 82 AA882 two pairs 144 0.57% 1 : 173 88.36%
31 77 AA877 two pairs 144 0.57% 1 : 173 87.78%
32 66 AA866 two pairs 144 0.57% 1 : 173 87.21%
33 55 AA855 two pairs 144 0.57% 1 : 173 86.63%
34 44 AA844 two pairs 144 0.57% 1 : 173 86.06%
35 33 AA833 two pairs 144 0.57% 1 : 173 85.48%
36 22 AA822 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AAKQ8 one pair 384 1.53% 1 : 64.2 84.33%
38 KJ AAKJ8 one pair 384 1.53% 1 : 64.2 82.80%
39 KT AAKT8 one pair 384 1.53% 1 : 64.2 81.26%
40 K9 AAK98 one pair 384 1.53% 1 : 64.2 79.73%
41 K7 AAK87 one pair 384 1.53% 1 : 64.2 78.20%
42 K6 AAK86 one pair 384 1.53% 1 : 64.2 76.67%
43 K5 AAK85 one pair 384 1.53% 1 : 64.2 75.13%
44 K4 AAK84 one pair 384 1.53% 1 : 64.2 73.60%
45 K3 AAK83 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AAK82 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ AAQJ8 one pair 384 1.53% 1 : 64.2 69.00%
48 QT AAQT8 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 AAQ98 one pair 384 1.53% 1 : 64.2 65.93%
50 Q7 AAQ87 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 AAQ86 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 AAQ85 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 AAQ84 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 AAQ83 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 AAQ82 one pair 384 1.53% 1 : 64.2 56.73%
56 JT AAJT8 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 AAJ98 one pair 384 1.53% 1 : 64.2 53.67%
58 J7 AAJ87 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 AAJ86 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 AAJ85 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 AAJ84 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 AAJ83 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 AAJ82 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 AAT98 one pair 384 1.53% 1 : 64.2 42.93%
65 T7 AAT87 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 AAT86 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 AAT85 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 AAT84 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 AAT83 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 AAT82 one pair 384 1.53% 1 : 64.2 33.73%
71 97 AA987 one pair 384 1.53% 1 : 64.2 32.20%
72 96 AA986 one pair 384 1.53% 1 : 64.2 30.67%
73 95 AA985 one pair 384 1.53% 1 : 64.2 29.13%
74 94 AA984 one pair 384 1.53% 1 : 64.2 27.60%
75 93 AA983 one pair 384 1.53% 1 : 64.2 26.07%
76 92 AA982 one pair 384 1.53% 1 : 64.2 24.53%
77 76 AA876 one pair 384 1.53% 1 : 64.2 23.00%
78 75 AA875 one pair 384 1.53% 1 : 64.2 21.47%
79 74 AA874 one pair 384 1.53% 1 : 64.2 19.93%
80 73 AA873 one pair 384 1.53% 1 : 64.2 18.40%
81 72 AA872 one pair 384 1.53% 1 : 64.2 16.87%
82 65 AA865 one pair 384 1.53% 1 : 64.2 15.33%
83 64 AA864 one pair 384 1.53% 1 : 64.2 13.80%
84 63 AA863 one pair 384 1.53% 1 : 64.2 12.27%
85 62 AA862 one pair 384 1.53% 1 : 64.2 10.73%
86 54 AA854 one pair 384 1.53% 1 : 64.2 9.20%
87 53 AA853 one pair 384 1.53% 1 : 64.2 7.67%
88 52 AA852 one pair 384 1.53% 1 : 64.2 6.13%
89 43 AA843 one pair 384 1.53% 1 : 64.2 4.60%
90 42 AA842 one pair 384 1.53% 1 : 64.2 3.07%
91 32 AA832 one pair 384 1.53% 1 : 64.2 1.53%