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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 K2222 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 KK KKK22 full house 24 0.10% 1 : 1043 99.98%
3 K2 KK222 full house 24 0.10% 1 : 1043 99.89%
 
4 A2 AK222 three of a kind 64 0.26% 1 : 390 99.79%
5 Q2 KQ222 three of a kind 64 0.26% 1 : 390 99.54%
6 J2 KJ222 three of a kind 64 0.26% 1 : 390 99.28%
7 T2 KT222 three of a kind 64 0.26% 1 : 390 99.03%
8 92 K9222 three of a kind 64 0.26% 1 : 390 98.77%
9 82 K8222 three of a kind 64 0.26% 1 : 390 98.51%
10 72 K7222 three of a kind 64 0.26% 1 : 390 98.26%
11 62 K6222 three of a kind 64 0.26% 1 : 390 98.00%
12 52 K5222 three of a kind 64 0.26% 1 : 390 97.75%
13 42 K4222 three of a kind 64 0.26% 1 : 390 97.49%
14 32 K3222 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAK22 two pairs 144 0.57% 1 : 173 96.98%
16 AK AKK22 two pairs 144 0.57% 1 : 173 96.41%
17 KQ KKQ22 two pairs 144 0.57% 1 : 173 95.83%
18 KJ KKJ22 two pairs 144 0.57% 1 : 173 95.26%
19 KT KKT22 two pairs 144 0.57% 1 : 173 94.68%
20 K9 KK922 two pairs 144 0.57% 1 : 173 94.11%
21 K8 KK822 two pairs 144 0.57% 1 : 173 93.53%
22 K7 KK722 two pairs 144 0.57% 1 : 173 92.96%
23 K6 KK622 two pairs 144 0.57% 1 : 173 92.38%
24 K5 KK522 two pairs 144 0.57% 1 : 173 91.81%
25 K4 KK422 two pairs 144 0.57% 1 : 173 91.23%
26 K3 KK322 two pairs 144 0.57% 1 : 173 90.66%
27 QQ KQQ22 two pairs 144 0.57% 1 : 173 90.08%
28 JJ KJJ22 two pairs 144 0.57% 1 : 173 89.51%
29 TT KTT22 two pairs 144 0.57% 1 : 173 88.93%
30 99 K9922 two pairs 144 0.57% 1 : 173 88.36%
31 88 K8822 two pairs 144 0.57% 1 : 173 87.78%
32 77 K7722 two pairs 144 0.57% 1 : 173 87.21%
33 66 K6622 two pairs 144 0.57% 1 : 173 86.63%
34 55 K5522 two pairs 144 0.57% 1 : 173 86.06%
35 44 K4422 two pairs 144 0.57% 1 : 173 85.48%
36 33 K3322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKQ22 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AKJ22 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AKT22 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AK922 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AK822 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AK722 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AK622 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AK522 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 AK422 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 AK322 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ KQJ22 one pair 384 1.53% 1 : 64.2 69.00%
48 QT KQT22 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 KQ922 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 KQ822 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 KQ722 one pair 384 1.53% 1 : 64.2 62.87%
52 Q6 KQ622 one pair 384 1.53% 1 : 64.2 61.33%
53 Q5 KQ522 one pair 384 1.53% 1 : 64.2 59.80%
54 Q4 KQ422 one pair 384 1.53% 1 : 64.2 58.27%
55 Q3 KQ322 one pair 384 1.53% 1 : 64.2 56.73%
56 JT KJT22 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 KJ922 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 KJ822 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 KJ722 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 KJ622 one pair 384 1.53% 1 : 64.2 49.07%
61 J5 KJ522 one pair 384 1.53% 1 : 64.2 47.53%
62 J4 KJ422 one pair 384 1.53% 1 : 64.2 46.00%
63 J3 KJ322 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 KT922 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 KT822 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 KT722 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 KT622 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 KT522 one pair 384 1.53% 1 : 64.2 36.80%
69 T4 KT422 one pair 384 1.53% 1 : 64.2 35.27%
70 T3 KT322 one pair 384 1.53% 1 : 64.2 33.73%
71 98 K9822 one pair 384 1.53% 1 : 64.2 32.20%
72 97 K9722 one pair 384 1.53% 1 : 64.2 30.67%
73 96 K9622 one pair 384 1.53% 1 : 64.2 29.13%
74 95 K9522 one pair 384 1.53% 1 : 64.2 27.60%
75 94 K9422 one pair 384 1.53% 1 : 64.2 26.07%
76 93 K9322 one pair 384 1.53% 1 : 64.2 24.53%
77 87 K8722 one pair 384 1.53% 1 : 64.2 23.00%
78 86 K8622 one pair 384 1.53% 1 : 64.2 21.47%
79 85 K8522 one pair 384 1.53% 1 : 64.2 19.93%
80 84 K8422 one pair 384 1.53% 1 : 64.2 18.40%
81 83 K8322 one pair 384 1.53% 1 : 64.2 16.87%
82 76 K7622 one pair 384 1.53% 1 : 64.2 15.33%
83 75 K7522 one pair 384 1.53% 1 : 64.2 13.80%
84 74 K7422 one pair 384 1.53% 1 : 64.2 12.27%
85 73 K7322 one pair 384 1.53% 1 : 64.2 10.73%
86 65 K6522 one pair 384 1.53% 1 : 64.2 9.20%
87 64 K6422 one pair 384 1.53% 1 : 64.2 7.67%
88 63 K6322 one pair 384 1.53% 1 : 64.2 6.13%
89 54 K5422 one pair 384 1.53% 1 : 64.2 4.60%
90 53 K5322 one pair 384 1.53% 1 : 64.2 3.07%
91 43 K4322 one pair 384 1.53% 1 : 64.2 1.53%