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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 66663 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 63 66633 full house 24 0.10% 1 : 1043 99.98%
3 33 66333 full house 24 0.10% 1 : 1043 99.89%
 
4 A6 A6663 three of a kind 64 0.26% 1 : 390 99.79%
5 K6 K6663 three of a kind 64 0.26% 1 : 390 99.54%
6 Q6 Q6663 three of a kind 64 0.26% 1 : 390 99.28%
7 J6 J6663 three of a kind 64 0.26% 1 : 390 99.03%
8 T6 T6663 three of a kind 64 0.26% 1 : 390 98.77%
9 96 96663 three of a kind 64 0.26% 1 : 390 98.51%
10 86 86663 three of a kind 64 0.26% 1 : 390 98.26%
11 76 76663 three of a kind 64 0.26% 1 : 390 98.00%
12 65 66653 three of a kind 64 0.26% 1 : 390 97.75%
13 64 66643 three of a kind 64 0.26% 1 : 390 97.49%
14 62 66632 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA663 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK663 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ663 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ663 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT663 two pairs 144 0.57% 1 : 173 94.68%
20 99 99663 two pairs 144 0.57% 1 : 173 94.11%
21 88 88663 two pairs 144 0.57% 1 : 173 93.53%
22 77 77663 two pairs 144 0.57% 1 : 173 92.96%
23 55 66553 two pairs 144 0.57% 1 : 173 92.38%
24 44 66443 two pairs 144 0.57% 1 : 173 91.81%
25 A3 A6633 two pairs 144 0.57% 1 : 173 91.23%
26 K3 K6633 two pairs 144 0.57% 1 : 173 90.66%
27 Q3 Q6633 two pairs 144 0.57% 1 : 173 90.08%
28 J3 J6633 two pairs 144 0.57% 1 : 173 89.51%
29 T3 T6633 two pairs 144 0.57% 1 : 173 88.93%
30 93 96633 two pairs 144 0.57% 1 : 173 88.36%
31 83 86633 two pairs 144 0.57% 1 : 173 87.78%
32 73 76633 two pairs 144 0.57% 1 : 173 87.21%
33 53 66533 two pairs 144 0.57% 1 : 173 86.63%
34 43 66433 two pairs 144 0.57% 1 : 173 86.06%
35 32 66332 two pairs 144 0.57% 1 : 173 85.48%
36 22 66322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK663 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ663 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ663 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT663 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9663 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8663 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7663 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A6653 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 A6643 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A6632 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ663 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ663 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT663 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9663 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8663 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7663 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K6653 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 K6643 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K6632 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ663 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT663 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9663 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8663 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7663 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q6653 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 Q6643 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q6632 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT663 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9663 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8663 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7663 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J6653 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 J6643 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J6632 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9663 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8663 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7663 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T6653 one pair 384 1.53% 1 : 64.2 27.60%
75 T4 T6643 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T6632 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98663 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97663 one pair 384 1.53% 1 : 64.2 21.47%
79 95 96653 one pair 384 1.53% 1 : 64.2 19.93%
80 94 96643 one pair 384 1.53% 1 : 64.2 18.40%
81 92 96632 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87663 one pair 384 1.53% 1 : 64.2 15.33%
83 85 86653 one pair 384 1.53% 1 : 64.2 13.80%
84 84 86643 one pair 384 1.53% 1 : 64.2 12.27%
85 82 86632 one pair 384 1.53% 1 : 64.2 10.73%
86 75 76653 one pair 384 1.53% 1 : 64.2 9.20%
87 74 76643 one pair 384 1.53% 1 : 64.2 7.67%
88 72 76632 one pair 384 1.53% 1 : 64.2 6.13%
89 54 66543 one pair 384 1.53% 1 : 64.2 4.60%
90 52 66532 one pair 384 1.53% 1 : 64.2 3.07%
91 42 66432 one pair 384 1.53% 1 : 64.2 1.53%