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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 92222 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 99 99922 full house 24 0.10% 1 : 1043 99.98%
3 92 99222 full house 24 0.10% 1 : 1043 99.89%
 
4 A2 A9222 three of a kind 64 0.26% 1 : 390 99.79%
5 K2 K9222 three of a kind 64 0.26% 1 : 390 99.54%
6 Q2 Q9222 three of a kind 64 0.26% 1 : 390 99.28%
7 J2 J9222 three of a kind 64 0.26% 1 : 390 99.03%
8 T2 T9222 three of a kind 64 0.26% 1 : 390 98.77%
9 82 98222 three of a kind 64 0.26% 1 : 390 98.51%
10 72 97222 three of a kind 64 0.26% 1 : 390 98.26%
11 62 96222 three of a kind 64 0.26% 1 : 390 98.00%
12 52 95222 three of a kind 64 0.26% 1 : 390 97.75%
13 42 94222 three of a kind 64 0.26% 1 : 390 97.49%
14 32 93222 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA922 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK922 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ922 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ922 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT922 two pairs 144 0.57% 1 : 173 94.68%
20 A9 A9922 two pairs 144 0.57% 1 : 173 94.11%
21 K9 K9922 two pairs 144 0.57% 1 : 173 93.53%
22 Q9 Q9922 two pairs 144 0.57% 1 : 173 92.96%
23 J9 J9922 two pairs 144 0.57% 1 : 173 92.38%
24 T9 T9922 two pairs 144 0.57% 1 : 173 91.81%
25 98 99822 two pairs 144 0.57% 1 : 173 91.23%
26 97 99722 two pairs 144 0.57% 1 : 173 90.66%
27 96 99622 two pairs 144 0.57% 1 : 173 90.08%
28 95 99522 two pairs 144 0.57% 1 : 173 89.51%
29 94 99422 two pairs 144 0.57% 1 : 173 88.93%
30 93 99322 two pairs 144 0.57% 1 : 173 88.36%
31 88 98822 two pairs 144 0.57% 1 : 173 87.78%
32 77 97722 two pairs 144 0.57% 1 : 173 87.21%
33 66 96622 two pairs 144 0.57% 1 : 173 86.63%
34 55 95522 two pairs 144 0.57% 1 : 173 86.06%
35 44 94422 two pairs 144 0.57% 1 : 173 85.48%
36 33 93322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK922 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ922 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ922 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT922 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 A9822 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A9722 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A9622 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A9522 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 A9422 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 A9322 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ922 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ922 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT922 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 K9822 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K9722 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K9622 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K9522 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 K9422 one pair 384 1.53% 1 : 64.2 58.27%
55 K3 K9322 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ922 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT922 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 Q9822 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q9722 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q9622 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q9522 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 Q9422 one pair 384 1.53% 1 : 64.2 46.00%
63 Q3 Q9322 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT922 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 J9822 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J9722 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J9622 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J9522 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 J9422 one pair 384 1.53% 1 : 64.2 35.27%
70 J3 J9322 one pair 384 1.53% 1 : 64.2 33.73%
71 T8 T9822 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T9722 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T9622 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T9522 one pair 384 1.53% 1 : 64.2 27.60%
75 T4 T9422 one pair 384 1.53% 1 : 64.2 26.07%
76 T3 T9322 one pair 384 1.53% 1 : 64.2 24.53%
77 87 98722 one pair 384 1.53% 1 : 64.2 23.00%
78 86 98622 one pair 384 1.53% 1 : 64.2 21.47%
79 85 98522 one pair 384 1.53% 1 : 64.2 19.93%
80 84 98422 one pair 384 1.53% 1 : 64.2 18.40%
81 83 98322 one pair 384 1.53% 1 : 64.2 16.87%
82 76 97622 one pair 384 1.53% 1 : 64.2 15.33%
83 75 97522 one pair 384 1.53% 1 : 64.2 13.80%
84 74 97422 one pair 384 1.53% 1 : 64.2 12.27%
85 73 97322 one pair 384 1.53% 1 : 64.2 10.73%
86 65 96522 one pair 384 1.53% 1 : 64.2 9.20%
87 64 96422 one pair 384 1.53% 1 : 64.2 7.67%
88 63 96322 one pair 384 1.53% 1 : 64.2 6.13%
89 54 95422 one pair 384 1.53% 1 : 64.2 4.60%
90 53 95322 one pair 384 1.53% 1 : 64.2 3.07%
91 43 94322 one pair 384 1.53% 1 : 64.2 1.53%