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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 88883 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 83 88833 full house 24 0.10% 1 : 1043 99.98%
3 33 88333 full house 24 0.10% 1 : 1043 99.89%
 
4 A8 A8883 three of a kind 64 0.26% 1 : 390 99.79%
5 K8 K8883 three of a kind 64 0.26% 1 : 390 99.54%
6 Q8 Q8883 three of a kind 64 0.26% 1 : 390 99.28%
7 J8 J8883 three of a kind 64 0.26% 1 : 390 99.03%
8 T8 T8883 three of a kind 64 0.26% 1 : 390 98.77%
9 98 98883 three of a kind 64 0.26% 1 : 390 98.51%
10 87 88873 three of a kind 64 0.26% 1 : 390 98.26%
11 86 88863 three of a kind 64 0.26% 1 : 390 98.00%
12 85 88853 three of a kind 64 0.26% 1 : 390 97.75%
13 84 88843 three of a kind 64 0.26% 1 : 390 97.49%
14 82 88832 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA883 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK883 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ883 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ883 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT883 two pairs 144 0.57% 1 : 173 94.68%
20 99 99883 two pairs 144 0.57% 1 : 173 94.11%
21 77 88773 two pairs 144 0.57% 1 : 173 93.53%
22 66 88663 two pairs 144 0.57% 1 : 173 92.96%
23 55 88553 two pairs 144 0.57% 1 : 173 92.38%
24 44 88443 two pairs 144 0.57% 1 : 173 91.81%
25 A3 A8833 two pairs 144 0.57% 1 : 173 91.23%
26 K3 K8833 two pairs 144 0.57% 1 : 173 90.66%
27 Q3 Q8833 two pairs 144 0.57% 1 : 173 90.08%
28 J3 J8833 two pairs 144 0.57% 1 : 173 89.51%
29 T3 T8833 two pairs 144 0.57% 1 : 173 88.93%
30 93 98833 two pairs 144 0.57% 1 : 173 88.36%
31 73 88733 two pairs 144 0.57% 1 : 173 87.78%
32 63 88633 two pairs 144 0.57% 1 : 173 87.21%
33 53 88533 two pairs 144 0.57% 1 : 173 86.63%
34 43 88433 two pairs 144 0.57% 1 : 173 86.06%
35 32 88332 two pairs 144 0.57% 1 : 173 85.48%
36 22 88322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK883 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ883 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ883 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT883 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9883 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A8873 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A8863 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A8853 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 A8843 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A8832 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ883 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ883 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT883 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9883 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K8873 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K8863 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K8853 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 K8843 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K8832 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ883 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT883 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9883 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q8873 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q8863 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q8853 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 Q8843 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q8832 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT883 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9883 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J8873 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J8863 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J8853 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 J8843 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J8832 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9883 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T8873 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T8863 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T8853 one pair 384 1.53% 1 : 64.2 27.60%
75 T4 T8843 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T8832 one pair 384 1.53% 1 : 64.2 24.53%
77 97 98873 one pair 384 1.53% 1 : 64.2 23.00%
78 96 98863 one pair 384 1.53% 1 : 64.2 21.47%
79 95 98853 one pair 384 1.53% 1 : 64.2 19.93%
80 94 98843 one pair 384 1.53% 1 : 64.2 18.40%
81 92 98832 one pair 384 1.53% 1 : 64.2 16.87%
82 76 88763 one pair 384 1.53% 1 : 64.2 15.33%
83 75 88753 one pair 384 1.53% 1 : 64.2 13.80%
84 74 88743 one pair 384 1.53% 1 : 64.2 12.27%
85 72 88732 one pair 384 1.53% 1 : 64.2 10.73%
86 65 88653 one pair 384 1.53% 1 : 64.2 9.20%
87 64 88643 one pair 384 1.53% 1 : 64.2 7.67%
88 62 88632 one pair 384 1.53% 1 : 64.2 6.13%
89 54 88543 one pair 384 1.53% 1 : 64.2 4.60%
90 52 88532 one pair 384 1.53% 1 : 64.2 3.07%
91 42 88432 one pair 384 1.53% 1 : 64.2 1.53%