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 95555 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 99 99955 full house 24 0.10% 1 : 1043 99.98%
3 95 99555 full house 24 0.10% 1 : 1043 99.89%
 
4 A5 A9555 three of a kind 64 0.26% 1 : 390 99.79%
5 K5 K9555 three of a kind 64 0.26% 1 : 390 99.54%
6 Q5 Q9555 three of a kind 64 0.26% 1 : 390 99.28%
7 J5 J9555 three of a kind 64 0.26% 1 : 390 99.03%
8 T5 T9555 three of a kind 64 0.26% 1 : 390 98.77%
9 85 98555 three of a kind 64 0.26% 1 : 390 98.51%
10 75 97555 three of a kind 64 0.26% 1 : 390 98.26%
11 65 96555 three of a kind 64 0.26% 1 : 390 98.00%
12 54 95554 three of a kind 64 0.26% 1 : 390 97.75%
13 53 95553 three of a kind 64 0.26% 1 : 390 97.49%
14 52 95552 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA955 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK955 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ955 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ955 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT955 two pairs 144 0.57% 1 : 173 94.68%
20 A9 A9955 two pairs 144 0.57% 1 : 173 94.11%
21 K9 K9955 two pairs 144 0.57% 1 : 173 93.53%
22 Q9 Q9955 two pairs 144 0.57% 1 : 173 92.96%
23 J9 J9955 two pairs 144 0.57% 1 : 173 92.38%
24 T9 T9955 two pairs 144 0.57% 1 : 173 91.81%
25 98 99855 two pairs 144 0.57% 1 : 173 91.23%
26 97 99755 two pairs 144 0.57% 1 : 173 90.66%
27 96 99655 two pairs 144 0.57% 1 : 173 90.08%
28 94 99554 two pairs 144 0.57% 1 : 173 89.51%
29 93 99553 two pairs 144 0.57% 1 : 173 88.93%
30 92 99552 two pairs 144 0.57% 1 : 173 88.36%
31 88 98855 two pairs 144 0.57% 1 : 173 87.78%
32 77 97755 two pairs 144 0.57% 1 : 173 87.21%
33 66 96655 two pairs 144 0.57% 1 : 173 86.63%
34 44 95544 two pairs 144 0.57% 1 : 173 86.06%
35 33 95533 two pairs 144 0.57% 1 : 173 85.48%
36 22 95522 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK955 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ955 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ955 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT955 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 A9855 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A9755 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A9655 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A9554 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A9553 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A9552 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ955 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ955 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT955 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 K9855 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K9755 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K9655 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K9554 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K9553 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K9552 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ955 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT955 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 Q9855 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q9755 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q9655 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q9554 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q9553 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q9552 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT955 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 J9855 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J9755 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J9655 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J9554 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J9553 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J9552 one pair 384 1.53% 1 : 64.2 33.73%
71 T8 T9855 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T9755 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T9655 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T9554 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T9553 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T9552 one pair 384 1.53% 1 : 64.2 24.53%
77 87 98755 one pair 384 1.53% 1 : 64.2 23.00%
78 86 98655 one pair 384 1.53% 1 : 64.2 21.47%
79 84 98554 one pair 384 1.53% 1 : 64.2 19.93%
80 83 98553 one pair 384 1.53% 1 : 64.2 18.40%
81 82 98552 one pair 384 1.53% 1 : 64.2 16.87%
82 76 97655 one pair 384 1.53% 1 : 64.2 15.33%
83 74 97554 one pair 384 1.53% 1 : 64.2 13.80%
84 73 97553 one pair 384 1.53% 1 : 64.2 12.27%
85 72 97552 one pair 384 1.53% 1 : 64.2 10.73%
86 64 96554 one pair 384 1.53% 1 : 64.2 9.20%
87 63 96553 one pair 384 1.53% 1 : 64.2 7.67%
88 62 96552 one pair 384 1.53% 1 : 64.2 6.13%
89 43 95543 one pair 384 1.53% 1 : 64.2 4.60%
90 42 95542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 95532 one pair 384 1.53% 1 : 64.2 1.53%