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 44 44443 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 43 44433 full house 24 0.10% 1 : 1043 99.98%
3 33 44333 full house 24 0.10% 1 : 1043 99.89%
 
4 A4 A4443 three of a kind 64 0.26% 1 : 390 99.79%
5 K4 K4443 three of a kind 64 0.26% 1 : 390 99.54%
6 Q4 Q4443 three of a kind 64 0.26% 1 : 390 99.28%
7 J4 J4443 three of a kind 64 0.26% 1 : 390 99.03%
8 T4 T4443 three of a kind 64 0.26% 1 : 390 98.77%
9 94 94443 three of a kind 64 0.26% 1 : 390 98.51%
10 84 84443 three of a kind 64 0.26% 1 : 390 98.26%
11 74 74443 three of a kind 64 0.26% 1 : 390 98.00%
12 64 64443 three of a kind 64 0.26% 1 : 390 97.75%
13 54 54443 three of a kind 64 0.26% 1 : 390 97.49%
14 42 44432 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA443 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK443 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ443 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ443 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT443 two pairs 144 0.57% 1 : 173 94.68%
20 99 99443 two pairs 144 0.57% 1 : 173 94.11%
21 88 88443 two pairs 144 0.57% 1 : 173 93.53%
22 77 77443 two pairs 144 0.57% 1 : 173 92.96%
23 66 66443 two pairs 144 0.57% 1 : 173 92.38%
24 55 55443 two pairs 144 0.57% 1 : 173 91.81%
25 A3 A4433 two pairs 144 0.57% 1 : 173 91.23%
26 K3 K4433 two pairs 144 0.57% 1 : 173 90.66%
27 Q3 Q4433 two pairs 144 0.57% 1 : 173 90.08%
28 J3 J4433 two pairs 144 0.57% 1 : 173 89.51%
29 T3 T4433 two pairs 144 0.57% 1 : 173 88.93%
30 93 94433 two pairs 144 0.57% 1 : 173 88.36%
31 83 84433 two pairs 144 0.57% 1 : 173 87.78%
32 73 74433 two pairs 144 0.57% 1 : 173 87.21%
33 63 64433 two pairs 144 0.57% 1 : 173 86.63%
34 53 54433 two pairs 144 0.57% 1 : 173 86.06%
35 32 44332 two pairs 144 0.57% 1 : 173 85.48%
36 22 44322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK443 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ443 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ443 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT443 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9443 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8443 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7443 one pair 384 1.53% 1 : 64.2 75.13%
44 A6 A6443 one pair 384 1.53% 1 : 64.2 73.60%
45 A5 A5443 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A4432 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ443 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ443 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT443 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9443 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8443 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7443 one pair 384 1.53% 1 : 64.2 61.33%
53 K6 K6443 one pair 384 1.53% 1 : 64.2 59.80%
54 K5 K5443 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K4432 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ443 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT443 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9443 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8443 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7443 one pair 384 1.53% 1 : 64.2 49.07%
61 Q6 Q6443 one pair 384 1.53% 1 : 64.2 47.53%
62 Q5 Q5443 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q4432 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT443 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9443 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8443 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7443 one pair 384 1.53% 1 : 64.2 38.33%
68 J6 J6443 one pair 384 1.53% 1 : 64.2 36.80%
69 J5 J5443 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J4432 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9443 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8443 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7443 one pair 384 1.53% 1 : 64.2 29.13%
74 T6 T6443 one pair 384 1.53% 1 : 64.2 27.60%
75 T5 T5443 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T4432 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98443 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97443 one pair 384 1.53% 1 : 64.2 21.47%
79 96 96443 one pair 384 1.53% 1 : 64.2 19.93%
80 95 95443 one pair 384 1.53% 1 : 64.2 18.40%
81 92 94432 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87443 one pair 384 1.53% 1 : 64.2 15.33%
83 86 86443 one pair 384 1.53% 1 : 64.2 13.80%
84 85 85443 one pair 384 1.53% 1 : 64.2 12.27%
85 82 84432 one pair 384 1.53% 1 : 64.2 10.73%
86 76 76443 one pair 384 1.53% 1 : 64.2 9.20%
87 75 75443 one pair 384 1.53% 1 : 64.2 7.67%
88 72 74432 one pair 384 1.53% 1 : 64.2 6.13%
89 65 65443 one pair 384 1.53% 1 : 64.2 4.60%
90 62 64432 one pair 384 1.53% 1 : 64.2 3.07%
91 52 54432 one pair 384 1.53% 1 : 64.2 1.53%