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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 JJ JJJJ2 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 J2 JJJ22 full house 24 0.10% 1 : 1043 99.98%
3 22 JJ222 full house 24 0.10% 1 : 1043 99.89%
 
4 AJ AJJJ2 three of a kind 64 0.26% 1 : 390 99.79%
5 KJ KJJJ2 three of a kind 64 0.26% 1 : 390 99.54%
6 QJ QJJJ2 three of a kind 64 0.26% 1 : 390 99.28%
7 JT JJJT2 three of a kind 64 0.26% 1 : 390 99.03%
8 J9 JJJ92 three of a kind 64 0.26% 1 : 390 98.77%
9 J8 JJJ82 three of a kind 64 0.26% 1 : 390 98.51%
10 J7 JJJ72 three of a kind 64 0.26% 1 : 390 98.26%
11 J6 JJJ62 three of a kind 64 0.26% 1 : 390 98.00%
12 J5 JJJ52 three of a kind 64 0.26% 1 : 390 97.75%
13 J4 JJJ42 three of a kind 64 0.26% 1 : 390 97.49%
14 J3 JJJ32 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAJJ2 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKJJ2 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQJJ2 two pairs 144 0.57% 1 : 173 95.83%
18 TT JJTT2 two pairs 144 0.57% 1 : 173 95.26%
19 99 JJ992 two pairs 144 0.57% 1 : 173 94.68%
20 88 JJ882 two pairs 144 0.57% 1 : 173 94.11%
21 77 JJ772 two pairs 144 0.57% 1 : 173 93.53%
22 66 JJ662 two pairs 144 0.57% 1 : 173 92.96%
23 55 JJ552 two pairs 144 0.57% 1 : 173 92.38%
24 44 JJ442 two pairs 144 0.57% 1 : 173 91.81%
25 33 JJ332 two pairs 144 0.57% 1 : 173 91.23%
26 A2 AJJ22 two pairs 144 0.57% 1 : 173 90.66%
27 K2 KJJ22 two pairs 144 0.57% 1 : 173 90.08%
28 Q2 QJJ22 two pairs 144 0.57% 1 : 173 89.51%
29 T2 JJT22 two pairs 144 0.57% 1 : 173 88.93%
30 92 JJ922 two pairs 144 0.57% 1 : 173 88.36%
31 82 JJ822 two pairs 144 0.57% 1 : 173 87.78%
32 72 JJ722 two pairs 144 0.57% 1 : 173 87.21%
33 62 JJ622 two pairs 144 0.57% 1 : 173 86.63%
34 52 JJ522 two pairs 144 0.57% 1 : 173 86.06%
35 42 JJ422 two pairs 144 0.57% 1 : 173 85.48%
36 32 JJ322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKJJ2 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQJJ2 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AJJT2 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AJJ92 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AJJ82 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AJJ72 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AJJ62 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AJJ52 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 AJJ42 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 AJJ32 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQJJ2 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KJJT2 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KJJ92 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KJJ82 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KJJ72 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KJJ62 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 KJJ52 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 KJJ42 one pair 384 1.53% 1 : 64.2 58.27%
55 K3 KJJ32 one pair 384 1.53% 1 : 64.2 56.73%
56 QT QJJT2 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QJJ92 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QJJ82 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QJJ72 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 QJJ62 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 QJJ52 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 QJJ42 one pair 384 1.53% 1 : 64.2 46.00%
63 Q3 QJJ32 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 JJT92 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 JJT82 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 JJT72 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 JJT62 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 JJT52 one pair 384 1.53% 1 : 64.2 36.80%
69 T4 JJT42 one pair 384 1.53% 1 : 64.2 35.27%
70 T3 JJT32 one pair 384 1.53% 1 : 64.2 33.73%
71 98 JJ982 one pair 384 1.53% 1 : 64.2 32.20%
72 97 JJ972 one pair 384 1.53% 1 : 64.2 30.67%
73 96 JJ962 one pair 384 1.53% 1 : 64.2 29.13%
74 95 JJ952 one pair 384 1.53% 1 : 64.2 27.60%
75 94 JJ942 one pair 384 1.53% 1 : 64.2 26.07%
76 93 JJ932 one pair 384 1.53% 1 : 64.2 24.53%
77 87 JJ872 one pair 384 1.53% 1 : 64.2 23.00%
78 86 JJ862 one pair 384 1.53% 1 : 64.2 21.47%
79 85 JJ852 one pair 384 1.53% 1 : 64.2 19.93%
80 84 JJ842 one pair 384 1.53% 1 : 64.2 18.40%
81 83 JJ832 one pair 384 1.53% 1 : 64.2 16.87%
82 76 JJ762 one pair 384 1.53% 1 : 64.2 15.33%
83 75 JJ752 one pair 384 1.53% 1 : 64.2 13.80%
84 74 JJ742 one pair 384 1.53% 1 : 64.2 12.27%
85 73 JJ732 one pair 384 1.53% 1 : 64.2 10.73%
86 65 JJ652 one pair 384 1.53% 1 : 64.2 9.20%
87 64 JJ642 one pair 384 1.53% 1 : 64.2 7.67%
88 63 JJ632 one pair 384 1.53% 1 : 64.2 6.13%
89 54 JJ542 one pair 384 1.53% 1 : 64.2 4.60%
90 53 JJ532 one pair 384 1.53% 1 : 64.2 3.07%
91 43 JJ432 one pair 384 1.53% 1 : 64.2 1.53%