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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 AA AAAA7 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 A7 AAA77 full house 24 0.10% 1 : 1043 99.98%
3 77 AA777 full house 24 0.10% 1 : 1043 99.89%
 
4 AK AAAK7 three of a kind 64 0.26% 1 : 390 99.79%
5 AQ AAAQ7 three of a kind 64 0.26% 1 : 390 99.54%
6 AJ AAAJ7 three of a kind 64 0.26% 1 : 390 99.28%
7 AT AAAT7 three of a kind 64 0.26% 1 : 390 99.03%
8 A9 AAA97 three of a kind 64 0.26% 1 : 390 98.77%
9 A8 AAA87 three of a kind 64 0.26% 1 : 390 98.51%
10 A6 AAA76 three of a kind 64 0.26% 1 : 390 98.26%
11 A5 AAA75 three of a kind 64 0.26% 1 : 390 98.00%
12 A4 AAA74 three of a kind 64 0.26% 1 : 390 97.75%
13 A3 AAA73 three of a kind 64 0.26% 1 : 390 97.49%
14 A2 AAA72 three of a kind 64 0.26% 1 : 390 97.24%
 
15 KK AAKK7 two pairs 144 0.57% 1 : 173 96.98%
16 QQ AAQQ7 two pairs 144 0.57% 1 : 173 96.41%
17 JJ AAJJ7 two pairs 144 0.57% 1 : 173 95.83%
18 TT AATT7 two pairs 144 0.57% 1 : 173 95.26%
19 99 AA997 two pairs 144 0.57% 1 : 173 94.68%
20 88 AA887 two pairs 144 0.57% 1 : 173 94.11%
21 K7 AAK77 two pairs 144 0.57% 1 : 173 93.53%
22 Q7 AAQ77 two pairs 144 0.57% 1 : 173 92.96%
23 J7 AAJ77 two pairs 144 0.57% 1 : 173 92.38%
24 T7 AAT77 two pairs 144 0.57% 1 : 173 91.81%
25 97 AA977 two pairs 144 0.57% 1 : 173 91.23%
26 87 AA877 two pairs 144 0.57% 1 : 173 90.66%
27 76 AA776 two pairs 144 0.57% 1 : 173 90.08%
28 75 AA775 two pairs 144 0.57% 1 : 173 89.51%
29 74 AA774 two pairs 144 0.57% 1 : 173 88.93%
30 73 AA773 two pairs 144 0.57% 1 : 173 88.36%
31 72 AA772 two pairs 144 0.57% 1 : 173 87.78%
32 66 AA766 two pairs 144 0.57% 1 : 173 87.21%
33 55 AA755 two pairs 144 0.57% 1 : 173 86.63%
34 44 AA744 two pairs 144 0.57% 1 : 173 86.06%
35 33 AA733 two pairs 144 0.57% 1 : 173 85.48%
36 22 AA722 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AAKQ7 one pair 384 1.53% 1 : 64.2 84.33%
38 KJ AAKJ7 one pair 384 1.53% 1 : 64.2 82.80%
39 KT AAKT7 one pair 384 1.53% 1 : 64.2 81.26%
40 K9 AAK97 one pair 384 1.53% 1 : 64.2 79.73%
41 K8 AAK87 one pair 384 1.53% 1 : 64.2 78.20%
42 K6 AAK76 one pair 384 1.53% 1 : 64.2 76.67%
43 K5 AAK75 one pair 384 1.53% 1 : 64.2 75.13%
44 K4 AAK74 one pair 384 1.53% 1 : 64.2 73.60%
45 K3 AAK73 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AAK72 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ AAQJ7 one pair 384 1.53% 1 : 64.2 69.00%
48 QT AAQT7 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 AAQ97 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 AAQ87 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 AAQ76 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 AAQ75 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 AAQ74 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 AAQ73 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 AAQ72 one pair 384 1.53% 1 : 64.2 56.73%
56 JT AAJT7 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 AAJ97 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 AAJ87 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 AAJ76 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 AAJ75 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 AAJ74 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 AAJ73 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 AAJ72 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 AAT97 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 AAT87 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 AAT76 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 AAT75 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 AAT74 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 AAT73 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 AAT72 one pair 384 1.53% 1 : 64.2 33.73%
71 98 AA987 one pair 384 1.53% 1 : 64.2 32.20%
72 96 AA976 one pair 384 1.53% 1 : 64.2 30.67%
73 95 AA975 one pair 384 1.53% 1 : 64.2 29.13%
74 94 AA974 one pair 384 1.53% 1 : 64.2 27.60%
75 93 AA973 one pair 384 1.53% 1 : 64.2 26.07%
76 92 AA972 one pair 384 1.53% 1 : 64.2 24.53%
77 86 AA876 one pair 384 1.53% 1 : 64.2 23.00%
78 85 AA875 one pair 384 1.53% 1 : 64.2 21.47%
79 84 AA874 one pair 384 1.53% 1 : 64.2 19.93%
80 83 AA873 one pair 384 1.53% 1 : 64.2 18.40%
81 82 AA872 one pair 384 1.53% 1 : 64.2 16.87%
82 65 AA765 one pair 384 1.53% 1 : 64.2 15.33%
83 64 AA764 one pair 384 1.53% 1 : 64.2 13.80%
84 63 AA763 one pair 384 1.53% 1 : 64.2 12.27%
85 62 AA762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 AA754 one pair 384 1.53% 1 : 64.2 9.20%
87 53 AA753 one pair 384 1.53% 1 : 64.2 7.67%
88 52 AA752 one pair 384 1.53% 1 : 64.2 6.13%
89 43 AA743 one pair 384 1.53% 1 : 64.2 4.60%
90 42 AA742 one pair 384 1.53% 1 : 64.2 3.07%
91 32 AA732 one pair 384 1.53% 1 : 64.2 1.53%