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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 99 99997 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 97 99977 full house 24 0.10% 1 : 1043 99.98%
3 77 99777 full house 24 0.10% 1 : 1043 99.89%
 
4 A9 A9997 three of a kind 64 0.26% 1 : 390 99.79%
5 K9 K9997 three of a kind 64 0.26% 1 : 390 99.54%
6 Q9 Q9997 three of a kind 64 0.26% 1 : 390 99.28%
7 J9 J9997 three of a kind 64 0.26% 1 : 390 99.03%
8 T9 T9997 three of a kind 64 0.26% 1 : 390 98.77%
9 98 99987 three of a kind 64 0.26% 1 : 390 98.51%
10 96 99976 three of a kind 64 0.26% 1 : 390 98.26%
11 95 99975 three of a kind 64 0.26% 1 : 390 98.00%
12 94 99974 three of a kind 64 0.26% 1 : 390 97.75%
13 93 99973 three of a kind 64 0.26% 1 : 390 97.49%
14 92 99972 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA997 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK997 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ997 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ997 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT997 two pairs 144 0.57% 1 : 173 94.68%
20 88 99887 two pairs 144 0.57% 1 : 173 94.11%
21 A7 A9977 two pairs 144 0.57% 1 : 173 93.53%
22 K7 K9977 two pairs 144 0.57% 1 : 173 92.96%
23 Q7 Q9977 two pairs 144 0.57% 1 : 173 92.38%
24 J7 J9977 two pairs 144 0.57% 1 : 173 91.81%
25 T7 T9977 two pairs 144 0.57% 1 : 173 91.23%
26 87 99877 two pairs 144 0.57% 1 : 173 90.66%
27 76 99776 two pairs 144 0.57% 1 : 173 90.08%
28 75 99775 two pairs 144 0.57% 1 : 173 89.51%
29 74 99774 two pairs 144 0.57% 1 : 173 88.93%
30 73 99773 two pairs 144 0.57% 1 : 173 88.36%
31 72 99772 two pairs 144 0.57% 1 : 173 87.78%
32 66 99766 two pairs 144 0.57% 1 : 173 87.21%
33 55 99755 two pairs 144 0.57% 1 : 173 86.63%
34 44 99744 two pairs 144 0.57% 1 : 173 86.06%
35 33 99733 two pairs 144 0.57% 1 : 173 85.48%
36 22 99722 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK997 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ997 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ997 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT997 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 A9987 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 A9976 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 A9975 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A9974 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A9973 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A9972 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ997 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ997 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT997 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 K9987 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 K9976 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 K9975 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K9974 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K9973 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K9972 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ997 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT997 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 Q9987 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 Q9976 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 Q9975 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q9974 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q9973 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q9972 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT997 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 J9987 one pair 384 1.53% 1 : 64.2 41.40%
66 J6 J9976 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 J9975 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J9974 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J9973 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J9972 one pair 384 1.53% 1 : 64.2 33.73%
71 T8 T9987 one pair 384 1.53% 1 : 64.2 32.20%
72 T6 T9976 one pair 384 1.53% 1 : 64.2 30.67%
73 T5 T9975 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T9974 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T9973 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T9972 one pair 384 1.53% 1 : 64.2 24.53%
77 86 99876 one pair 384 1.53% 1 : 64.2 23.00%
78 85 99875 one pair 384 1.53% 1 : 64.2 21.47%
79 84 99874 one pair 384 1.53% 1 : 64.2 19.93%
80 83 99873 one pair 384 1.53% 1 : 64.2 18.40%
81 82 99872 one pair 384 1.53% 1 : 64.2 16.87%
82 65 99765 one pair 384 1.53% 1 : 64.2 15.33%
83 64 99764 one pair 384 1.53% 1 : 64.2 13.80%
84 63 99763 one pair 384 1.53% 1 : 64.2 12.27%
85 62 99762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 99754 one pair 384 1.53% 1 : 64.2 9.20%
87 53 99753 one pair 384 1.53% 1 : 64.2 7.67%
88 52 99752 one pair 384 1.53% 1 : 64.2 6.13%
89 43 99743 one pair 384 1.53% 1 : 64.2 4.60%
90 42 99742 one pair 384 1.53% 1 : 64.2 3.07%
91 32 99732 one pair 384 1.53% 1 : 64.2 1.53%