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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 KKKK5 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 K5 KKK55 full house 24 0.10% 1 : 1043 99.98%
3 55 KK555 full house 24 0.10% 1 : 1043 99.89%
 
4 AK AKKK5 three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KKKQ5 three of a kind 64 0.26% 1 : 390 99.54%
6 KJ KKKJ5 three of a kind 64 0.26% 1 : 390 99.28%
7 KT KKKT5 three of a kind 64 0.26% 1 : 390 99.03%
8 K9 KKK95 three of a kind 64 0.26% 1 : 390 98.77%
9 K8 KKK85 three of a kind 64 0.26% 1 : 390 98.51%
10 K7 KKK75 three of a kind 64 0.26% 1 : 390 98.26%
11 K6 KKK65 three of a kind 64 0.26% 1 : 390 98.00%
12 K4 KKK54 three of a kind 64 0.26% 1 : 390 97.75%
13 K3 KKK53 three of a kind 64 0.26% 1 : 390 97.49%
14 K2 KKK52 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAKK5 two pairs 144 0.57% 1 : 173 96.98%
16 QQ KKQQ5 two pairs 144 0.57% 1 : 173 96.41%
17 JJ KKJJ5 two pairs 144 0.57% 1 : 173 95.83%
18 TT KKTT5 two pairs 144 0.57% 1 : 173 95.26%
19 99 KK995 two pairs 144 0.57% 1 : 173 94.68%
20 88 KK885 two pairs 144 0.57% 1 : 173 94.11%
21 77 KK775 two pairs 144 0.57% 1 : 173 93.53%
22 66 KK665 two pairs 144 0.57% 1 : 173 92.96%
23 A5 AKK55 two pairs 144 0.57% 1 : 173 92.38%
24 Q5 KKQ55 two pairs 144 0.57% 1 : 173 91.81%
25 J5 KKJ55 two pairs 144 0.57% 1 : 173 91.23%
26 T5 KKT55 two pairs 144 0.57% 1 : 173 90.66%
27 95 KK955 two pairs 144 0.57% 1 : 173 90.08%
28 85 KK855 two pairs 144 0.57% 1 : 173 89.51%
29 75 KK755 two pairs 144 0.57% 1 : 173 88.93%
30 65 KK655 two pairs 144 0.57% 1 : 173 88.36%
31 54 KK554 two pairs 144 0.57% 1 : 173 87.78%
32 53 KK553 two pairs 144 0.57% 1 : 173 87.21%
33 52 KK552 two pairs 144 0.57% 1 : 173 86.63%
34 44 KK544 two pairs 144 0.57% 1 : 173 86.06%
35 33 KK533 two pairs 144 0.57% 1 : 173 85.48%
36 22 KK522 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKKQ5 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AKKJ5 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AKKT5 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AKK95 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AKK85 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AKK75 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AKK65 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AKK54 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AKK53 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AKK52 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ KKQJ5 one pair 384 1.53% 1 : 64.2 69.00%
48 QT KKQT5 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 KKQ95 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 KKQ85 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 KKQ75 one pair 384 1.53% 1 : 64.2 62.87%
52 Q6 KKQ65 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 KKQ54 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 KKQ53 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 KKQ52 one pair 384 1.53% 1 : 64.2 56.73%
56 JT KKJT5 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 KKJ95 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 KKJ85 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 KKJ75 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 KKJ65 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 KKJ54 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 KKJ53 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 KKJ52 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 KKT95 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 KKT85 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 KKT75 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 KKT65 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 KKT54 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 KKT53 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 KKT52 one pair 384 1.53% 1 : 64.2 33.73%
71 98 KK985 one pair 384 1.53% 1 : 64.2 32.20%
72 97 KK975 one pair 384 1.53% 1 : 64.2 30.67%
73 96 KK965 one pair 384 1.53% 1 : 64.2 29.13%
74 94 KK954 one pair 384 1.53% 1 : 64.2 27.60%
75 93 KK953 one pair 384 1.53% 1 : 64.2 26.07%
76 92 KK952 one pair 384 1.53% 1 : 64.2 24.53%
77 87 KK875 one pair 384 1.53% 1 : 64.2 23.00%
78 86 KK865 one pair 384 1.53% 1 : 64.2 21.47%
79 84 KK854 one pair 384 1.53% 1 : 64.2 19.93%
80 83 KK853 one pair 384 1.53% 1 : 64.2 18.40%
81 82 KK852 one pair 384 1.53% 1 : 64.2 16.87%
82 76 KK765 one pair 384 1.53% 1 : 64.2 15.33%
83 74 KK754 one pair 384 1.53% 1 : 64.2 13.80%
84 73 KK753 one pair 384 1.53% 1 : 64.2 12.27%
85 72 KK752 one pair 384 1.53% 1 : 64.2 10.73%
86 64 KK654 one pair 384 1.53% 1 : 64.2 9.20%
87 63 KK653 one pair 384 1.53% 1 : 64.2 7.67%
88 62 KK652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 KK543 one pair 384 1.53% 1 : 64.2 4.60%
90 42 KK542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 KK532 one pair 384 1.53% 1 : 64.2 1.53%