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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 A2222 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 AA AAA22 full house 24 0.10% 1 : 1043 99.98%
3 A2 AA222 full house 24 0.10% 1 : 1043 99.89%
 
4 K2 AK222 three of a kind 64 0.26% 1 : 390 99.79%
5 Q2 AQ222 three of a kind 64 0.26% 1 : 390 99.54%
6 J2 AJ222 three of a kind 64 0.26% 1 : 390 99.28%
7 T2 AT222 three of a kind 64 0.26% 1 : 390 99.03%
8 92 A9222 three of a kind 64 0.26% 1 : 390 98.77%
9 82 A8222 three of a kind 64 0.26% 1 : 390 98.51%
10 72 A7222 three of a kind 64 0.26% 1 : 390 98.26%
11 62 A6222 three of a kind 64 0.26% 1 : 390 98.00%
12 52 A5222 three of a kind 64 0.26% 1 : 390 97.75%
13 42 A4222 three of a kind 64 0.26% 1 : 390 97.49%
14 32 A3222 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AK AAK22 two pairs 144 0.57% 1 : 173 96.98%
16 AQ AAQ22 two pairs 144 0.57% 1 : 173 96.41%
17 AJ AAJ22 two pairs 144 0.57% 1 : 173 95.83%
18 AT AAT22 two pairs 144 0.57% 1 : 173 95.26%
19 A9 AA922 two pairs 144 0.57% 1 : 173 94.68%
20 A8 AA822 two pairs 144 0.57% 1 : 173 94.11%
21 A7 AA722 two pairs 144 0.57% 1 : 173 93.53%
22 A6 AA622 two pairs 144 0.57% 1 : 173 92.96%
23 A5 AA522 two pairs 144 0.57% 1 : 173 92.38%
24 A4 AA422 two pairs 144 0.57% 1 : 173 91.81%
25 A3 AA322 two pairs 144 0.57% 1 : 173 91.23%
26 KK AKK22 two pairs 144 0.57% 1 : 173 90.66%
27 QQ AQQ22 two pairs 144 0.57% 1 : 173 90.08%
28 JJ AJJ22 two pairs 144 0.57% 1 : 173 89.51%
29 TT ATT22 two pairs 144 0.57% 1 : 173 88.93%
30 99 A9922 two pairs 144 0.57% 1 : 173 88.36%
31 88 A8822 two pairs 144 0.57% 1 : 173 87.78%
32 77 A7722 two pairs 144 0.57% 1 : 173 87.21%
33 66 A6622 two pairs 144 0.57% 1 : 173 86.63%
34 55 A5522 two pairs 144 0.57% 1 : 173 86.06%
35 44 A4422 two pairs 144 0.57% 1 : 173 85.48%
36 33 A3322 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AKQ22 one pair 384 1.53% 1 : 64.2 84.33%
38 KJ AKJ22 one pair 384 1.53% 1 : 64.2 82.80%
39 KT AKT22 one pair 384 1.53% 1 : 64.2 81.26%
40 K9 AK922 one pair 384 1.53% 1 : 64.2 79.73%
41 K8 AK822 one pair 384 1.53% 1 : 64.2 78.20%
42 K7 AK722 one pair 384 1.53% 1 : 64.2 76.67%
43 K6 AK622 one pair 384 1.53% 1 : 64.2 75.13%
44 K5 AK522 one pair 384 1.53% 1 : 64.2 73.60%
45 K4 AK422 one pair 384 1.53% 1 : 64.2 72.07%
46 K3 AK322 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ AQJ22 one pair 384 1.53% 1 : 64.2 69.00%
48 QT AQT22 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 AQ922 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 AQ822 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 AQ722 one pair 384 1.53% 1 : 64.2 62.87%
52 Q6 AQ622 one pair 384 1.53% 1 : 64.2 61.33%
53 Q5 AQ522 one pair 384 1.53% 1 : 64.2 59.80%
54 Q4 AQ422 one pair 384 1.53% 1 : 64.2 58.27%
55 Q3 AQ322 one pair 384 1.53% 1 : 64.2 56.73%
56 JT AJT22 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 AJ922 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 AJ822 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 AJ722 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 AJ622 one pair 384 1.53% 1 : 64.2 49.07%
61 J5 AJ522 one pair 384 1.53% 1 : 64.2 47.53%
62 J4 AJ422 one pair 384 1.53% 1 : 64.2 46.00%
63 J3 AJ322 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 AT922 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 AT822 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 AT722 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 AT622 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 AT522 one pair 384 1.53% 1 : 64.2 36.80%
69 T4 AT422 one pair 384 1.53% 1 : 64.2 35.27%
70 T3 AT322 one pair 384 1.53% 1 : 64.2 33.73%
71 98 A9822 one pair 384 1.53% 1 : 64.2 32.20%
72 97 A9722 one pair 384 1.53% 1 : 64.2 30.67%
73 96 A9622 one pair 384 1.53% 1 : 64.2 29.13%
74 95 A9522 one pair 384 1.53% 1 : 64.2 27.60%
75 94 A9422 one pair 384 1.53% 1 : 64.2 26.07%
76 93 A9322 one pair 384 1.53% 1 : 64.2 24.53%
77 87 A8722 one pair 384 1.53% 1 : 64.2 23.00%
78 86 A8622 one pair 384 1.53% 1 : 64.2 21.47%
79 85 A8522 one pair 384 1.53% 1 : 64.2 19.93%
80 84 A8422 one pair 384 1.53% 1 : 64.2 18.40%
81 83 A8322 one pair 384 1.53% 1 : 64.2 16.87%
82 76 A7622 one pair 384 1.53% 1 : 64.2 15.33%
83 75 A7522 one pair 384 1.53% 1 : 64.2 13.80%
84 74 A7422 one pair 384 1.53% 1 : 64.2 12.27%
85 73 A7322 one pair 384 1.53% 1 : 64.2 10.73%
86 65 A6522 one pair 384 1.53% 1 : 64.2 9.20%
87 64 A6422 one pair 384 1.53% 1 : 64.2 7.67%
88 63 A6322 one pair 384 1.53% 1 : 64.2 6.13%
89 54 A5422 one pair 384 1.53% 1 : 64.2 4.60%
90 53 A5322 one pair 384 1.53% 1 : 64.2 3.07%
91 43 A4322 one pair 384 1.53% 1 : 64.2 1.53%