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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 55 85555 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 88 88855 full house 24 0.10% 1 : 1043 99.98%
3 85 88555 full house 24 0.10% 1 : 1043 99.89%
 
4 A5 A8555 three of a kind 64 0.26% 1 : 390 99.79%
5 K5 K8555 three of a kind 64 0.26% 1 : 390 99.54%
6 Q5 Q8555 three of a kind 64 0.26% 1 : 390 99.28%
7 J5 J8555 three of a kind 64 0.26% 1 : 390 99.03%
8 T5 T8555 three of a kind 64 0.26% 1 : 390 98.77%
9 95 98555 three of a kind 64 0.26% 1 : 390 98.51%
10 75 87555 three of a kind 64 0.26% 1 : 390 98.26%
11 65 86555 three of a kind 64 0.26% 1 : 390 98.00%
12 54 85554 three of a kind 64 0.26% 1 : 390 97.75%
13 53 85553 three of a kind 64 0.26% 1 : 390 97.49%
14 52 85552 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA855 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK855 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ855 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ855 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT855 two pairs 144 0.57% 1 : 173 94.68%
20 99 99855 two pairs 144 0.57% 1 : 173 94.11%
21 A8 A8855 two pairs 144 0.57% 1 : 173 93.53%
22 K8 K8855 two pairs 144 0.57% 1 : 173 92.96%
23 Q8 Q8855 two pairs 144 0.57% 1 : 173 92.38%
24 J8 J8855 two pairs 144 0.57% 1 : 173 91.81%
25 T8 T8855 two pairs 144 0.57% 1 : 173 91.23%
26 98 98855 two pairs 144 0.57% 1 : 173 90.66%
27 87 88755 two pairs 144 0.57% 1 : 173 90.08%
28 86 88655 two pairs 144 0.57% 1 : 173 89.51%
29 84 88554 two pairs 144 0.57% 1 : 173 88.93%
30 83 88553 two pairs 144 0.57% 1 : 173 88.36%
31 82 88552 two pairs 144 0.57% 1 : 173 87.78%
32 77 87755 two pairs 144 0.57% 1 : 173 87.21%
33 66 86655 two pairs 144 0.57% 1 : 173 86.63%
34 44 85544 two pairs 144 0.57% 1 : 173 86.06%
35 33 85533 two pairs 144 0.57% 1 : 173 85.48%
36 22 85522 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK855 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ855 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ855 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT855 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9855 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A8755 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A8655 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A8554 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A8553 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A8552 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ855 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ855 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT855 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9855 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K8755 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K8655 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K8554 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K8553 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K8552 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ855 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT855 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9855 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q8755 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q8655 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q8554 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q8553 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q8552 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT855 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9855 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J8755 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J8655 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J8554 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J8553 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J8552 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9855 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T8755 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T8655 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T8554 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T8553 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T8552 one pair 384 1.53% 1 : 64.2 24.53%
77 97 98755 one pair 384 1.53% 1 : 64.2 23.00%
78 96 98655 one pair 384 1.53% 1 : 64.2 21.47%
79 94 98554 one pair 384 1.53% 1 : 64.2 19.93%
80 93 98553 one pair 384 1.53% 1 : 64.2 18.40%
81 92 98552 one pair 384 1.53% 1 : 64.2 16.87%
82 76 87655 one pair 384 1.53% 1 : 64.2 15.33%
83 74 87554 one pair 384 1.53% 1 : 64.2 13.80%
84 73 87553 one pair 384 1.53% 1 : 64.2 12.27%
85 72 87552 one pair 384 1.53% 1 : 64.2 10.73%
86 64 86554 one pair 384 1.53% 1 : 64.2 9.20%
87 63 86553 one pair 384 1.53% 1 : 64.2 7.67%
88 62 86552 one pair 384 1.53% 1 : 64.2 6.13%
89 43 85543 one pair 384 1.53% 1 : 64.2 4.60%
90 42 85542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 85532 one pair 384 1.53% 1 : 64.2 1.53%