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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 JJ JJJJ8 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 J8 JJJ88 full house 24 0.10% 1 : 1043 99.98%
3 88 JJ888 full house 24 0.10% 1 : 1043 99.89%
 
4 AJ AJJJ8 three of a kind 64 0.26% 1 : 390 99.79%
5 KJ KJJJ8 three of a kind 64 0.26% 1 : 390 99.54%
6 QJ QJJJ8 three of a kind 64 0.26% 1 : 390 99.28%
7 JT JJJT8 three of a kind 64 0.26% 1 : 390 99.03%
8 J9 JJJ98 three of a kind 64 0.26% 1 : 390 98.77%
9 J7 JJJ87 three of a kind 64 0.26% 1 : 390 98.51%
10 J6 JJJ86 three of a kind 64 0.26% 1 : 390 98.26%
11 J5 JJJ85 three of a kind 64 0.26% 1 : 390 98.00%
12 J4 JJJ84 three of a kind 64 0.26% 1 : 390 97.75%
13 J3 JJJ83 three of a kind 64 0.26% 1 : 390 97.49%
14 J2 JJJ82 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAJJ8 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKJJ8 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQJJ8 two pairs 144 0.57% 1 : 173 95.83%
18 TT JJTT8 two pairs 144 0.57% 1 : 173 95.26%
19 99 JJ998 two pairs 144 0.57% 1 : 173 94.68%
20 A8 AJJ88 two pairs 144 0.57% 1 : 173 94.11%
21 K8 KJJ88 two pairs 144 0.57% 1 : 173 93.53%
22 Q8 QJJ88 two pairs 144 0.57% 1 : 173 92.96%
23 T8 JJT88 two pairs 144 0.57% 1 : 173 92.38%
24 98 JJ988 two pairs 144 0.57% 1 : 173 91.81%
25 87 JJ887 two pairs 144 0.57% 1 : 173 91.23%
26 86 JJ886 two pairs 144 0.57% 1 : 173 90.66%
27 85 JJ885 two pairs 144 0.57% 1 : 173 90.08%
28 84 JJ884 two pairs 144 0.57% 1 : 173 89.51%
29 83 JJ883 two pairs 144 0.57% 1 : 173 88.93%
30 82 JJ882 two pairs 144 0.57% 1 : 173 88.36%
31 77 JJ877 two pairs 144 0.57% 1 : 173 87.78%
32 66 JJ866 two pairs 144 0.57% 1 : 173 87.21%
33 55 JJ855 two pairs 144 0.57% 1 : 173 86.63%
34 44 JJ844 two pairs 144 0.57% 1 : 173 86.06%
35 33 JJ833 two pairs 144 0.57% 1 : 173 85.48%
36 22 JJ822 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKJJ8 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQJJ8 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AJJT8 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AJJ98 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AJJ87 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AJJ86 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AJJ85 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AJJ84 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AJJ83 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AJJ82 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQJJ8 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KJJT8 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KJJ98 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 KJJ87 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KJJ86 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KJJ85 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KJJ84 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KJJ83 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KJJ82 one pair 384 1.53% 1 : 64.2 56.73%
56 QT QJJT8 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QJJ98 one pair 384 1.53% 1 : 64.2 53.67%
58 Q7 QJJ87 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 QJJ86 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 QJJ85 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QJJ84 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QJJ83 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QJJ82 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 JJT98 one pair 384 1.53% 1 : 64.2 42.93%
65 T7 JJT87 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 JJT86 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 JJT85 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 JJT84 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 JJT83 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 JJT82 one pair 384 1.53% 1 : 64.2 33.73%
71 97 JJ987 one pair 384 1.53% 1 : 64.2 32.20%
72 96 JJ986 one pair 384 1.53% 1 : 64.2 30.67%
73 95 JJ985 one pair 384 1.53% 1 : 64.2 29.13%
74 94 JJ984 one pair 384 1.53% 1 : 64.2 27.60%
75 93 JJ983 one pair 384 1.53% 1 : 64.2 26.07%
76 92 JJ982 one pair 384 1.53% 1 : 64.2 24.53%
77 76 JJ876 one pair 384 1.53% 1 : 64.2 23.00%
78 75 JJ875 one pair 384 1.53% 1 : 64.2 21.47%
79 74 JJ874 one pair 384 1.53% 1 : 64.2 19.93%
80 73 JJ873 one pair 384 1.53% 1 : 64.2 18.40%
81 72 JJ872 one pair 384 1.53% 1 : 64.2 16.87%
82 65 JJ865 one pair 384 1.53% 1 : 64.2 15.33%
83 64 JJ864 one pair 384 1.53% 1 : 64.2 13.80%
84 63 JJ863 one pair 384 1.53% 1 : 64.2 12.27%
85 62 JJ862 one pair 384 1.53% 1 : 64.2 10.73%
86 54 JJ854 one pair 384 1.53% 1 : 64.2 9.20%
87 53 JJ853 one pair 384 1.53% 1 : 64.2 7.67%
88 52 JJ852 one pair 384 1.53% 1 : 64.2 6.13%
89 43 JJ843 one pair 384 1.53% 1 : 64.2 4.60%
90 42 JJ842 one pair 384 1.53% 1 : 64.2 3.07%
91 32 JJ832 one pair 384 1.53% 1 : 64.2 1.53%