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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 KK KKKK2 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 K2 KKK22 full house 24 0.10% 1 : 1043 99.98%
3 22 KK222 full house 24 0.10% 1 : 1043 99.89%
 
4 AK AKKK2 three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KKKQ2 three of a kind 64 0.26% 1 : 390 99.54%
6 KJ KKKJ2 three of a kind 64 0.26% 1 : 390 99.28%
7 KT KKKT2 three of a kind 64 0.26% 1 : 390 99.03%
8 K9 KKK92 three of a kind 64 0.26% 1 : 390 98.77%
9 K8 KKK82 three of a kind 64 0.26% 1 : 390 98.51%
10 K7 KKK72 three of a kind 64 0.26% 1 : 390 98.26%
11 K6 KKK62 three of a kind 64 0.26% 1 : 390 98.00%
12 K5 KKK52 three of a kind 64 0.26% 1 : 390 97.75%
13 K4 KKK42 three of a kind 64 0.26% 1 : 390 97.49%
14 K3 KKK32 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAKK2 two pairs 144 0.57% 1 : 173 96.98%
16 QQ KKQQ2 two pairs 144 0.57% 1 : 173 96.41%
17 JJ KKJJ2 two pairs 144 0.57% 1 : 173 95.83%
18 TT KKTT2 two pairs 144 0.57% 1 : 173 95.26%
19 99 KK992 two pairs 144 0.57% 1 : 173 94.68%
20 88 KK882 two pairs 144 0.57% 1 : 173 94.11%
21 77 KK772 two pairs 144 0.57% 1 : 173 93.53%
22 66 KK662 two pairs 144 0.57% 1 : 173 92.96%
23 55 KK552 two pairs 144 0.57% 1 : 173 92.38%
24 44 KK442 two pairs 144 0.57% 1 : 173 91.81%
25 33 KK332 two pairs 144 0.57% 1 : 173 91.23%
26 A2 AKK22 two pairs 144 0.57% 1 : 173 90.66%
27 Q2 KKQ22 two pairs 144 0.57% 1 : 173 90.08%
28 J2 KKJ22 two pairs 144 0.57% 1 : 173 89.51%
29 T2 KKT22 two pairs 144 0.57% 1 : 173 88.93%
30 92 KK922 two pairs 144 0.57% 1 : 173 88.36%
31 82 KK822 two pairs 144 0.57% 1 : 173 87.78%
32 72 KK722 two pairs 144 0.57% 1 : 173 87.21%
33 62 KK622 two pairs 144 0.57% 1 : 173 86.63%
34 52 KK522 two pairs 144 0.57% 1 : 173 86.06%
35 42 KK422 two pairs 144 0.57% 1 : 173 85.48%
36 32 KK322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKKQ2 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AKKJ2 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AKKT2 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AKK92 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AKK82 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AKK72 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AKK62 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AKK52 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 AKK42 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 AKK32 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ KKQJ2 one pair 384 1.53% 1 : 64.2 69.00%
48 QT KKQT2 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 KKQ92 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 KKQ82 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 KKQ72 one pair 384 1.53% 1 : 64.2 62.87%
52 Q6 KKQ62 one pair 384 1.53% 1 : 64.2 61.33%
53 Q5 KKQ52 one pair 384 1.53% 1 : 64.2 59.80%
54 Q4 KKQ42 one pair 384 1.53% 1 : 64.2 58.27%
55 Q3 KKQ32 one pair 384 1.53% 1 : 64.2 56.73%
56 JT KKJT2 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 KKJ92 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 KKJ82 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 KKJ72 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 KKJ62 one pair 384 1.53% 1 : 64.2 49.07%
61 J5 KKJ52 one pair 384 1.53% 1 : 64.2 47.53%
62 J4 KKJ42 one pair 384 1.53% 1 : 64.2 46.00%
63 J3 KKJ32 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 KKT92 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 KKT82 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 KKT72 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 KKT62 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 KKT52 one pair 384 1.53% 1 : 64.2 36.80%
69 T4 KKT42 one pair 384 1.53% 1 : 64.2 35.27%
70 T3 KKT32 one pair 384 1.53% 1 : 64.2 33.73%
71 98 KK982 one pair 384 1.53% 1 : 64.2 32.20%
72 97 KK972 one pair 384 1.53% 1 : 64.2 30.67%
73 96 KK962 one pair 384 1.53% 1 : 64.2 29.13%
74 95 KK952 one pair 384 1.53% 1 : 64.2 27.60%
75 94 KK942 one pair 384 1.53% 1 : 64.2 26.07%
76 93 KK932 one pair 384 1.53% 1 : 64.2 24.53%
77 87 KK872 one pair 384 1.53% 1 : 64.2 23.00%
78 86 KK862 one pair 384 1.53% 1 : 64.2 21.47%
79 85 KK852 one pair 384 1.53% 1 : 64.2 19.93%
80 84 KK842 one pair 384 1.53% 1 : 64.2 18.40%
81 83 KK832 one pair 384 1.53% 1 : 64.2 16.87%
82 76 KK762 one pair 384 1.53% 1 : 64.2 15.33%
83 75 KK752 one pair 384 1.53% 1 : 64.2 13.80%
84 74 KK742 one pair 384 1.53% 1 : 64.2 12.27%
85 73 KK732 one pair 384 1.53% 1 : 64.2 10.73%
86 65 KK652 one pair 384 1.53% 1 : 64.2 9.20%
87 64 KK642 one pair 384 1.53% 1 : 64.2 7.67%
88 63 KK632 one pair 384 1.53% 1 : 64.2 6.13%
89 54 KK542 one pair 384 1.53% 1 : 64.2 4.60%
90 53 KK532 one pair 384 1.53% 1 : 64.2 3.07%
91 43 KK432 one pair 384 1.53% 1 : 64.2 1.53%