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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 96666 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 99 99966 full house 24 0.10% 1 : 1043 99.98%
3 96 99666 full house 24 0.10% 1 : 1043 99.89%
 
4 A6 A9666 three of a kind 64 0.26% 1 : 390 99.79%
5 K6 K9666 three of a kind 64 0.26% 1 : 390 99.54%
6 Q6 Q9666 three of a kind 64 0.26% 1 : 390 99.28%
7 J6 J9666 three of a kind 64 0.26% 1 : 390 99.03%
8 T6 T9666 three of a kind 64 0.26% 1 : 390 98.77%
9 86 98666 three of a kind 64 0.26% 1 : 390 98.51%
10 76 97666 three of a kind 64 0.26% 1 : 390 98.26%
11 65 96665 three of a kind 64 0.26% 1 : 390 98.00%
12 64 96664 three of a kind 64 0.26% 1 : 390 97.75%
13 63 96663 three of a kind 64 0.26% 1 : 390 97.49%
14 62 96662 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA966 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK966 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ966 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ966 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT966 two pairs 144 0.57% 1 : 173 94.68%
20 A9 A9966 two pairs 144 0.57% 1 : 173 94.11%
21 K9 K9966 two pairs 144 0.57% 1 : 173 93.53%
22 Q9 Q9966 two pairs 144 0.57% 1 : 173 92.96%
23 J9 J9966 two pairs 144 0.57% 1 : 173 92.38%
24 T9 T9966 two pairs 144 0.57% 1 : 173 91.81%
25 98 99866 two pairs 144 0.57% 1 : 173 91.23%
26 97 99766 two pairs 144 0.57% 1 : 173 90.66%
27 95 99665 two pairs 144 0.57% 1 : 173 90.08%
28 94 99664 two pairs 144 0.57% 1 : 173 89.51%
29 93 99663 two pairs 144 0.57% 1 : 173 88.93%
30 92 99662 two pairs 144 0.57% 1 : 173 88.36%
31 88 98866 two pairs 144 0.57% 1 : 173 87.78%
32 77 97766 two pairs 144 0.57% 1 : 173 87.21%
33 55 96655 two pairs 144 0.57% 1 : 173 86.63%
34 44 96644 two pairs 144 0.57% 1 : 173 86.06%
35 33 96633 two pairs 144 0.57% 1 : 173 85.48%
36 22 96622 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK966 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ966 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ966 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT966 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 A9866 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A9766 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 A9665 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A9664 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A9663 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A9662 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ966 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ966 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT966 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 K9866 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K9766 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 K9665 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K9664 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K9663 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K9662 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ966 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT966 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 Q9866 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q9766 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 Q9665 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q9664 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q9663 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q9662 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT966 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 J9866 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J9766 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 J9665 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J9664 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J9663 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J9662 one pair 384 1.53% 1 : 64.2 33.73%
71 T8 T9866 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T9766 one pair 384 1.53% 1 : 64.2 30.67%
73 T5 T9665 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T9664 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T9663 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T9662 one pair 384 1.53% 1 : 64.2 24.53%
77 87 98766 one pair 384 1.53% 1 : 64.2 23.00%
78 85 98665 one pair 384 1.53% 1 : 64.2 21.47%
79 84 98664 one pair 384 1.53% 1 : 64.2 19.93%
80 83 98663 one pair 384 1.53% 1 : 64.2 18.40%
81 82 98662 one pair 384 1.53% 1 : 64.2 16.87%
82 75 97665 one pair 384 1.53% 1 : 64.2 15.33%
83 74 97664 one pair 384 1.53% 1 : 64.2 13.80%
84 73 97663 one pair 384 1.53% 1 : 64.2 12.27%
85 72 97662 one pair 384 1.53% 1 : 64.2 10.73%
86 54 96654 one pair 384 1.53% 1 : 64.2 9.20%
87 53 96653 one pair 384 1.53% 1 : 64.2 7.67%
88 52 96652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 96643 one pair 384 1.53% 1 : 64.2 4.60%
90 42 96642 one pair 384 1.53% 1 : 64.2 3.07%
91 32 96632 one pair 384 1.53% 1 : 64.2 1.53%