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 99 99994 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 94 99944 full house 24 0.10% 1 : 1043 99.98%
3 44 99444 full house 24 0.10% 1 : 1043 99.89%
 
4 A9 A9994 three of a kind 64 0.26% 1 : 390 99.79%
5 K9 K9994 three of a kind 64 0.26% 1 : 390 99.54%
6 Q9 Q9994 three of a kind 64 0.26% 1 : 390 99.28%
7 J9 J9994 three of a kind 64 0.26% 1 : 390 99.03%
8 T9 T9994 three of a kind 64 0.26% 1 : 390 98.77%
9 98 99984 three of a kind 64 0.26% 1 : 390 98.51%
10 97 99974 three of a kind 64 0.26% 1 : 390 98.26%
11 96 99964 three of a kind 64 0.26% 1 : 390 98.00%
12 95 99954 three of a kind 64 0.26% 1 : 390 97.75%
13 93 99943 three of a kind 64 0.26% 1 : 390 97.49%
14 92 99942 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA994 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK994 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ994 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ994 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT994 two pairs 144 0.57% 1 : 173 94.68%
20 88 99884 two pairs 144 0.57% 1 : 173 94.11%
21 77 99774 two pairs 144 0.57% 1 : 173 93.53%
22 66 99664 two pairs 144 0.57% 1 : 173 92.96%
23 55 99554 two pairs 144 0.57% 1 : 173 92.38%
24 A4 A9944 two pairs 144 0.57% 1 : 173 91.81%
25 K4 K9944 two pairs 144 0.57% 1 : 173 91.23%
26 Q4 Q9944 two pairs 144 0.57% 1 : 173 90.66%
27 J4 J9944 two pairs 144 0.57% 1 : 173 90.08%
28 T4 T9944 two pairs 144 0.57% 1 : 173 89.51%
29 84 99844 two pairs 144 0.57% 1 : 173 88.93%
30 74 99744 two pairs 144 0.57% 1 : 173 88.36%
31 64 99644 two pairs 144 0.57% 1 : 173 87.78%
32 54 99544 two pairs 144 0.57% 1 : 173 87.21%
33 43 99443 two pairs 144 0.57% 1 : 173 86.63%
34 42 99442 two pairs 144 0.57% 1 : 173 86.06%
35 33 99433 two pairs 144 0.57% 1 : 173 85.48%
36 22 99422 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK994 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ994 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ994 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT994 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 A9984 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A9974 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A9964 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A9954 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A9943 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A9942 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ994 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ994 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT994 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 K9984 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K9974 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K9964 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K9954 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K9943 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K9942 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ994 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT994 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 Q9984 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q9974 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q9964 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q9954 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q9943 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q9942 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT994 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 J9984 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J9974 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J9964 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J9954 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J9943 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J9942 one pair 384 1.53% 1 : 64.2 33.73%
71 T8 T9984 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T9974 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T9964 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T9954 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T9943 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T9942 one pair 384 1.53% 1 : 64.2 24.53%
77 87 99874 one pair 384 1.53% 1 : 64.2 23.00%
78 86 99864 one pair 384 1.53% 1 : 64.2 21.47%
79 85 99854 one pair 384 1.53% 1 : 64.2 19.93%
80 83 99843 one pair 384 1.53% 1 : 64.2 18.40%
81 82 99842 one pair 384 1.53% 1 : 64.2 16.87%
82 76 99764 one pair 384 1.53% 1 : 64.2 15.33%
83 75 99754 one pair 384 1.53% 1 : 64.2 13.80%
84 73 99743 one pair 384 1.53% 1 : 64.2 12.27%
85 72 99742 one pair 384 1.53% 1 : 64.2 10.73%
86 65 99654 one pair 384 1.53% 1 : 64.2 9.20%
87 63 99643 one pair 384 1.53% 1 : 64.2 7.67%
88 62 99642 one pair 384 1.53% 1 : 64.2 6.13%
89 53 99543 one pair 384 1.53% 1 : 64.2 4.60%
90 52 99542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 99432 one pair 384 1.53% 1 : 64.2 1.53%