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 66 66662 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 62 66622 full house 24 0.10% 1 : 1043 99.98%
3 22 66222 full house 24 0.10% 1 : 1043 99.89%
 
4 A6 A6662 three of a kind 64 0.26% 1 : 390 99.79%
5 K6 K6662 three of a kind 64 0.26% 1 : 390 99.54%
6 Q6 Q6662 three of a kind 64 0.26% 1 : 390 99.28%
7 J6 J6662 three of a kind 64 0.26% 1 : 390 99.03%
8 T6 T6662 three of a kind 64 0.26% 1 : 390 98.77%
9 96 96662 three of a kind 64 0.26% 1 : 390 98.51%
10 86 86662 three of a kind 64 0.26% 1 : 390 98.26%
11 76 76662 three of a kind 64 0.26% 1 : 390 98.00%
12 65 66652 three of a kind 64 0.26% 1 : 390 97.75%
13 64 66642 three of a kind 64 0.26% 1 : 390 97.49%
14 63 66632 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA662 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK662 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ662 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ662 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT662 two pairs 144 0.57% 1 : 173 94.68%
20 99 99662 two pairs 144 0.57% 1 : 173 94.11%
21 88 88662 two pairs 144 0.57% 1 : 173 93.53%
22 77 77662 two pairs 144 0.57% 1 : 173 92.96%
23 55 66552 two pairs 144 0.57% 1 : 173 92.38%
24 44 66442 two pairs 144 0.57% 1 : 173 91.81%
25 33 66332 two pairs 144 0.57% 1 : 173 91.23%
26 A2 A6622 two pairs 144 0.57% 1 : 173 90.66%
27 K2 K6622 two pairs 144 0.57% 1 : 173 90.08%
28 Q2 Q6622 two pairs 144 0.57% 1 : 173 89.51%
29 J2 J6622 two pairs 144 0.57% 1 : 173 88.93%
30 T2 T6622 two pairs 144 0.57% 1 : 173 88.36%
31 92 96622 two pairs 144 0.57% 1 : 173 87.78%
32 82 86622 two pairs 144 0.57% 1 : 173 87.21%
33 72 76622 two pairs 144 0.57% 1 : 173 86.63%
34 52 66522 two pairs 144 0.57% 1 : 173 86.06%
35 42 66422 two pairs 144 0.57% 1 : 173 85.48%
36 32 66322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK662 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ662 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ662 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT662 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9662 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8662 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7662 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A6652 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 A6642 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 A6632 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ662 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ662 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT662 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9662 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8662 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7662 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K6652 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 K6642 one pair 384 1.53% 1 : 64.2 58.27%
55 K3 K6632 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ662 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT662 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9662 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8662 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7662 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q6652 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 Q6642 one pair 384 1.53% 1 : 64.2 46.00%
63 Q3 Q6632 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT662 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9662 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8662 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7662 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J6652 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 J6642 one pair 384 1.53% 1 : 64.2 35.27%
70 J3 J6632 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9662 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8662 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7662 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T6652 one pair 384 1.53% 1 : 64.2 27.60%
75 T4 T6642 one pair 384 1.53% 1 : 64.2 26.07%
76 T3 T6632 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98662 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97662 one pair 384 1.53% 1 : 64.2 21.47%
79 95 96652 one pair 384 1.53% 1 : 64.2 19.93%
80 94 96642 one pair 384 1.53% 1 : 64.2 18.40%
81 93 96632 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87662 one pair 384 1.53% 1 : 64.2 15.33%
83 85 86652 one pair 384 1.53% 1 : 64.2 13.80%
84 84 86642 one pair 384 1.53% 1 : 64.2 12.27%
85 83 86632 one pair 384 1.53% 1 : 64.2 10.73%
86 75 76652 one pair 384 1.53% 1 : 64.2 9.20%
87 74 76642 one pair 384 1.53% 1 : 64.2 7.67%
88 73 76632 one pair 384 1.53% 1 : 64.2 6.13%
89 54 66542 one pair 384 1.53% 1 : 64.2 4.60%
90 53 66532 one pair 384 1.53% 1 : 64.2 3.07%
91 43 66432 one pair 384 1.53% 1 : 64.2 1.53%