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 J4444 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 JJ JJJ44 full house 24 0.10% 1 : 1043 99.98%
3 J4 JJ444 full house 24 0.10% 1 : 1043 99.89%
 
4 A4 AJ444 three of a kind 64 0.26% 1 : 390 99.79%
5 K4 KJ444 three of a kind 64 0.26% 1 : 390 99.54%
6 Q4 QJ444 three of a kind 64 0.26% 1 : 390 99.28%
7 T4 JT444 three of a kind 64 0.26% 1 : 390 99.03%
8 94 J9444 three of a kind 64 0.26% 1 : 390 98.77%
9 84 J8444 three of a kind 64 0.26% 1 : 390 98.51%
10 74 J7444 three of a kind 64 0.26% 1 : 390 98.26%
11 64 J6444 three of a kind 64 0.26% 1 : 390 98.00%
12 54 J5444 three of a kind 64 0.26% 1 : 390 97.75%
13 43 J4443 three of a kind 64 0.26% 1 : 390 97.49%
14 42 J4442 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAJ44 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKJ44 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQJ44 two pairs 144 0.57% 1 : 173 95.83%
18 AJ AJJ44 two pairs 144 0.57% 1 : 173 95.26%
19 KJ KJJ44 two pairs 144 0.57% 1 : 173 94.68%
20 QJ QJJ44 two pairs 144 0.57% 1 : 173 94.11%
21 JT JJT44 two pairs 144 0.57% 1 : 173 93.53%
22 J9 JJ944 two pairs 144 0.57% 1 : 173 92.96%
23 J8 JJ844 two pairs 144 0.57% 1 : 173 92.38%
24 J7 JJ744 two pairs 144 0.57% 1 : 173 91.81%
25 J6 JJ644 two pairs 144 0.57% 1 : 173 91.23%
26 J5 JJ544 two pairs 144 0.57% 1 : 173 90.66%
27 J3 JJ443 two pairs 144 0.57% 1 : 173 90.08%
28 J2 JJ442 two pairs 144 0.57% 1 : 173 89.51%
29 TT JTT44 two pairs 144 0.57% 1 : 173 88.93%
30 99 J9944 two pairs 144 0.57% 1 : 173 88.36%
31 88 J8844 two pairs 144 0.57% 1 : 173 87.78%
32 77 J7744 two pairs 144 0.57% 1 : 173 87.21%
33 66 J6644 two pairs 144 0.57% 1 : 173 86.63%
34 55 J5544 two pairs 144 0.57% 1 : 173 86.06%
35 33 J4433 two pairs 144 0.57% 1 : 173 85.48%
36 22 J4422 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKJ44 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQJ44 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AJT44 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AJ944 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AJ844 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AJ744 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AJ644 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AJ544 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AJ443 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AJ442 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQJ44 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KJT44 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KJ944 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KJ844 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KJ744 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KJ644 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 KJ544 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KJ443 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KJ442 one pair 384 1.53% 1 : 64.2 56.73%
56 QT QJT44 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QJ944 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QJ844 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QJ744 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 QJ644 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 QJ544 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QJ443 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QJ442 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 JT944 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 JT844 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 JT744 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 JT644 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 JT544 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 JT443 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 JT442 one pair 384 1.53% 1 : 64.2 33.73%
71 98 J9844 one pair 384 1.53% 1 : 64.2 32.20%
72 97 J9744 one pair 384 1.53% 1 : 64.2 30.67%
73 96 J9644 one pair 384 1.53% 1 : 64.2 29.13%
74 95 J9544 one pair 384 1.53% 1 : 64.2 27.60%
75 93 J9443 one pair 384 1.53% 1 : 64.2 26.07%
76 92 J9442 one pair 384 1.53% 1 : 64.2 24.53%
77 87 J8744 one pair 384 1.53% 1 : 64.2 23.00%
78 86 J8644 one pair 384 1.53% 1 : 64.2 21.47%
79 85 J8544 one pair 384 1.53% 1 : 64.2 19.93%
80 83 J8443 one pair 384 1.53% 1 : 64.2 18.40%
81 82 J8442 one pair 384 1.53% 1 : 64.2 16.87%
82 76 J7644 one pair 384 1.53% 1 : 64.2 15.33%
83 75 J7544 one pair 384 1.53% 1 : 64.2 13.80%
84 73 J7443 one pair 384 1.53% 1 : 64.2 12.27%
85 72 J7442 one pair 384 1.53% 1 : 64.2 10.73%
86 65 J6544 one pair 384 1.53% 1 : 64.2 9.20%
87 63 J6443 one pair 384 1.53% 1 : 64.2 7.67%
88 62 J6442 one pair 384 1.53% 1 : 64.2 6.13%
89 53 J5443 one pair 384 1.53% 1 : 64.2 4.60%
90 52 J5442 one pair 384 1.53% 1 : 64.2 3.07%
91 32 J4432 one pair 384 1.53% 1 : 64.2 1.53%