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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 A6666 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 AA AAA66 full house 24 0.10% 1 : 1043 99.98%
3 A6 AA666 full house 24 0.10% 1 : 1043 99.89%
 
4 K6 AK666 three of a kind 64 0.26% 1 : 390 99.79%
5 Q6 AQ666 three of a kind 64 0.26% 1 : 390 99.54%
6 J6 AJ666 three of a kind 64 0.26% 1 : 390 99.28%
7 T6 AT666 three of a kind 64 0.26% 1 : 390 99.03%
8 96 A9666 three of a kind 64 0.26% 1 : 390 98.77%
9 86 A8666 three of a kind 64 0.26% 1 : 390 98.51%
10 76 A7666 three of a kind 64 0.26% 1 : 390 98.26%
11 65 A6665 three of a kind 64 0.26% 1 : 390 98.00%
12 64 A6664 three of a kind 64 0.26% 1 : 390 97.75%
13 63 A6663 three of a kind 64 0.26% 1 : 390 97.49%
14 62 A6662 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AK AAK66 two pairs 144 0.57% 1 : 173 96.98%
16 AQ AAQ66 two pairs 144 0.57% 1 : 173 96.41%
17 AJ AAJ66 two pairs 144 0.57% 1 : 173 95.83%
18 AT AAT66 two pairs 144 0.57% 1 : 173 95.26%
19 A9 AA966 two pairs 144 0.57% 1 : 173 94.68%
20 A8 AA866 two pairs 144 0.57% 1 : 173 94.11%
21 A7 AA766 two pairs 144 0.57% 1 : 173 93.53%
22 A5 AA665 two pairs 144 0.57% 1 : 173 92.96%
23 A4 AA664 two pairs 144 0.57% 1 : 173 92.38%
24 A3 AA663 two pairs 144 0.57% 1 : 173 91.81%
25 A2 AA662 two pairs 144 0.57% 1 : 173 91.23%
26 KK AKK66 two pairs 144 0.57% 1 : 173 90.66%
27 QQ AQQ66 two pairs 144 0.57% 1 : 173 90.08%
28 JJ AJJ66 two pairs 144 0.57% 1 : 173 89.51%
29 TT ATT66 two pairs 144 0.57% 1 : 173 88.93%
30 99 A9966 two pairs 144 0.57% 1 : 173 88.36%
31 88 A8866 two pairs 144 0.57% 1 : 173 87.78%
32 77 A7766 two pairs 144 0.57% 1 : 173 87.21%
33 55 A6655 two pairs 144 0.57% 1 : 173 86.63%
34 44 A6644 two pairs 144 0.57% 1 : 173 86.06%
35 33 A6633 two pairs 144 0.57% 1 : 173 85.48%
36 22 A6622 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AKQ66 one pair 384 1.53% 1 : 64.2 84.33%
38 KJ AKJ66 one pair 384 1.53% 1 : 64.2 82.80%
39 KT AKT66 one pair 384 1.53% 1 : 64.2 81.26%
40 K9 AK966 one pair 384 1.53% 1 : 64.2 79.73%
41 K8 AK866 one pair 384 1.53% 1 : 64.2 78.20%
42 K7 AK766 one pair 384 1.53% 1 : 64.2 76.67%
43 K5 AK665 one pair 384 1.53% 1 : 64.2 75.13%
44 K4 AK664 one pair 384 1.53% 1 : 64.2 73.60%
45 K3 AK663 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AK662 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ AQJ66 one pair 384 1.53% 1 : 64.2 69.00%
48 QT AQT66 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 AQ966 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 AQ866 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 AQ766 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 AQ665 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 AQ664 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 AQ663 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 AQ662 one pair 384 1.53% 1 : 64.2 56.73%
56 JT AJT66 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 AJ966 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 AJ866 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 AJ766 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 AJ665 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 AJ664 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 AJ663 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 AJ662 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 AT966 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 AT866 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 AT766 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 AT665 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 AT664 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 AT663 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 AT662 one pair 384 1.53% 1 : 64.2 33.73%
71 98 A9866 one pair 384 1.53% 1 : 64.2 32.20%
72 97 A9766 one pair 384 1.53% 1 : 64.2 30.67%
73 95 A9665 one pair 384 1.53% 1 : 64.2 29.13%
74 94 A9664 one pair 384 1.53% 1 : 64.2 27.60%
75 93 A9663 one pair 384 1.53% 1 : 64.2 26.07%
76 92 A9662 one pair 384 1.53% 1 : 64.2 24.53%
77 87 A8766 one pair 384 1.53% 1 : 64.2 23.00%
78 85 A8665 one pair 384 1.53% 1 : 64.2 21.47%
79 84 A8664 one pair 384 1.53% 1 : 64.2 19.93%
80 83 A8663 one pair 384 1.53% 1 : 64.2 18.40%
81 82 A8662 one pair 384 1.53% 1 : 64.2 16.87%
82 75 A7665 one pair 384 1.53% 1 : 64.2 15.33%
83 74 A7664 one pair 384 1.53% 1 : 64.2 13.80%
84 73 A7663 one pair 384 1.53% 1 : 64.2 12.27%
85 72 A7662 one pair 384 1.53% 1 : 64.2 10.73%
86 54 A6654 one pair 384 1.53% 1 : 64.2 9.20%
87 53 A6653 one pair 384 1.53% 1 : 64.2 7.67%
88 52 A6652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 A6643 one pair 384 1.53% 1 : 64.2 4.60%
90 42 A6642 one pair 384 1.53% 1 : 64.2 3.07%
91 32 A6632 one pair 384 1.53% 1 : 64.2 1.53%