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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 Q6666 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 QQ QQQ66 full house 24 0.10% 1 : 1043 99.98%
3 Q6 QQ666 full house 24 0.10% 1 : 1043 99.89%
 
4 A6 AQ666 three of a kind 64 0.26% 1 : 390 99.79%
5 K6 KQ666 three of a kind 64 0.26% 1 : 390 99.54%
6 J6 QJ666 three of a kind 64 0.26% 1 : 390 99.28%
7 T6 QT666 three of a kind 64 0.26% 1 : 390 99.03%
8 96 Q9666 three of a kind 64 0.26% 1 : 390 98.77%
9 86 Q8666 three of a kind 64 0.26% 1 : 390 98.51%
10 76 Q7666 three of a kind 64 0.26% 1 : 390 98.26%
11 65 Q6665 three of a kind 64 0.26% 1 : 390 98.00%
12 64 Q6664 three of a kind 64 0.26% 1 : 390 97.75%
13 63 Q6663 three of a kind 64 0.26% 1 : 390 97.49%
14 62 Q6662 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQ66 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQ66 two pairs 144 0.57% 1 : 173 96.41%
17 AQ AQQ66 two pairs 144 0.57% 1 : 173 95.83%
18 KQ KQQ66 two pairs 144 0.57% 1 : 173 95.26%
19 QJ QQJ66 two pairs 144 0.57% 1 : 173 94.68%
20 QT QQT66 two pairs 144 0.57% 1 : 173 94.11%
21 Q9 QQ966 two pairs 144 0.57% 1 : 173 93.53%
22 Q8 QQ866 two pairs 144 0.57% 1 : 173 92.96%
23 Q7 QQ766 two pairs 144 0.57% 1 : 173 92.38%
24 Q5 QQ665 two pairs 144 0.57% 1 : 173 91.81%
25 Q4 QQ664 two pairs 144 0.57% 1 : 173 91.23%
26 Q3 QQ663 two pairs 144 0.57% 1 : 173 90.66%
27 Q2 QQ662 two pairs 144 0.57% 1 : 173 90.08%
28 JJ QJJ66 two pairs 144 0.57% 1 : 173 89.51%
29 TT QTT66 two pairs 144 0.57% 1 : 173 88.93%
30 99 Q9966 two pairs 144 0.57% 1 : 173 88.36%
31 88 Q8866 two pairs 144 0.57% 1 : 173 87.78%
32 77 Q7766 two pairs 144 0.57% 1 : 173 87.21%
33 55 Q6655 two pairs 144 0.57% 1 : 173 86.63%
34 44 Q6644 two pairs 144 0.57% 1 : 173 86.06%
35 33 Q6633 two pairs 144 0.57% 1 : 173 85.48%
36 22 Q6622 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQ66 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AQJ66 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AQT66 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AQ966 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AQ866 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AQ766 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AQ665 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AQ664 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AQ663 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AQ662 one pair 384 1.53% 1 : 64.2 70.53%
47 KJ KQJ66 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KQT66 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KQ966 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KQ866 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KQ766 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KQ665 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KQ664 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KQ663 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KQ662 one pair 384 1.53% 1 : 64.2 56.73%
56 JT QJT66 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 QJ966 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 QJ866 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 QJ766 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 QJ665 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 QJ664 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 QJ663 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 QJ662 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 QT966 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 QT866 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 QT766 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 QT665 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 QT664 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 QT663 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 QT662 one pair 384 1.53% 1 : 64.2 33.73%
71 98 Q9866 one pair 384 1.53% 1 : 64.2 32.20%
72 97 Q9766 one pair 384 1.53% 1 : 64.2 30.67%
73 95 Q9665 one pair 384 1.53% 1 : 64.2 29.13%
74 94 Q9664 one pair 384 1.53% 1 : 64.2 27.60%
75 93 Q9663 one pair 384 1.53% 1 : 64.2 26.07%
76 92 Q9662 one pair 384 1.53% 1 : 64.2 24.53%
77 87 Q8766 one pair 384 1.53% 1 : 64.2 23.00%
78 85 Q8665 one pair 384 1.53% 1 : 64.2 21.47%
79 84 Q8664 one pair 384 1.53% 1 : 64.2 19.93%
80 83 Q8663 one pair 384 1.53% 1 : 64.2 18.40%
81 82 Q8662 one pair 384 1.53% 1 : 64.2 16.87%
82 75 Q7665 one pair 384 1.53% 1 : 64.2 15.33%
83 74 Q7664 one pair 384 1.53% 1 : 64.2 13.80%
84 73 Q7663 one pair 384 1.53% 1 : 64.2 12.27%
85 72 Q7662 one pair 384 1.53% 1 : 64.2 10.73%
86 54 Q6654 one pair 384 1.53% 1 : 64.2 9.20%
87 53 Q6653 one pair 384 1.53% 1 : 64.2 7.67%
88 52 Q6652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 Q6643 one pair 384 1.53% 1 : 64.2 4.60%
90 42 Q6642 one pair 384 1.53% 1 : 64.2 3.07%
91 32 Q6632 one pair 384 1.53% 1 : 64.2 1.53%