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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 93333 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 99 99933 full house 24 0.10% 1 : 1043 99.98%
3 93 99333 full house 24 0.10% 1 : 1043 99.89%
 
4 A3 A9333 three of a kind 64 0.26% 1 : 390 99.79%
5 K3 K9333 three of a kind 64 0.26% 1 : 390 99.54%
6 Q3 Q9333 three of a kind 64 0.26% 1 : 390 99.28%
7 J3 J9333 three of a kind 64 0.26% 1 : 390 99.03%
8 T3 T9333 three of a kind 64 0.26% 1 : 390 98.77%
9 83 98333 three of a kind 64 0.26% 1 : 390 98.51%
10 73 97333 three of a kind 64 0.26% 1 : 390 98.26%
11 63 96333 three of a kind 64 0.26% 1 : 390 98.00%
12 53 95333 three of a kind 64 0.26% 1 : 390 97.75%
13 43 94333 three of a kind 64 0.26% 1 : 390 97.49%
14 32 93332 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA933 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK933 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ933 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ933 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT933 two pairs 144 0.57% 1 : 173 94.68%
20 A9 A9933 two pairs 144 0.57% 1 : 173 94.11%
21 K9 K9933 two pairs 144 0.57% 1 : 173 93.53%
22 Q9 Q9933 two pairs 144 0.57% 1 : 173 92.96%
23 J9 J9933 two pairs 144 0.57% 1 : 173 92.38%
24 T9 T9933 two pairs 144 0.57% 1 : 173 91.81%
25 98 99833 two pairs 144 0.57% 1 : 173 91.23%
26 97 99733 two pairs 144 0.57% 1 : 173 90.66%
27 96 99633 two pairs 144 0.57% 1 : 173 90.08%
28 95 99533 two pairs 144 0.57% 1 : 173 89.51%
29 94 99433 two pairs 144 0.57% 1 : 173 88.93%
30 92 99332 two pairs 144 0.57% 1 : 173 88.36%
31 88 98833 two pairs 144 0.57% 1 : 173 87.78%
32 77 97733 two pairs 144 0.57% 1 : 173 87.21%
33 66 96633 two pairs 144 0.57% 1 : 173 86.63%
34 55 95533 two pairs 144 0.57% 1 : 173 86.06%
35 44 94433 two pairs 144 0.57% 1 : 173 85.48%
36 22 93322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK933 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ933 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ933 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT933 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 A9833 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A9733 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A9633 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A9533 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 A9433 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A9332 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ933 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ933 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT933 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 K9833 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K9733 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K9633 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K9533 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 K9433 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K9332 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ933 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT933 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 Q9833 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q9733 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q9633 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q9533 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 Q9433 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q9332 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT933 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 J9833 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J9733 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J9633 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J9533 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 J9433 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J9332 one pair 384 1.53% 1 : 64.2 33.73%
71 T8 T9833 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T9733 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T9633 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T9533 one pair 384 1.53% 1 : 64.2 27.60%
75 T4 T9433 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T9332 one pair 384 1.53% 1 : 64.2 24.53%
77 87 98733 one pair 384 1.53% 1 : 64.2 23.00%
78 86 98633 one pair 384 1.53% 1 : 64.2 21.47%
79 85 98533 one pair 384 1.53% 1 : 64.2 19.93%
80 84 98433 one pair 384 1.53% 1 : 64.2 18.40%
81 82 98332 one pair 384 1.53% 1 : 64.2 16.87%
82 76 97633 one pair 384 1.53% 1 : 64.2 15.33%
83 75 97533 one pair 384 1.53% 1 : 64.2 13.80%
84 74 97433 one pair 384 1.53% 1 : 64.2 12.27%
85 72 97332 one pair 384 1.53% 1 : 64.2 10.73%
86 65 96533 one pair 384 1.53% 1 : 64.2 9.20%
87 64 96433 one pair 384 1.53% 1 : 64.2 7.67%
88 62 96332 one pair 384 1.53% 1 : 64.2 6.13%
89 54 95433 one pair 384 1.53% 1 : 64.2 4.60%
90 52 95332 one pair 384 1.53% 1 : 64.2 3.07%
91 42 94332 one pair 384 1.53% 1 : 64.2 1.53%