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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 KK KKKK8 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 K8 KKK88 full house 24 0.10% 1 : 1043 99.98%
3 88 KK888 full house 24 0.10% 1 : 1043 99.89%
 
4 AK AKKK8 three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KKKQ8 three of a kind 64 0.26% 1 : 390 99.54%
6 KJ KKKJ8 three of a kind 64 0.26% 1 : 390 99.28%
7 KT KKKT8 three of a kind 64 0.26% 1 : 390 99.03%
8 K9 KKK98 three of a kind 64 0.26% 1 : 390 98.77%
9 K7 KKK87 three of a kind 64 0.26% 1 : 390 98.51%
10 K6 KKK86 three of a kind 64 0.26% 1 : 390 98.26%
11 K5 KKK85 three of a kind 64 0.26% 1 : 390 98.00%
12 K4 KKK84 three of a kind 64 0.26% 1 : 390 97.75%
13 K3 KKK83 three of a kind 64 0.26% 1 : 390 97.49%
14 K2 KKK82 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAKK8 two pairs 144 0.57% 1 : 173 96.98%
16 QQ KKQQ8 two pairs 144 0.57% 1 : 173 96.41%
17 JJ KKJJ8 two pairs 144 0.57% 1 : 173 95.83%
18 TT KKTT8 two pairs 144 0.57% 1 : 173 95.26%
19 99 KK998 two pairs 144 0.57% 1 : 173 94.68%
20 A8 AKK88 two pairs 144 0.57% 1 : 173 94.11%
21 Q8 KKQ88 two pairs 144 0.57% 1 : 173 93.53%
22 J8 KKJ88 two pairs 144 0.57% 1 : 173 92.96%
23 T8 KKT88 two pairs 144 0.57% 1 : 173 92.38%
24 98 KK988 two pairs 144 0.57% 1 : 173 91.81%
25 87 KK887 two pairs 144 0.57% 1 : 173 91.23%
26 86 KK886 two pairs 144 0.57% 1 : 173 90.66%
27 85 KK885 two pairs 144 0.57% 1 : 173 90.08%
28 84 KK884 two pairs 144 0.57% 1 : 173 89.51%
29 83 KK883 two pairs 144 0.57% 1 : 173 88.93%
30 82 KK882 two pairs 144 0.57% 1 : 173 88.36%
31 77 KK877 two pairs 144 0.57% 1 : 173 87.78%
32 66 KK866 two pairs 144 0.57% 1 : 173 87.21%
33 55 KK855 two pairs 144 0.57% 1 : 173 86.63%
34 44 KK844 two pairs 144 0.57% 1 : 173 86.06%
35 33 KK833 two pairs 144 0.57% 1 : 173 85.48%
36 22 KK822 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKKQ8 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AKKJ8 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AKKT8 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AKK98 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AKK87 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AKK86 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AKK85 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AKK84 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AKK83 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AKK82 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ KKQJ8 one pair 384 1.53% 1 : 64.2 69.00%
48 QT KKQT8 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 KKQ98 one pair 384 1.53% 1 : 64.2 65.93%
50 Q7 KKQ87 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 KKQ86 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 KKQ85 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 KKQ84 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 KKQ83 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 KKQ82 one pair 384 1.53% 1 : 64.2 56.73%
56 JT KKJT8 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 KKJ98 one pair 384 1.53% 1 : 64.2 53.67%
58 J7 KKJ87 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 KKJ86 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 KKJ85 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 KKJ84 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 KKJ83 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 KKJ82 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 KKT98 one pair 384 1.53% 1 : 64.2 42.93%
65 T7 KKT87 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 KKT86 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 KKT85 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 KKT84 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 KKT83 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 KKT82 one pair 384 1.53% 1 : 64.2 33.73%
71 97 KK987 one pair 384 1.53% 1 : 64.2 32.20%
72 96 KK986 one pair 384 1.53% 1 : 64.2 30.67%
73 95 KK985 one pair 384 1.53% 1 : 64.2 29.13%
74 94 KK984 one pair 384 1.53% 1 : 64.2 27.60%
75 93 KK983 one pair 384 1.53% 1 : 64.2 26.07%
76 92 KK982 one pair 384 1.53% 1 : 64.2 24.53%
77 76 KK876 one pair 384 1.53% 1 : 64.2 23.00%
78 75 KK875 one pair 384 1.53% 1 : 64.2 21.47%
79 74 KK874 one pair 384 1.53% 1 : 64.2 19.93%
80 73 KK873 one pair 384 1.53% 1 : 64.2 18.40%
81 72 KK872 one pair 384 1.53% 1 : 64.2 16.87%
82 65 KK865 one pair 384 1.53% 1 : 64.2 15.33%
83 64 KK864 one pair 384 1.53% 1 : 64.2 13.80%
84 63 KK863 one pair 384 1.53% 1 : 64.2 12.27%
85 62 KK862 one pair 384 1.53% 1 : 64.2 10.73%
86 54 KK854 one pair 384 1.53% 1 : 64.2 9.20%
87 53 KK853 one pair 384 1.53% 1 : 64.2 7.67%
88 52 KK852 one pair 384 1.53% 1 : 64.2 6.13%
89 43 KK843 one pair 384 1.53% 1 : 64.2 4.60%
90 42 KK842 one pair 384 1.53% 1 : 64.2 3.07%
91 32 KK832 one pair 384 1.53% 1 : 64.2 1.53%