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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 K6666 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 KK KKK66 full house 24 0.10% 1 : 1043 99.98%
3 K6 KK666 full house 24 0.10% 1 : 1043 99.89%
 
4 A6 AK666 three of a kind 64 0.26% 1 : 390 99.79%
5 Q6 KQ666 three of a kind 64 0.26% 1 : 390 99.54%
6 J6 KJ666 three of a kind 64 0.26% 1 : 390 99.28%
7 T6 KT666 three of a kind 64 0.26% 1 : 390 99.03%
8 96 K9666 three of a kind 64 0.26% 1 : 390 98.77%
9 86 K8666 three of a kind 64 0.26% 1 : 390 98.51%
10 76 K7666 three of a kind 64 0.26% 1 : 390 98.26%
11 65 K6665 three of a kind 64 0.26% 1 : 390 98.00%
12 64 K6664 three of a kind 64 0.26% 1 : 390 97.75%
13 63 K6663 three of a kind 64 0.26% 1 : 390 97.49%
14 62 K6662 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAK66 two pairs 144 0.57% 1 : 173 96.98%
16 AK AKK66 two pairs 144 0.57% 1 : 173 96.41%
17 KQ KKQ66 two pairs 144 0.57% 1 : 173 95.83%
18 KJ KKJ66 two pairs 144 0.57% 1 : 173 95.26%
19 KT KKT66 two pairs 144 0.57% 1 : 173 94.68%
20 K9 KK966 two pairs 144 0.57% 1 : 173 94.11%
21 K8 KK866 two pairs 144 0.57% 1 : 173 93.53%
22 K7 KK766 two pairs 144 0.57% 1 : 173 92.96%
23 K5 KK665 two pairs 144 0.57% 1 : 173 92.38%
24 K4 KK664 two pairs 144 0.57% 1 : 173 91.81%
25 K3 KK663 two pairs 144 0.57% 1 : 173 91.23%
26 K2 KK662 two pairs 144 0.57% 1 : 173 90.66%
27 QQ KQQ66 two pairs 144 0.57% 1 : 173 90.08%
28 JJ KJJ66 two pairs 144 0.57% 1 : 173 89.51%
29 TT KTT66 two pairs 144 0.57% 1 : 173 88.93%
30 99 K9966 two pairs 144 0.57% 1 : 173 88.36%
31 88 K8866 two pairs 144 0.57% 1 : 173 87.78%
32 77 K7766 two pairs 144 0.57% 1 : 173 87.21%
33 55 K6655 two pairs 144 0.57% 1 : 173 86.63%
34 44 K6644 two pairs 144 0.57% 1 : 173 86.06%
35 33 K6633 two pairs 144 0.57% 1 : 173 85.48%
36 22 K6622 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKQ66 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AKJ66 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AKT66 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AK966 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AK866 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AK766 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AK665 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AK664 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AK663 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AK662 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ KQJ66 one pair 384 1.53% 1 : 64.2 69.00%
48 QT KQT66 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 KQ966 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 KQ866 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 KQ766 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 KQ665 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 KQ664 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 KQ663 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 KQ662 one pair 384 1.53% 1 : 64.2 56.73%
56 JT KJT66 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 KJ966 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 KJ866 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 KJ766 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 KJ665 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 KJ664 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 KJ663 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 KJ662 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 KT966 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 KT866 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 KT766 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 KT665 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 KT664 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 KT663 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 KT662 one pair 384 1.53% 1 : 64.2 33.73%
71 98 K9866 one pair 384 1.53% 1 : 64.2 32.20%
72 97 K9766 one pair 384 1.53% 1 : 64.2 30.67%
73 95 K9665 one pair 384 1.53% 1 : 64.2 29.13%
74 94 K9664 one pair 384 1.53% 1 : 64.2 27.60%
75 93 K9663 one pair 384 1.53% 1 : 64.2 26.07%
76 92 K9662 one pair 384 1.53% 1 : 64.2 24.53%
77 87 K8766 one pair 384 1.53% 1 : 64.2 23.00%
78 85 K8665 one pair 384 1.53% 1 : 64.2 21.47%
79 84 K8664 one pair 384 1.53% 1 : 64.2 19.93%
80 83 K8663 one pair 384 1.53% 1 : 64.2 18.40%
81 82 K8662 one pair 384 1.53% 1 : 64.2 16.87%
82 75 K7665 one pair 384 1.53% 1 : 64.2 15.33%
83 74 K7664 one pair 384 1.53% 1 : 64.2 13.80%
84 73 K7663 one pair 384 1.53% 1 : 64.2 12.27%
85 72 K7662 one pair 384 1.53% 1 : 64.2 10.73%
86 54 K6654 one pair 384 1.53% 1 : 64.2 9.20%
87 53 K6653 one pair 384 1.53% 1 : 64.2 7.67%
88 52 K6652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 K6643 one pair 384 1.53% 1 : 64.2 4.60%
90 42 K6642 one pair 384 1.53% 1 : 64.2 3.07%
91 32 K6632 one pair 384 1.53% 1 : 64.2 1.53%