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 88886 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 86 88866 full house 24 0.10% 1 : 1043 99.98%
3 66 88666 full house 24 0.10% 1 : 1043 99.89%
 
4 A8 A8886 three of a kind 64 0.26% 1 : 390 99.79%
5 K8 K8886 three of a kind 64 0.26% 1 : 390 99.54%
6 Q8 Q8886 three of a kind 64 0.26% 1 : 390 99.28%
7 J8 J8886 three of a kind 64 0.26% 1 : 390 99.03%
8 T8 T8886 three of a kind 64 0.26% 1 : 390 98.77%
9 98 98886 three of a kind 64 0.26% 1 : 390 98.51%
10 87 88876 three of a kind 64 0.26% 1 : 390 98.26%
11 85 88865 three of a kind 64 0.26% 1 : 390 98.00%
12 84 88864 three of a kind 64 0.26% 1 : 390 97.75%
13 83 88863 three of a kind 64 0.26% 1 : 390 97.49%
14 82 88862 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA886 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK886 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ886 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ886 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT886 two pairs 144 0.57% 1 : 173 94.68%
20 99 99886 two pairs 144 0.57% 1 : 173 94.11%
21 77 88776 two pairs 144 0.57% 1 : 173 93.53%
22 A6 A8866 two pairs 144 0.57% 1 : 173 92.96%
23 K6 K8866 two pairs 144 0.57% 1 : 173 92.38%
24 Q6 Q8866 two pairs 144 0.57% 1 : 173 91.81%
25 J6 J8866 two pairs 144 0.57% 1 : 173 91.23%
26 T6 T8866 two pairs 144 0.57% 1 : 173 90.66%
27 96 98866 two pairs 144 0.57% 1 : 173 90.08%
28 76 88766 two pairs 144 0.57% 1 : 173 89.51%
29 65 88665 two pairs 144 0.57% 1 : 173 88.93%
30 64 88664 two pairs 144 0.57% 1 : 173 88.36%
31 63 88663 two pairs 144 0.57% 1 : 173 87.78%
32 62 88662 two pairs 144 0.57% 1 : 173 87.21%
33 55 88655 two pairs 144 0.57% 1 : 173 86.63%
34 44 88644 two pairs 144 0.57% 1 : 173 86.06%
35 33 88633 two pairs 144 0.57% 1 : 173 85.48%
36 22 88622 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK886 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ886 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ886 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT886 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9886 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A8876 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 A8865 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A8864 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A8863 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A8862 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ886 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ886 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT886 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9886 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K8876 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 K8865 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K8864 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K8863 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K8862 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ886 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT886 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9886 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q8876 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 Q8865 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q8864 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q8863 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q8862 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT886 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9886 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J8876 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 J8865 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J8864 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J8863 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J8862 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9886 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T8876 one pair 384 1.53% 1 : 64.2 30.67%
73 T5 T8865 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T8864 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T8863 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T8862 one pair 384 1.53% 1 : 64.2 24.53%
77 97 98876 one pair 384 1.53% 1 : 64.2 23.00%
78 95 98865 one pair 384 1.53% 1 : 64.2 21.47%
79 94 98864 one pair 384 1.53% 1 : 64.2 19.93%
80 93 98863 one pair 384 1.53% 1 : 64.2 18.40%
81 92 98862 one pair 384 1.53% 1 : 64.2 16.87%
82 75 88765 one pair 384 1.53% 1 : 64.2 15.33%
83 74 88764 one pair 384 1.53% 1 : 64.2 13.80%
84 73 88763 one pair 384 1.53% 1 : 64.2 12.27%
85 72 88762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 88654 one pair 384 1.53% 1 : 64.2 9.20%
87 53 88653 one pair 384 1.53% 1 : 64.2 7.67%
88 52 88652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 88643 one pair 384 1.53% 1 : 64.2 4.60%
90 42 88642 one pair 384 1.53% 1 : 64.2 3.07%
91 32 88632 one pair 384 1.53% 1 : 64.2 1.53%