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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 JJJJ6 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 J6 JJJ66 full house 24 0.10% 1 : 1043 99.98%
3 66 JJ666 full house 24 0.10% 1 : 1043 99.89%
 
4 AJ AJJJ6 three of a kind 64 0.26% 1 : 390 99.79%
5 KJ KJJJ6 three of a kind 64 0.26% 1 : 390 99.54%
6 QJ QJJJ6 three of a kind 64 0.26% 1 : 390 99.28%
7 JT JJJT6 three of a kind 64 0.26% 1 : 390 99.03%
8 J9 JJJ96 three of a kind 64 0.26% 1 : 390 98.77%
9 J8 JJJ86 three of a kind 64 0.26% 1 : 390 98.51%
10 J7 JJJ76 three of a kind 64 0.26% 1 : 390 98.26%
11 J5 JJJ65 three of a kind 64 0.26% 1 : 390 98.00%
12 J4 JJJ64 three of a kind 64 0.26% 1 : 390 97.75%
13 J3 JJJ63 three of a kind 64 0.26% 1 : 390 97.49%
14 J2 JJJ62 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAJJ6 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKJJ6 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQJJ6 two pairs 144 0.57% 1 : 173 95.83%
18 TT JJTT6 two pairs 144 0.57% 1 : 173 95.26%
19 99 JJ996 two pairs 144 0.57% 1 : 173 94.68%
20 88 JJ886 two pairs 144 0.57% 1 : 173 94.11%
21 77 JJ776 two pairs 144 0.57% 1 : 173 93.53%
22 A6 AJJ66 two pairs 144 0.57% 1 : 173 92.96%
23 K6 KJJ66 two pairs 144 0.57% 1 : 173 92.38%
24 Q6 QJJ66 two pairs 144 0.57% 1 : 173 91.81%
25 T6 JJT66 two pairs 144 0.57% 1 : 173 91.23%
26 96 JJ966 two pairs 144 0.57% 1 : 173 90.66%
27 86 JJ866 two pairs 144 0.57% 1 : 173 90.08%
28 76 JJ766 two pairs 144 0.57% 1 : 173 89.51%
29 65 JJ665 two pairs 144 0.57% 1 : 173 88.93%
30 64 JJ664 two pairs 144 0.57% 1 : 173 88.36%
31 63 JJ663 two pairs 144 0.57% 1 : 173 87.78%
32 62 JJ662 two pairs 144 0.57% 1 : 173 87.21%
33 55 JJ655 two pairs 144 0.57% 1 : 173 86.63%
34 44 JJ644 two pairs 144 0.57% 1 : 173 86.06%
35 33 JJ633 two pairs 144 0.57% 1 : 173 85.48%
36 22 JJ622 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKJJ6 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQJJ6 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AJJT6 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AJJ96 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AJJ86 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AJJ76 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AJJ65 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AJJ64 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AJJ63 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AJJ62 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQJJ6 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KJJT6 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KJJ96 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KJJ86 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KJJ76 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KJJ65 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KJJ64 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KJJ63 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KJJ62 one pair 384 1.53% 1 : 64.2 56.73%
56 QT QJJT6 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QJJ96 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QJJ86 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QJJ76 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 QJJ65 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QJJ64 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QJJ63 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QJJ62 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 JJT96 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 JJT86 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 JJT76 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 JJT65 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 JJT64 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 JJT63 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 JJT62 one pair 384 1.53% 1 : 64.2 33.73%
71 98 JJ986 one pair 384 1.53% 1 : 64.2 32.20%
72 97 JJ976 one pair 384 1.53% 1 : 64.2 30.67%
73 95 JJ965 one pair 384 1.53% 1 : 64.2 29.13%
74 94 JJ964 one pair 384 1.53% 1 : 64.2 27.60%
75 93 JJ963 one pair 384 1.53% 1 : 64.2 26.07%
76 92 JJ962 one pair 384 1.53% 1 : 64.2 24.53%
77 87 JJ876 one pair 384 1.53% 1 : 64.2 23.00%
78 85 JJ865 one pair 384 1.53% 1 : 64.2 21.47%
79 84 JJ864 one pair 384 1.53% 1 : 64.2 19.93%
80 83 JJ863 one pair 384 1.53% 1 : 64.2 18.40%
81 82 JJ862 one pair 384 1.53% 1 : 64.2 16.87%
82 75 JJ765 one pair 384 1.53% 1 : 64.2 15.33%
83 74 JJ764 one pair 384 1.53% 1 : 64.2 13.80%
84 73 JJ763 one pair 384 1.53% 1 : 64.2 12.27%
85 72 JJ762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 JJ654 one pair 384 1.53% 1 : 64.2 9.20%
87 53 JJ653 one pair 384 1.53% 1 : 64.2 7.67%
88 52 JJ652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 JJ643 one pair 384 1.53% 1 : 64.2 4.60%
90 42 JJ642 one pair 384 1.53% 1 : 64.2 3.07%
91 32 JJ632 one pair 384 1.53% 1 : 64.2 1.53%