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 33 43333 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 44 44433 full house 24 0.10% 1 : 1043 99.98%
3 43 44333 full house 24 0.10% 1 : 1043 99.89%
 
4 A3 A4333 three of a kind 64 0.26% 1 : 390 99.79%
5 K3 K4333 three of a kind 64 0.26% 1 : 390 99.54%
6 Q3 Q4333 three of a kind 64 0.26% 1 : 390 99.28%
7 J3 J4333 three of a kind 64 0.26% 1 : 390 99.03%
8 T3 T4333 three of a kind 64 0.26% 1 : 390 98.77%
9 93 94333 three of a kind 64 0.26% 1 : 390 98.51%
10 83 84333 three of a kind 64 0.26% 1 : 390 98.26%
11 73 74333 three of a kind 64 0.26% 1 : 390 98.00%
12 63 64333 three of a kind 64 0.26% 1 : 390 97.75%
13 53 54333 three of a kind 64 0.26% 1 : 390 97.49%
14 32 43332 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA433 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK433 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ433 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ433 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT433 two pairs 144 0.57% 1 : 173 94.68%
20 99 99433 two pairs 144 0.57% 1 : 173 94.11%
21 88 88433 two pairs 144 0.57% 1 : 173 93.53%
22 77 77433 two pairs 144 0.57% 1 : 173 92.96%
23 66 66433 two pairs 144 0.57% 1 : 173 92.38%
24 55 55433 two pairs 144 0.57% 1 : 173 91.81%
25 A4 A4433 two pairs 144 0.57% 1 : 173 91.23%
26 K4 K4433 two pairs 144 0.57% 1 : 173 90.66%
27 Q4 Q4433 two pairs 144 0.57% 1 : 173 90.08%
28 J4 J4433 two pairs 144 0.57% 1 : 173 89.51%
29 T4 T4433 two pairs 144 0.57% 1 : 173 88.93%
30 94 94433 two pairs 144 0.57% 1 : 173 88.36%
31 84 84433 two pairs 144 0.57% 1 : 173 87.78%
32 74 74433 two pairs 144 0.57% 1 : 173 87.21%
33 64 64433 two pairs 144 0.57% 1 : 173 86.63%
34 54 54433 two pairs 144 0.57% 1 : 173 86.06%
35 42 44332 two pairs 144 0.57% 1 : 173 85.48%
36 22 43322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK433 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ433 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ433 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT433 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9433 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8433 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7433 one pair 384 1.53% 1 : 64.2 75.13%
44 A6 A6433 one pair 384 1.53% 1 : 64.2 73.60%
45 A5 A5433 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A4332 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ433 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ433 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT433 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9433 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8433 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7433 one pair 384 1.53% 1 : 64.2 61.33%
53 K6 K6433 one pair 384 1.53% 1 : 64.2 59.80%
54 K5 K5433 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K4332 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ433 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT433 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9433 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8433 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7433 one pair 384 1.53% 1 : 64.2 49.07%
61 Q6 Q6433 one pair 384 1.53% 1 : 64.2 47.53%
62 Q5 Q5433 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q4332 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT433 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9433 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8433 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7433 one pair 384 1.53% 1 : 64.2 38.33%
68 J6 J6433 one pair 384 1.53% 1 : 64.2 36.80%
69 J5 J5433 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J4332 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9433 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8433 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7433 one pair 384 1.53% 1 : 64.2 29.13%
74 T6 T6433 one pair 384 1.53% 1 : 64.2 27.60%
75 T5 T5433 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T4332 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98433 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97433 one pair 384 1.53% 1 : 64.2 21.47%
79 96 96433 one pair 384 1.53% 1 : 64.2 19.93%
80 95 95433 one pair 384 1.53% 1 : 64.2 18.40%
81 92 94332 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87433 one pair 384 1.53% 1 : 64.2 15.33%
83 86 86433 one pair 384 1.53% 1 : 64.2 13.80%
84 85 85433 one pair 384 1.53% 1 : 64.2 12.27%
85 82 84332 one pair 384 1.53% 1 : 64.2 10.73%
86 76 76433 one pair 384 1.53% 1 : 64.2 9.20%
87 75 75433 one pair 384 1.53% 1 : 64.2 7.67%
88 72 74332 one pair 384 1.53% 1 : 64.2 6.13%
89 65 65433 one pair 384 1.53% 1 : 64.2 4.60%
90 62 64332 one pair 384 1.53% 1 : 64.2 3.07%
91 52 54332 one pair 384 1.53% 1 : 64.2 1.53%