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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 33 63333 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 66 66633 full house 24 0.10% 1 : 1043 99.98%
3 63 66333 full house 24 0.10% 1 : 1043 99.89%
 
4 A3 A6333 three of a kind 64 0.26% 1 : 390 99.79%
5 K3 K6333 three of a kind 64 0.26% 1 : 390 99.54%
6 Q3 Q6333 three of a kind 64 0.26% 1 : 390 99.28%
7 J3 J6333 three of a kind 64 0.26% 1 : 390 99.03%
8 T3 T6333 three of a kind 64 0.26% 1 : 390 98.77%
9 93 96333 three of a kind 64 0.26% 1 : 390 98.51%
10 83 86333 three of a kind 64 0.26% 1 : 390 98.26%
11 73 76333 three of a kind 64 0.26% 1 : 390 98.00%
12 53 65333 three of a kind 64 0.26% 1 : 390 97.75%
13 43 64333 three of a kind 64 0.26% 1 : 390 97.49%
14 32 63332 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA633 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK633 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ633 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ633 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT633 two pairs 144 0.57% 1 : 173 94.68%
20 99 99633 two pairs 144 0.57% 1 : 173 94.11%
21 88 88633 two pairs 144 0.57% 1 : 173 93.53%
22 77 77633 two pairs 144 0.57% 1 : 173 92.96%
23 A6 A6633 two pairs 144 0.57% 1 : 173 92.38%
24 K6 K6633 two pairs 144 0.57% 1 : 173 91.81%
25 Q6 Q6633 two pairs 144 0.57% 1 : 173 91.23%
26 J6 J6633 two pairs 144 0.57% 1 : 173 90.66%
27 T6 T6633 two pairs 144 0.57% 1 : 173 90.08%
28 96 96633 two pairs 144 0.57% 1 : 173 89.51%
29 86 86633 two pairs 144 0.57% 1 : 173 88.93%
30 76 76633 two pairs 144 0.57% 1 : 173 88.36%
31 65 66533 two pairs 144 0.57% 1 : 173 87.78%
32 64 66433 two pairs 144 0.57% 1 : 173 87.21%
33 62 66332 two pairs 144 0.57% 1 : 173 86.63%
34 55 65533 two pairs 144 0.57% 1 : 173 86.06%
35 44 64433 two pairs 144 0.57% 1 : 173 85.48%
36 22 63322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK633 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ633 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ633 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT633 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9633 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8633 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7633 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A6533 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 A6433 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A6332 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ633 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ633 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT633 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9633 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8633 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7633 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K6533 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 K6433 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K6332 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ633 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT633 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9633 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8633 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7633 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q6533 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 Q6433 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q6332 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT633 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9633 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8633 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7633 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J6533 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 J6433 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J6332 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9633 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8633 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7633 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T6533 one pair 384 1.53% 1 : 64.2 27.60%
75 T4 T6433 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T6332 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98633 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97633 one pair 384 1.53% 1 : 64.2 21.47%
79 95 96533 one pair 384 1.53% 1 : 64.2 19.93%
80 94 96433 one pair 384 1.53% 1 : 64.2 18.40%
81 92 96332 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87633 one pair 384 1.53% 1 : 64.2 15.33%
83 85 86533 one pair 384 1.53% 1 : 64.2 13.80%
84 84 86433 one pair 384 1.53% 1 : 64.2 12.27%
85 82 86332 one pair 384 1.53% 1 : 64.2 10.73%
86 75 76533 one pair 384 1.53% 1 : 64.2 9.20%
87 74 76433 one pair 384 1.53% 1 : 64.2 7.67%
88 72 76332 one pair 384 1.53% 1 : 64.2 6.13%
89 54 65433 one pair 384 1.53% 1 : 64.2 4.60%
90 52 65332 one pair 384 1.53% 1 : 64.2 3.07%
91 42 64332 one pair 384 1.53% 1 : 64.2 1.53%