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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 JJJJ3 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 J3 JJJ33 full house 24 0.10% 1 : 1043 99.98%
3 33 JJ333 full house 24 0.10% 1 : 1043 99.89%
 
4 AJ AJJJ3 three of a kind 64 0.26% 1 : 390 99.79%
5 KJ KJJJ3 three of a kind 64 0.26% 1 : 390 99.54%
6 QJ QJJJ3 three of a kind 64 0.26% 1 : 390 99.28%
7 JT JJJT3 three of a kind 64 0.26% 1 : 390 99.03%
8 J9 JJJ93 three of a kind 64 0.26% 1 : 390 98.77%
9 J8 JJJ83 three of a kind 64 0.26% 1 : 390 98.51%
10 J7 JJJ73 three of a kind 64 0.26% 1 : 390 98.26%
11 J6 JJJ63 three of a kind 64 0.26% 1 : 390 98.00%
12 J5 JJJ53 three of a kind 64 0.26% 1 : 390 97.75%
13 J4 JJJ43 three of a kind 64 0.26% 1 : 390 97.49%
14 J2 JJJ32 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAJJ3 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKJJ3 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQJJ3 two pairs 144 0.57% 1 : 173 95.83%
18 TT JJTT3 two pairs 144 0.57% 1 : 173 95.26%
19 99 JJ993 two pairs 144 0.57% 1 : 173 94.68%
20 88 JJ883 two pairs 144 0.57% 1 : 173 94.11%
21 77 JJ773 two pairs 144 0.57% 1 : 173 93.53%
22 66 JJ663 two pairs 144 0.57% 1 : 173 92.96%
23 55 JJ553 two pairs 144 0.57% 1 : 173 92.38%
24 44 JJ443 two pairs 144 0.57% 1 : 173 91.81%
25 A3 AJJ33 two pairs 144 0.57% 1 : 173 91.23%
26 K3 KJJ33 two pairs 144 0.57% 1 : 173 90.66%
27 Q3 QJJ33 two pairs 144 0.57% 1 : 173 90.08%
28 T3 JJT33 two pairs 144 0.57% 1 : 173 89.51%
29 93 JJ933 two pairs 144 0.57% 1 : 173 88.93%
30 83 JJ833 two pairs 144 0.57% 1 : 173 88.36%
31 73 JJ733 two pairs 144 0.57% 1 : 173 87.78%
32 63 JJ633 two pairs 144 0.57% 1 : 173 87.21%
33 53 JJ533 two pairs 144 0.57% 1 : 173 86.63%
34 43 JJ433 two pairs 144 0.57% 1 : 173 86.06%
35 32 JJ332 two pairs 144 0.57% 1 : 173 85.48%
36 22 JJ322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKJJ3 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQJJ3 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AJJT3 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AJJ93 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AJJ83 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AJJ73 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AJJ63 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AJJ53 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 AJJ43 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AJJ32 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQJJ3 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KJJT3 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KJJ93 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KJJ83 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KJJ73 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KJJ63 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 KJJ53 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 KJJ43 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KJJ32 one pair 384 1.53% 1 : 64.2 56.73%
56 QT QJJT3 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QJJ93 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QJJ83 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QJJ73 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 QJJ63 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 QJJ53 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 QJJ43 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QJJ32 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 JJT93 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 JJT83 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 JJT73 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 JJT63 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 JJT53 one pair 384 1.53% 1 : 64.2 36.80%
69 T4 JJT43 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 JJT32 one pair 384 1.53% 1 : 64.2 33.73%
71 98 JJ983 one pair 384 1.53% 1 : 64.2 32.20%
72 97 JJ973 one pair 384 1.53% 1 : 64.2 30.67%
73 96 JJ963 one pair 384 1.53% 1 : 64.2 29.13%
74 95 JJ953 one pair 384 1.53% 1 : 64.2 27.60%
75 94 JJ943 one pair 384 1.53% 1 : 64.2 26.07%
76 92 JJ932 one pair 384 1.53% 1 : 64.2 24.53%
77 87 JJ873 one pair 384 1.53% 1 : 64.2 23.00%
78 86 JJ863 one pair 384 1.53% 1 : 64.2 21.47%
79 85 JJ853 one pair 384 1.53% 1 : 64.2 19.93%
80 84 JJ843 one pair 384 1.53% 1 : 64.2 18.40%
81 82 JJ832 one pair 384 1.53% 1 : 64.2 16.87%
82 76 JJ763 one pair 384 1.53% 1 : 64.2 15.33%
83 75 JJ753 one pair 384 1.53% 1 : 64.2 13.80%
84 74 JJ743 one pair 384 1.53% 1 : 64.2 12.27%
85 72 JJ732 one pair 384 1.53% 1 : 64.2 10.73%
86 65 JJ653 one pair 384 1.53% 1 : 64.2 9.20%
87 64 JJ643 one pair 384 1.53% 1 : 64.2 7.67%
88 62 JJ632 one pair 384 1.53% 1 : 64.2 6.13%
89 54 JJ543 one pair 384 1.53% 1 : 64.2 4.60%
90 52 JJ532 one pair 384 1.53% 1 : 64.2 3.07%
91 42 JJ432 one pair 384 1.53% 1 : 64.2 1.53%