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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 88 88882 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 82 88822 full house 24 0.10% 1 : 1043 99.98%
3 22 88222 full house 24 0.10% 1 : 1043 99.89%
 
4 A8 A8882 three of a kind 64 0.26% 1 : 390 99.79%
5 K8 K8882 three of a kind 64 0.26% 1 : 390 99.54%
6 Q8 Q8882 three of a kind 64 0.26% 1 : 390 99.28%
7 J8 J8882 three of a kind 64 0.26% 1 : 390 99.03%
8 T8 T8882 three of a kind 64 0.26% 1 : 390 98.77%
9 98 98882 three of a kind 64 0.26% 1 : 390 98.51%
10 87 88872 three of a kind 64 0.26% 1 : 390 98.26%
11 86 88862 three of a kind 64 0.26% 1 : 390 98.00%
12 85 88852 three of a kind 64 0.26% 1 : 390 97.75%
13 84 88842 three of a kind 64 0.26% 1 : 390 97.49%
14 83 88832 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA882 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK882 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ882 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ882 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT882 two pairs 144 0.57% 1 : 173 94.68%
20 99 99882 two pairs 144 0.57% 1 : 173 94.11%
21 77 88772 two pairs 144 0.57% 1 : 173 93.53%
22 66 88662 two pairs 144 0.57% 1 : 173 92.96%
23 55 88552 two pairs 144 0.57% 1 : 173 92.38%
24 44 88442 two pairs 144 0.57% 1 : 173 91.81%
25 33 88332 two pairs 144 0.57% 1 : 173 91.23%
26 A2 A8822 two pairs 144 0.57% 1 : 173 90.66%
27 K2 K8822 two pairs 144 0.57% 1 : 173 90.08%
28 Q2 Q8822 two pairs 144 0.57% 1 : 173 89.51%
29 J2 J8822 two pairs 144 0.57% 1 : 173 88.93%
30 T2 T8822 two pairs 144 0.57% 1 : 173 88.36%
31 92 98822 two pairs 144 0.57% 1 : 173 87.78%
32 72 88722 two pairs 144 0.57% 1 : 173 87.21%
33 62 88622 two pairs 144 0.57% 1 : 173 86.63%
34 52 88522 two pairs 144 0.57% 1 : 173 86.06%
35 42 88422 two pairs 144 0.57% 1 : 173 85.48%
36 32 88322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK882 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ882 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ882 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT882 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9882 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A8872 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A8862 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A8852 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 A8842 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 A8832 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ882 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ882 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT882 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9882 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K8872 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K8862 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K8852 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 K8842 one pair 384 1.53% 1 : 64.2 58.27%
55 K3 K8832 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ882 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT882 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9882 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q8872 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q8862 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q8852 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 Q8842 one pair 384 1.53% 1 : 64.2 46.00%
63 Q3 Q8832 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT882 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9882 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J8872 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J8862 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J8852 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 J8842 one pair 384 1.53% 1 : 64.2 35.27%
70 J3 J8832 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9882 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T8872 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T8862 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T8852 one pair 384 1.53% 1 : 64.2 27.60%
75 T4 T8842 one pair 384 1.53% 1 : 64.2 26.07%
76 T3 T8832 one pair 384 1.53% 1 : 64.2 24.53%
77 97 98872 one pair 384 1.53% 1 : 64.2 23.00%
78 96 98862 one pair 384 1.53% 1 : 64.2 21.47%
79 95 98852 one pair 384 1.53% 1 : 64.2 19.93%
80 94 98842 one pair 384 1.53% 1 : 64.2 18.40%
81 93 98832 one pair 384 1.53% 1 : 64.2 16.87%
82 76 88762 one pair 384 1.53% 1 : 64.2 15.33%
83 75 88752 one pair 384 1.53% 1 : 64.2 13.80%
84 74 88742 one pair 384 1.53% 1 : 64.2 12.27%
85 73 88732 one pair 384 1.53% 1 : 64.2 10.73%
86 65 88652 one pair 384 1.53% 1 : 64.2 9.20%
87 64 88642 one pair 384 1.53% 1 : 64.2 7.67%
88 63 88632 one pair 384 1.53% 1 : 64.2 6.13%
89 54 88542 one pair 384 1.53% 1 : 64.2 4.60%
90 53 88532 one pair 384 1.53% 1 : 64.2 3.07%
91 43 88432 one pair 384 1.53% 1 : 64.2 1.53%