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 88884 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 84 88844 full house 24 0.10% 1 : 1043 99.98%
3 44 88444 full house 24 0.10% 1 : 1043 99.89%
 
4 A8 A8884 three of a kind 64 0.26% 1 : 390 99.79%
5 K8 K8884 three of a kind 64 0.26% 1 : 390 99.54%
6 Q8 Q8884 three of a kind 64 0.26% 1 : 390 99.28%
7 J8 J8884 three of a kind 64 0.26% 1 : 390 99.03%
8 T8 T8884 three of a kind 64 0.26% 1 : 390 98.77%
9 98 98884 three of a kind 64 0.26% 1 : 390 98.51%
10 87 88874 three of a kind 64 0.26% 1 : 390 98.26%
11 86 88864 three of a kind 64 0.26% 1 : 390 98.00%
12 85 88854 three of a kind 64 0.26% 1 : 390 97.75%
13 83 88843 three of a kind 64 0.26% 1 : 390 97.49%
14 82 88842 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA884 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK884 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ884 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ884 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT884 two pairs 144 0.57% 1 : 173 94.68%
20 99 99884 two pairs 144 0.57% 1 : 173 94.11%
21 77 88774 two pairs 144 0.57% 1 : 173 93.53%
22 66 88664 two pairs 144 0.57% 1 : 173 92.96%
23 55 88554 two pairs 144 0.57% 1 : 173 92.38%
24 A4 A8844 two pairs 144 0.57% 1 : 173 91.81%
25 K4 K8844 two pairs 144 0.57% 1 : 173 91.23%
26 Q4 Q8844 two pairs 144 0.57% 1 : 173 90.66%
27 J4 J8844 two pairs 144 0.57% 1 : 173 90.08%
28 T4 T8844 two pairs 144 0.57% 1 : 173 89.51%
29 94 98844 two pairs 144 0.57% 1 : 173 88.93%
30 74 88744 two pairs 144 0.57% 1 : 173 88.36%
31 64 88644 two pairs 144 0.57% 1 : 173 87.78%
32 54 88544 two pairs 144 0.57% 1 : 173 87.21%
33 43 88443 two pairs 144 0.57% 1 : 173 86.63%
34 42 88442 two pairs 144 0.57% 1 : 173 86.06%
35 33 88433 two pairs 144 0.57% 1 : 173 85.48%
36 22 88422 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK884 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ884 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ884 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT884 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9884 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A8874 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A8864 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A8854 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A8843 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A8842 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ884 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ884 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT884 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9884 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K8874 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K8864 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K8854 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K8843 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K8842 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ884 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT884 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9884 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q8874 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q8864 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q8854 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q8843 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q8842 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT884 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9884 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J8874 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J8864 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J8854 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J8843 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J8842 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9884 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T8874 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T8864 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T8854 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T8843 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T8842 one pair 384 1.53% 1 : 64.2 24.53%
77 97 98874 one pair 384 1.53% 1 : 64.2 23.00%
78 96 98864 one pair 384 1.53% 1 : 64.2 21.47%
79 95 98854 one pair 384 1.53% 1 : 64.2 19.93%
80 93 98843 one pair 384 1.53% 1 : 64.2 18.40%
81 92 98842 one pair 384 1.53% 1 : 64.2 16.87%
82 76 88764 one pair 384 1.53% 1 : 64.2 15.33%
83 75 88754 one pair 384 1.53% 1 : 64.2 13.80%
84 73 88743 one pair 384 1.53% 1 : 64.2 12.27%
85 72 88742 one pair 384 1.53% 1 : 64.2 10.73%
86 65 88654 one pair 384 1.53% 1 : 64.2 9.20%
87 63 88643 one pair 384 1.53% 1 : 64.2 7.67%
88 62 88642 one pair 384 1.53% 1 : 64.2 6.13%
89 53 88543 one pair 384 1.53% 1 : 64.2 4.60%
90 52 88542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 88432 one pair 384 1.53% 1 : 64.2 1.53%