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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 AAAA9 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 A9 AAA99 full house 24 0.10% 1 : 1043 99.98%
3 99 AA999 full house 24 0.10% 1 : 1043 99.89%
 
4 AK AAAK9 three of a kind 64 0.26% 1 : 390 99.79%
5 AQ AAAQ9 three of a kind 64 0.26% 1 : 390 99.54%
6 AJ AAAJ9 three of a kind 64 0.26% 1 : 390 99.28%
7 AT AAAT9 three of a kind 64 0.26% 1 : 390 99.03%
8 A8 AAA98 three of a kind 64 0.26% 1 : 390 98.77%
9 A7 AAA97 three of a kind 64 0.26% 1 : 390 98.51%
10 A6 AAA96 three of a kind 64 0.26% 1 : 390 98.26%
11 A5 AAA95 three of a kind 64 0.26% 1 : 390 98.00%
12 A4 AAA94 three of a kind 64 0.26% 1 : 390 97.75%
13 A3 AAA93 three of a kind 64 0.26% 1 : 390 97.49%
14 A2 AAA92 three of a kind 64 0.26% 1 : 390 97.24%
 
15 KK AAKK9 two pairs 144 0.57% 1 : 173 96.98%
16 QQ AAQQ9 two pairs 144 0.57% 1 : 173 96.41%
17 JJ AAJJ9 two pairs 144 0.57% 1 : 173 95.83%
18 TT AATT9 two pairs 144 0.57% 1 : 173 95.26%
19 K9 AAK99 two pairs 144 0.57% 1 : 173 94.68%
20 Q9 AAQ99 two pairs 144 0.57% 1 : 173 94.11%
21 J9 AAJ99 two pairs 144 0.57% 1 : 173 93.53%
22 T9 AAT99 two pairs 144 0.57% 1 : 173 92.96%
23 98 AA998 two pairs 144 0.57% 1 : 173 92.38%
24 97 AA997 two pairs 144 0.57% 1 : 173 91.81%
25 96 AA996 two pairs 144 0.57% 1 : 173 91.23%
26 95 AA995 two pairs 144 0.57% 1 : 173 90.66%
27 94 AA994 two pairs 144 0.57% 1 : 173 90.08%
28 93 AA993 two pairs 144 0.57% 1 : 173 89.51%
29 92 AA992 two pairs 144 0.57% 1 : 173 88.93%
30 88 AA988 two pairs 144 0.57% 1 : 173 88.36%
31 77 AA977 two pairs 144 0.57% 1 : 173 87.78%
32 66 AA966 two pairs 144 0.57% 1 : 173 87.21%
33 55 AA955 two pairs 144 0.57% 1 : 173 86.63%
34 44 AA944 two pairs 144 0.57% 1 : 173 86.06%
35 33 AA933 two pairs 144 0.57% 1 : 173 85.48%
36 22 AA922 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AAKQ9 one pair 384 1.53% 1 : 64.2 84.33%
38 KJ AAKJ9 one pair 384 1.53% 1 : 64.2 82.80%
39 KT AAKT9 one pair 384 1.53% 1 : 64.2 81.26%
40 K8 AAK98 one pair 384 1.53% 1 : 64.2 79.73%
41 K7 AAK97 one pair 384 1.53% 1 : 64.2 78.20%
42 K6 AAK96 one pair 384 1.53% 1 : 64.2 76.67%
43 K5 AAK95 one pair 384 1.53% 1 : 64.2 75.13%
44 K4 AAK94 one pair 384 1.53% 1 : 64.2 73.60%
45 K3 AAK93 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AAK92 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ AAQJ9 one pair 384 1.53% 1 : 64.2 69.00%
48 QT AAQT9 one pair 384 1.53% 1 : 64.2 67.47%
49 Q8 AAQ98 one pair 384 1.53% 1 : 64.2 65.93%
50 Q7 AAQ97 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 AAQ96 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 AAQ95 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 AAQ94 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 AAQ93 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 AAQ92 one pair 384 1.53% 1 : 64.2 56.73%
56 JT AAJT9 one pair 384 1.53% 1 : 64.2 55.20%
57 J8 AAJ98 one pair 384 1.53% 1 : 64.2 53.67%
58 J7 AAJ97 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 AAJ96 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 AAJ95 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 AAJ94 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 AAJ93 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 AAJ92 one pair 384 1.53% 1 : 64.2 44.47%
64 T8 AAT98 one pair 384 1.53% 1 : 64.2 42.93%
65 T7 AAT97 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 AAT96 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 AAT95 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 AAT94 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 AAT93 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 AAT92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 AA987 one pair 384 1.53% 1 : 64.2 32.20%
72 86 AA986 one pair 384 1.53% 1 : 64.2 30.67%
73 85 AA985 one pair 384 1.53% 1 : 64.2 29.13%
74 84 AA984 one pair 384 1.53% 1 : 64.2 27.60%
75 83 AA983 one pair 384 1.53% 1 : 64.2 26.07%
76 82 AA982 one pair 384 1.53% 1 : 64.2 24.53%
77 76 AA976 one pair 384 1.53% 1 : 64.2 23.00%
78 75 AA975 one pair 384 1.53% 1 : 64.2 21.47%
79 74 AA974 one pair 384 1.53% 1 : 64.2 19.93%
80 73 AA973 one pair 384 1.53% 1 : 64.2 18.40%
81 72 AA972 one pair 384 1.53% 1 : 64.2 16.87%
82 65 AA965 one pair 384 1.53% 1 : 64.2 15.33%
83 64 AA964 one pair 384 1.53% 1 : 64.2 13.80%
84 63 AA963 one pair 384 1.53% 1 : 64.2 12.27%
85 62 AA962 one pair 384 1.53% 1 : 64.2 10.73%
86 54 AA954 one pair 384 1.53% 1 : 64.2 9.20%
87 53 AA953 one pair 384 1.53% 1 : 64.2 7.67%
88 52 AA952 one pair 384 1.53% 1 : 64.2 6.13%
89 43 AA943 one pair 384 1.53% 1 : 64.2 4.60%
90 42 AA942 one pair 384 1.53% 1 : 64.2 3.07%
91 32 AA932 one pair 384 1.53% 1 : 64.2 1.53%