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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 66665 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 65 66655 full house 24 0.10% 1 : 1043 99.98%
3 55 66555 full house 24 0.10% 1 : 1043 99.89%
 
4 A6 A6665 three of a kind 64 0.26% 1 : 390 99.79%
5 K6 K6665 three of a kind 64 0.26% 1 : 390 99.54%
6 Q6 Q6665 three of a kind 64 0.26% 1 : 390 99.28%
7 J6 J6665 three of a kind 64 0.26% 1 : 390 99.03%
8 T6 T6665 three of a kind 64 0.26% 1 : 390 98.77%
9 96 96665 three of a kind 64 0.26% 1 : 390 98.51%
10 86 86665 three of a kind 64 0.26% 1 : 390 98.26%
11 76 76665 three of a kind 64 0.26% 1 : 390 98.00%
12 64 66654 three of a kind 64 0.26% 1 : 390 97.75%
13 63 66653 three of a kind 64 0.26% 1 : 390 97.49%
14 62 66652 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA665 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK665 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ665 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ665 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT665 two pairs 144 0.57% 1 : 173 94.68%
20 99 99665 two pairs 144 0.57% 1 : 173 94.11%
21 88 88665 two pairs 144 0.57% 1 : 173 93.53%
22 77 77665 two pairs 144 0.57% 1 : 173 92.96%
23 A5 A6655 two pairs 144 0.57% 1 : 173 92.38%
24 K5 K6655 two pairs 144 0.57% 1 : 173 91.81%
25 Q5 Q6655 two pairs 144 0.57% 1 : 173 91.23%
26 J5 J6655 two pairs 144 0.57% 1 : 173 90.66%
27 T5 T6655 two pairs 144 0.57% 1 : 173 90.08%
28 95 96655 two pairs 144 0.57% 1 : 173 89.51%
29 85 86655 two pairs 144 0.57% 1 : 173 88.93%
30 75 76655 two pairs 144 0.57% 1 : 173 88.36%
31 54 66554 two pairs 144 0.57% 1 : 173 87.78%
32 53 66553 two pairs 144 0.57% 1 : 173 87.21%
33 52 66552 two pairs 144 0.57% 1 : 173 86.63%
34 44 66544 two pairs 144 0.57% 1 : 173 86.06%
35 33 66533 two pairs 144 0.57% 1 : 173 85.48%
36 22 66522 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK665 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ665 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ665 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT665 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9665 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8665 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7665 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A6654 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A6653 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A6652 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ665 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ665 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT665 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9665 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8665 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7665 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K6654 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K6653 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K6652 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ665 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT665 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9665 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8665 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7665 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q6654 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q6653 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q6652 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT665 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9665 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8665 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7665 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J6654 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J6653 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J6652 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9665 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8665 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7665 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T6654 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T6653 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T6652 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98665 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97665 one pair 384 1.53% 1 : 64.2 21.47%
79 94 96654 one pair 384 1.53% 1 : 64.2 19.93%
80 93 96653 one pair 384 1.53% 1 : 64.2 18.40%
81 92 96652 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87665 one pair 384 1.53% 1 : 64.2 15.33%
83 84 86654 one pair 384 1.53% 1 : 64.2 13.80%
84 83 86653 one pair 384 1.53% 1 : 64.2 12.27%
85 82 86652 one pair 384 1.53% 1 : 64.2 10.73%
86 74 76654 one pair 384 1.53% 1 : 64.2 9.20%
87 73 76653 one pair 384 1.53% 1 : 64.2 7.67%
88 72 76652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 66543 one pair 384 1.53% 1 : 64.2 4.60%
90 42 66542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 66532 one pair 384 1.53% 1 : 64.2 1.53%