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 22 72222 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 77 77722 full house 24 0.10% 1 : 1043 99.98%
3 72 77222 full house 24 0.10% 1 : 1043 99.89%
 
4 A2 A7222 three of a kind 64 0.26% 1 : 390 99.79%
5 K2 K7222 three of a kind 64 0.26% 1 : 390 99.54%
6 Q2 Q7222 three of a kind 64 0.26% 1 : 390 99.28%
7 J2 J7222 three of a kind 64 0.26% 1 : 390 99.03%
8 T2 T7222 three of a kind 64 0.26% 1 : 390 98.77%
9 92 97222 three of a kind 64 0.26% 1 : 390 98.51%
10 82 87222 three of a kind 64 0.26% 1 : 390 98.26%
11 62 76222 three of a kind 64 0.26% 1 : 390 98.00%
12 52 75222 three of a kind 64 0.26% 1 : 390 97.75%
13 42 74222 three of a kind 64 0.26% 1 : 390 97.49%
14 32 73222 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA722 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK722 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ722 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ722 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT722 two pairs 144 0.57% 1 : 173 94.68%
20 99 99722 two pairs 144 0.57% 1 : 173 94.11%
21 88 88722 two pairs 144 0.57% 1 : 173 93.53%
22 A7 A7722 two pairs 144 0.57% 1 : 173 92.96%
23 K7 K7722 two pairs 144 0.57% 1 : 173 92.38%
24 Q7 Q7722 two pairs 144 0.57% 1 : 173 91.81%
25 J7 J7722 two pairs 144 0.57% 1 : 173 91.23%
26 T7 T7722 two pairs 144 0.57% 1 : 173 90.66%
27 97 97722 two pairs 144 0.57% 1 : 173 90.08%
28 87 87722 two pairs 144 0.57% 1 : 173 89.51%
29 76 77622 two pairs 144 0.57% 1 : 173 88.93%
30 75 77522 two pairs 144 0.57% 1 : 173 88.36%
31 74 77422 two pairs 144 0.57% 1 : 173 87.78%
32 73 77322 two pairs 144 0.57% 1 : 173 87.21%
33 66 76622 two pairs 144 0.57% 1 : 173 86.63%
34 55 75522 two pairs 144 0.57% 1 : 173 86.06%
35 44 74422 two pairs 144 0.57% 1 : 173 85.48%
36 33 73322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK722 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ722 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ722 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT722 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9722 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8722 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A7622 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A7522 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 A7422 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 A7322 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ722 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ722 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT722 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9722 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8722 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K7622 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K7522 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 K7422 one pair 384 1.53% 1 : 64.2 58.27%
55 K3 K7322 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ722 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT722 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9722 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8722 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q7622 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q7522 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 Q7422 one pair 384 1.53% 1 : 64.2 46.00%
63 Q3 Q7322 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT722 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9722 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8722 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J7622 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J7522 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 J7422 one pair 384 1.53% 1 : 64.2 35.27%
70 J3 J7322 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9722 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8722 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T7622 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T7522 one pair 384 1.53% 1 : 64.2 27.60%
75 T4 T7422 one pair 384 1.53% 1 : 64.2 26.07%
76 T3 T7322 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98722 one pair 384 1.53% 1 : 64.2 23.00%
78 96 97622 one pair 384 1.53% 1 : 64.2 21.47%
79 95 97522 one pair 384 1.53% 1 : 64.2 19.93%
80 94 97422 one pair 384 1.53% 1 : 64.2 18.40%
81 93 97322 one pair 384 1.53% 1 : 64.2 16.87%
82 86 87622 one pair 384 1.53% 1 : 64.2 15.33%
83 85 87522 one pair 384 1.53% 1 : 64.2 13.80%
84 84 87422 one pair 384 1.53% 1 : 64.2 12.27%
85 83 87322 one pair 384 1.53% 1 : 64.2 10.73%
86 65 76522 one pair 384 1.53% 1 : 64.2 9.20%
87 64 76422 one pair 384 1.53% 1 : 64.2 7.67%
88 63 76322 one pair 384 1.53% 1 : 64.2 6.13%
89 54 75422 one pair 384 1.53% 1 : 64.2 4.60%
90 53 75322 one pair 384 1.53% 1 : 64.2 3.07%
91 43 74322 one pair 384 1.53% 1 : 64.2 1.53%