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 K4444 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 KK KKK44 full house 24 0.10% 1 : 1043 99.98%
3 K4 KK444 full house 24 0.10% 1 : 1043 99.89%
 
4 A4 AK444 three of a kind 64 0.26% 1 : 390 99.79%
5 Q4 KQ444 three of a kind 64 0.26% 1 : 390 99.54%
6 J4 KJ444 three of a kind 64 0.26% 1 : 390 99.28%
7 T4 KT444 three of a kind 64 0.26% 1 : 390 99.03%
8 94 K9444 three of a kind 64 0.26% 1 : 390 98.77%
9 84 K8444 three of a kind 64 0.26% 1 : 390 98.51%
10 74 K7444 three of a kind 64 0.26% 1 : 390 98.26%
11 64 K6444 three of a kind 64 0.26% 1 : 390 98.00%
12 54 K5444 three of a kind 64 0.26% 1 : 390 97.75%
13 43 K4443 three of a kind 64 0.26% 1 : 390 97.49%
14 42 K4442 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAK44 two pairs 144 0.57% 1 : 173 96.98%
16 AK AKK44 two pairs 144 0.57% 1 : 173 96.41%
17 KQ KKQ44 two pairs 144 0.57% 1 : 173 95.83%
18 KJ KKJ44 two pairs 144 0.57% 1 : 173 95.26%
19 KT KKT44 two pairs 144 0.57% 1 : 173 94.68%
20 K9 KK944 two pairs 144 0.57% 1 : 173 94.11%
21 K8 KK844 two pairs 144 0.57% 1 : 173 93.53%
22 K7 KK744 two pairs 144 0.57% 1 : 173 92.96%
23 K6 KK644 two pairs 144 0.57% 1 : 173 92.38%
24 K5 KK544 two pairs 144 0.57% 1 : 173 91.81%
25 K3 KK443 two pairs 144 0.57% 1 : 173 91.23%
26 K2 KK442 two pairs 144 0.57% 1 : 173 90.66%
27 QQ KQQ44 two pairs 144 0.57% 1 : 173 90.08%
28 JJ KJJ44 two pairs 144 0.57% 1 : 173 89.51%
29 TT KTT44 two pairs 144 0.57% 1 : 173 88.93%
30 99 K9944 two pairs 144 0.57% 1 : 173 88.36%
31 88 K8844 two pairs 144 0.57% 1 : 173 87.78%
32 77 K7744 two pairs 144 0.57% 1 : 173 87.21%
33 66 K6644 two pairs 144 0.57% 1 : 173 86.63%
34 55 K5544 two pairs 144 0.57% 1 : 173 86.06%
35 33 K4433 two pairs 144 0.57% 1 : 173 85.48%
36 22 K4422 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKQ44 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AKJ44 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AKT44 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AK944 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AK844 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AK744 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AK644 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AK544 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AK443 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AK442 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ KQJ44 one pair 384 1.53% 1 : 64.2 69.00%
48 QT KQT44 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 KQ944 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 KQ844 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 KQ744 one pair 384 1.53% 1 : 64.2 62.87%
52 Q6 KQ644 one pair 384 1.53% 1 : 64.2 61.33%
53 Q5 KQ544 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 KQ443 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 KQ442 one pair 384 1.53% 1 : 64.2 56.73%
56 JT KJT44 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 KJ944 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 KJ844 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 KJ744 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 KJ644 one pair 384 1.53% 1 : 64.2 49.07%
61 J5 KJ544 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 KJ443 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 KJ442 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 KT944 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 KT844 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 KT744 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 KT644 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 KT544 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 KT443 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 KT442 one pair 384 1.53% 1 : 64.2 33.73%
71 98 K9844 one pair 384 1.53% 1 : 64.2 32.20%
72 97 K9744 one pair 384 1.53% 1 : 64.2 30.67%
73 96 K9644 one pair 384 1.53% 1 : 64.2 29.13%
74 95 K9544 one pair 384 1.53% 1 : 64.2 27.60%
75 93 K9443 one pair 384 1.53% 1 : 64.2 26.07%
76 92 K9442 one pair 384 1.53% 1 : 64.2 24.53%
77 87 K8744 one pair 384 1.53% 1 : 64.2 23.00%
78 86 K8644 one pair 384 1.53% 1 : 64.2 21.47%
79 85 K8544 one pair 384 1.53% 1 : 64.2 19.93%
80 83 K8443 one pair 384 1.53% 1 : 64.2 18.40%
81 82 K8442 one pair 384 1.53% 1 : 64.2 16.87%
82 76 K7644 one pair 384 1.53% 1 : 64.2 15.33%
83 75 K7544 one pair 384 1.53% 1 : 64.2 13.80%
84 73 K7443 one pair 384 1.53% 1 : 64.2 12.27%
85 72 K7442 one pair 384 1.53% 1 : 64.2 10.73%
86 65 K6544 one pair 384 1.53% 1 : 64.2 9.20%
87 63 K6443 one pair 384 1.53% 1 : 64.2 7.67%
88 62 K6442 one pair 384 1.53% 1 : 64.2 6.13%
89 53 K5443 one pair 384 1.53% 1 : 64.2 4.60%
90 52 K5442 one pair 384 1.53% 1 : 64.2 3.07%
91 32 K4432 one pair 384 1.53% 1 : 64.2 1.53%