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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 KKKK7 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 K7 KKK77 full house 24 0.10% 1 : 1043 99.98%
3 77 KK777 full house 24 0.10% 1 : 1043 99.89%
 
4 AK AKKK7 three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KKKQ7 three of a kind 64 0.26% 1 : 390 99.54%
6 KJ KKKJ7 three of a kind 64 0.26% 1 : 390 99.28%
7 KT KKKT7 three of a kind 64 0.26% 1 : 390 99.03%
8 K9 KKK97 three of a kind 64 0.26% 1 : 390 98.77%
9 K8 KKK87 three of a kind 64 0.26% 1 : 390 98.51%
10 K6 KKK76 three of a kind 64 0.26% 1 : 390 98.26%
11 K5 KKK75 three of a kind 64 0.26% 1 : 390 98.00%
12 K4 KKK74 three of a kind 64 0.26% 1 : 390 97.75%
13 K3 KKK73 three of a kind 64 0.26% 1 : 390 97.49%
14 K2 KKK72 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAKK7 two pairs 144 0.57% 1 : 173 96.98%
16 QQ KKQQ7 two pairs 144 0.57% 1 : 173 96.41%
17 JJ KKJJ7 two pairs 144 0.57% 1 : 173 95.83%
18 TT KKTT7 two pairs 144 0.57% 1 : 173 95.26%
19 99 KK997 two pairs 144 0.57% 1 : 173 94.68%
20 88 KK887 two pairs 144 0.57% 1 : 173 94.11%
21 A7 AKK77 two pairs 144 0.57% 1 : 173 93.53%
22 Q7 KKQ77 two pairs 144 0.57% 1 : 173 92.96%
23 J7 KKJ77 two pairs 144 0.57% 1 : 173 92.38%
24 T7 KKT77 two pairs 144 0.57% 1 : 173 91.81%
25 97 KK977 two pairs 144 0.57% 1 : 173 91.23%
26 87 KK877 two pairs 144 0.57% 1 : 173 90.66%
27 76 KK776 two pairs 144 0.57% 1 : 173 90.08%
28 75 KK775 two pairs 144 0.57% 1 : 173 89.51%
29 74 KK774 two pairs 144 0.57% 1 : 173 88.93%
30 73 KK773 two pairs 144 0.57% 1 : 173 88.36%
31 72 KK772 two pairs 144 0.57% 1 : 173 87.78%
32 66 KK766 two pairs 144 0.57% 1 : 173 87.21%
33 55 KK755 two pairs 144 0.57% 1 : 173 86.63%
34 44 KK744 two pairs 144 0.57% 1 : 173 86.06%
35 33 KK733 two pairs 144 0.57% 1 : 173 85.48%
36 22 KK722 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKKQ7 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AKKJ7 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AKKT7 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AKK97 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AKK87 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AKK76 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AKK75 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AKK74 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AKK73 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AKK72 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ KKQJ7 one pair 384 1.53% 1 : 64.2 69.00%
48 QT KKQT7 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 KKQ97 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 KKQ87 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 KKQ76 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 KKQ75 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 KKQ74 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 KKQ73 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 KKQ72 one pair 384 1.53% 1 : 64.2 56.73%
56 JT KKJT7 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 KKJ97 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 KKJ87 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 KKJ76 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 KKJ75 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 KKJ74 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 KKJ73 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 KKJ72 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 KKT97 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 KKT87 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 KKT76 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 KKT75 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 KKT74 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 KKT73 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 KKT72 one pair 384 1.53% 1 : 64.2 33.73%
71 98 KK987 one pair 384 1.53% 1 : 64.2 32.20%
72 96 KK976 one pair 384 1.53% 1 : 64.2 30.67%
73 95 KK975 one pair 384 1.53% 1 : 64.2 29.13%
74 94 KK974 one pair 384 1.53% 1 : 64.2 27.60%
75 93 KK973 one pair 384 1.53% 1 : 64.2 26.07%
76 92 KK972 one pair 384 1.53% 1 : 64.2 24.53%
77 86 KK876 one pair 384 1.53% 1 : 64.2 23.00%
78 85 KK875 one pair 384 1.53% 1 : 64.2 21.47%
79 84 KK874 one pair 384 1.53% 1 : 64.2 19.93%
80 83 KK873 one pair 384 1.53% 1 : 64.2 18.40%
81 82 KK872 one pair 384 1.53% 1 : 64.2 16.87%
82 65 KK765 one pair 384 1.53% 1 : 64.2 15.33%
83 64 KK764 one pair 384 1.53% 1 : 64.2 13.80%
84 63 KK763 one pair 384 1.53% 1 : 64.2 12.27%
85 62 KK762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 KK754 one pair 384 1.53% 1 : 64.2 9.20%
87 53 KK753 one pair 384 1.53% 1 : 64.2 7.67%
88 52 KK752 one pair 384 1.53% 1 : 64.2 6.13%
89 43 KK743 one pair 384 1.53% 1 : 64.2 4.60%
90 42 KK742 one pair 384 1.53% 1 : 64.2 3.07%
91 32 KK732 one pair 384 1.53% 1 : 64.2 1.53%