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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 86666 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 88 88866 full house 24 0.10% 1 : 1043 99.98%
3 86 88666 full house 24 0.10% 1 : 1043 99.89%
 
4 A6 A8666 three of a kind 64 0.26% 1 : 390 99.79%
5 K6 K8666 three of a kind 64 0.26% 1 : 390 99.54%
6 Q6 Q8666 three of a kind 64 0.26% 1 : 390 99.28%
7 J6 J8666 three of a kind 64 0.26% 1 : 390 99.03%
8 T6 T8666 three of a kind 64 0.26% 1 : 390 98.77%
9 96 98666 three of a kind 64 0.26% 1 : 390 98.51%
10 76 87666 three of a kind 64 0.26% 1 : 390 98.26%
11 65 86665 three of a kind 64 0.26% 1 : 390 98.00%
12 64 86664 three of a kind 64 0.26% 1 : 390 97.75%
13 63 86663 three of a kind 64 0.26% 1 : 390 97.49%
14 62 86662 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA866 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK866 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ866 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ866 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT866 two pairs 144 0.57% 1 : 173 94.68%
20 99 99866 two pairs 144 0.57% 1 : 173 94.11%
21 A8 A8866 two pairs 144 0.57% 1 : 173 93.53%
22 K8 K8866 two pairs 144 0.57% 1 : 173 92.96%
23 Q8 Q8866 two pairs 144 0.57% 1 : 173 92.38%
24 J8 J8866 two pairs 144 0.57% 1 : 173 91.81%
25 T8 T8866 two pairs 144 0.57% 1 : 173 91.23%
26 98 98866 two pairs 144 0.57% 1 : 173 90.66%
27 87 88766 two pairs 144 0.57% 1 : 173 90.08%
28 85 88665 two pairs 144 0.57% 1 : 173 89.51%
29 84 88664 two pairs 144 0.57% 1 : 173 88.93%
30 83 88663 two pairs 144 0.57% 1 : 173 88.36%
31 82 88662 two pairs 144 0.57% 1 : 173 87.78%
32 77 87766 two pairs 144 0.57% 1 : 173 87.21%
33 55 86655 two pairs 144 0.57% 1 : 173 86.63%
34 44 86644 two pairs 144 0.57% 1 : 173 86.06%
35 33 86633 two pairs 144 0.57% 1 : 173 85.48%
36 22 86622 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK866 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ866 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ866 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT866 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9866 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A8766 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 A8665 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A8664 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A8663 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A8662 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ866 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ866 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT866 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9866 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K8766 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 K8665 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K8664 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K8663 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K8662 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ866 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT866 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9866 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q8766 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 Q8665 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q8664 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q8663 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q8662 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT866 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9866 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J8766 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 J8665 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J8664 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J8663 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J8662 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9866 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T8766 one pair 384 1.53% 1 : 64.2 30.67%
73 T5 T8665 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T8664 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T8663 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T8662 one pair 384 1.53% 1 : 64.2 24.53%
77 97 98766 one pair 384 1.53% 1 : 64.2 23.00%
78 95 98665 one pair 384 1.53% 1 : 64.2 21.47%
79 94 98664 one pair 384 1.53% 1 : 64.2 19.93%
80 93 98663 one pair 384 1.53% 1 : 64.2 18.40%
81 92 98662 one pair 384 1.53% 1 : 64.2 16.87%
82 75 87665 one pair 384 1.53% 1 : 64.2 15.33%
83 74 87664 one pair 384 1.53% 1 : 64.2 13.80%
84 73 87663 one pair 384 1.53% 1 : 64.2 12.27%
85 72 87662 one pair 384 1.53% 1 : 64.2 10.73%
86 54 86654 one pair 384 1.53% 1 : 64.2 9.20%
87 53 86653 one pair 384 1.53% 1 : 64.2 7.67%
88 52 86652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 86643 one pair 384 1.53% 1 : 64.2 4.60%
90 42 86642 one pair 384 1.53% 1 : 64.2 3.07%
91 32 86632 one pair 384 1.53% 1 : 64.2 1.53%