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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 Q2222 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 QQ QQQ22 full house 24 0.10% 1 : 1043 99.98%
3 Q2 QQ222 full house 24 0.10% 1 : 1043 99.89%
 
4 A2 AQ222 three of a kind 64 0.26% 1 : 390 99.79%
5 K2 KQ222 three of a kind 64 0.26% 1 : 390 99.54%
6 J2 QJ222 three of a kind 64 0.26% 1 : 390 99.28%
7 T2 QT222 three of a kind 64 0.26% 1 : 390 99.03%
8 92 Q9222 three of a kind 64 0.26% 1 : 390 98.77%
9 82 Q8222 three of a kind 64 0.26% 1 : 390 98.51%
10 72 Q7222 three of a kind 64 0.26% 1 : 390 98.26%
11 62 Q6222 three of a kind 64 0.26% 1 : 390 98.00%
12 52 Q5222 three of a kind 64 0.26% 1 : 390 97.75%
13 42 Q4222 three of a kind 64 0.26% 1 : 390 97.49%
14 32 Q3222 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQ22 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQ22 two pairs 144 0.57% 1 : 173 96.41%
17 AQ AQQ22 two pairs 144 0.57% 1 : 173 95.83%
18 KQ KQQ22 two pairs 144 0.57% 1 : 173 95.26%
19 QJ QQJ22 two pairs 144 0.57% 1 : 173 94.68%
20 QT QQT22 two pairs 144 0.57% 1 : 173 94.11%
21 Q9 QQ922 two pairs 144 0.57% 1 : 173 93.53%
22 Q8 QQ822 two pairs 144 0.57% 1 : 173 92.96%
23 Q7 QQ722 two pairs 144 0.57% 1 : 173 92.38%
24 Q6 QQ622 two pairs 144 0.57% 1 : 173 91.81%
25 Q5 QQ522 two pairs 144 0.57% 1 : 173 91.23%
26 Q4 QQ422 two pairs 144 0.57% 1 : 173 90.66%
27 Q3 QQ322 two pairs 144 0.57% 1 : 173 90.08%
28 JJ QJJ22 two pairs 144 0.57% 1 : 173 89.51%
29 TT QTT22 two pairs 144 0.57% 1 : 173 88.93%
30 99 Q9922 two pairs 144 0.57% 1 : 173 88.36%
31 88 Q8822 two pairs 144 0.57% 1 : 173 87.78%
32 77 Q7722 two pairs 144 0.57% 1 : 173 87.21%
33 66 Q6622 two pairs 144 0.57% 1 : 173 86.63%
34 55 Q5522 two pairs 144 0.57% 1 : 173 86.06%
35 44 Q4422 two pairs 144 0.57% 1 : 173 85.48%
36 33 Q3322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQ22 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AQJ22 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AQT22 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AQ922 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AQ822 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AQ722 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AQ622 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AQ522 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 AQ422 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 AQ322 one pair 384 1.53% 1 : 64.2 70.53%
47 KJ KQJ22 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KQT22 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KQ922 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KQ822 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KQ722 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KQ622 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 KQ522 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 KQ422 one pair 384 1.53% 1 : 64.2 58.27%
55 K3 KQ322 one pair 384 1.53% 1 : 64.2 56.73%
56 JT QJT22 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 QJ922 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 QJ822 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 QJ722 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 QJ622 one pair 384 1.53% 1 : 64.2 49.07%
61 J5 QJ522 one pair 384 1.53% 1 : 64.2 47.53%
62 J4 QJ422 one pair 384 1.53% 1 : 64.2 46.00%
63 J3 QJ322 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 QT922 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 QT822 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 QT722 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 QT622 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 QT522 one pair 384 1.53% 1 : 64.2 36.80%
69 T4 QT422 one pair 384 1.53% 1 : 64.2 35.27%
70 T3 QT322 one pair 384 1.53% 1 : 64.2 33.73%
71 98 Q9822 one pair 384 1.53% 1 : 64.2 32.20%
72 97 Q9722 one pair 384 1.53% 1 : 64.2 30.67%
73 96 Q9622 one pair 384 1.53% 1 : 64.2 29.13%
74 95 Q9522 one pair 384 1.53% 1 : 64.2 27.60%
75 94 Q9422 one pair 384 1.53% 1 : 64.2 26.07%
76 93 Q9322 one pair 384 1.53% 1 : 64.2 24.53%
77 87 Q8722 one pair 384 1.53% 1 : 64.2 23.00%
78 86 Q8622 one pair 384 1.53% 1 : 64.2 21.47%
79 85 Q8522 one pair 384 1.53% 1 : 64.2 19.93%
80 84 Q8422 one pair 384 1.53% 1 : 64.2 18.40%
81 83 Q8322 one pair 384 1.53% 1 : 64.2 16.87%
82 76 Q7622 one pair 384 1.53% 1 : 64.2 15.33%
83 75 Q7522 one pair 384 1.53% 1 : 64.2 13.80%
84 74 Q7422 one pair 384 1.53% 1 : 64.2 12.27%
85 73 Q7322 one pair 384 1.53% 1 : 64.2 10.73%
86 65 Q6522 one pair 384 1.53% 1 : 64.2 9.20%
87 64 Q6422 one pair 384 1.53% 1 : 64.2 7.67%
88 63 Q6322 one pair 384 1.53% 1 : 64.2 6.13%
89 54 Q5422 one pair 384 1.53% 1 : 64.2 4.60%
90 53 Q5322 one pair 384 1.53% 1 : 64.2 3.07%
91 43 Q4322 one pair 384 1.53% 1 : 64.2 1.53%