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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 66 J6666 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 JJ JJJ66 full house 24 0.10% 1 : 1043 99.98%
3 J6 JJ666 full house 24 0.10% 1 : 1043 99.89%
 
4 A6 AJ666 three of a kind 64 0.26% 1 : 390 99.79%
5 K6 KJ666 three of a kind 64 0.26% 1 : 390 99.54%
6 Q6 QJ666 three of a kind 64 0.26% 1 : 390 99.28%
7 T6 JT666 three of a kind 64 0.26% 1 : 390 99.03%
8 96 J9666 three of a kind 64 0.26% 1 : 390 98.77%
9 86 J8666 three of a kind 64 0.26% 1 : 390 98.51%
10 76 J7666 three of a kind 64 0.26% 1 : 390 98.26%
11 65 J6665 three of a kind 64 0.26% 1 : 390 98.00%
12 64 J6664 three of a kind 64 0.26% 1 : 390 97.75%
13 63 J6663 three of a kind 64 0.26% 1 : 390 97.49%
14 62 J6662 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAJ66 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKJ66 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQJ66 two pairs 144 0.57% 1 : 173 95.83%
18 AJ AJJ66 two pairs 144 0.57% 1 : 173 95.26%
19 KJ KJJ66 two pairs 144 0.57% 1 : 173 94.68%
20 QJ QJJ66 two pairs 144 0.57% 1 : 173 94.11%
21 JT JJT66 two pairs 144 0.57% 1 : 173 93.53%
22 J9 JJ966 two pairs 144 0.57% 1 : 173 92.96%
23 J8 JJ866 two pairs 144 0.57% 1 : 173 92.38%
24 J7 JJ766 two pairs 144 0.57% 1 : 173 91.81%
25 J5 JJ665 two pairs 144 0.57% 1 : 173 91.23%
26 J4 JJ664 two pairs 144 0.57% 1 : 173 90.66%
27 J3 JJ663 two pairs 144 0.57% 1 : 173 90.08%
28 J2 JJ662 two pairs 144 0.57% 1 : 173 89.51%
29 TT JTT66 two pairs 144 0.57% 1 : 173 88.93%
30 99 J9966 two pairs 144 0.57% 1 : 173 88.36%
31 88 J8866 two pairs 144 0.57% 1 : 173 87.78%
32 77 J7766 two pairs 144 0.57% 1 : 173 87.21%
33 55 J6655 two pairs 144 0.57% 1 : 173 86.63%
34 44 J6644 two pairs 144 0.57% 1 : 173 86.06%
35 33 J6633 two pairs 144 0.57% 1 : 173 85.48%
36 22 J6622 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKJ66 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQJ66 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AJT66 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AJ966 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AJ866 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AJ766 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AJ665 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AJ664 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AJ663 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AJ662 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQJ66 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KJT66 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KJ966 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KJ866 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KJ766 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KJ665 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KJ664 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KJ663 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KJ662 one pair 384 1.53% 1 : 64.2 56.73%
56 QT QJT66 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QJ966 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QJ866 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QJ766 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 QJ665 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QJ664 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QJ663 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QJ662 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 JT966 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 JT866 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 JT766 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 JT665 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 JT664 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 JT663 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 JT662 one pair 384 1.53% 1 : 64.2 33.73%
71 98 J9866 one pair 384 1.53% 1 : 64.2 32.20%
72 97 J9766 one pair 384 1.53% 1 : 64.2 30.67%
73 95 J9665 one pair 384 1.53% 1 : 64.2 29.13%
74 94 J9664 one pair 384 1.53% 1 : 64.2 27.60%
75 93 J9663 one pair 384 1.53% 1 : 64.2 26.07%
76 92 J9662 one pair 384 1.53% 1 : 64.2 24.53%
77 87 J8766 one pair 384 1.53% 1 : 64.2 23.00%
78 85 J8665 one pair 384 1.53% 1 : 64.2 21.47%
79 84 J8664 one pair 384 1.53% 1 : 64.2 19.93%
80 83 J8663 one pair 384 1.53% 1 : 64.2 18.40%
81 82 J8662 one pair 384 1.53% 1 : 64.2 16.87%
82 75 J7665 one pair 384 1.53% 1 : 64.2 15.33%
83 74 J7664 one pair 384 1.53% 1 : 64.2 13.80%
84 73 J7663 one pair 384 1.53% 1 : 64.2 12.27%
85 72 J7662 one pair 384 1.53% 1 : 64.2 10.73%
86 54 J6654 one pair 384 1.53% 1 : 64.2 9.20%
87 53 J6653 one pair 384 1.53% 1 : 64.2 7.67%
88 52 J6652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 J6643 one pair 384 1.53% 1 : 64.2 4.60%
90 42 J6642 one pair 384 1.53% 1 : 64.2 3.07%
91 32 J6632 one pair 384 1.53% 1 : 64.2 1.53%