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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 99 99993 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 93 99933 full house 24 0.10% 1 : 1043 99.98%
3 33 99333 full house 24 0.10% 1 : 1043 99.89%
 
4 A9 A9993 three of a kind 64 0.26% 1 : 390 99.79%
5 K9 K9993 three of a kind 64 0.26% 1 : 390 99.54%
6 Q9 Q9993 three of a kind 64 0.26% 1 : 390 99.28%
7 J9 J9993 three of a kind 64 0.26% 1 : 390 99.03%
8 T9 T9993 three of a kind 64 0.26% 1 : 390 98.77%
9 98 99983 three of a kind 64 0.26% 1 : 390 98.51%
10 97 99973 three of a kind 64 0.26% 1 : 390 98.26%
11 96 99963 three of a kind 64 0.26% 1 : 390 98.00%
12 95 99953 three of a kind 64 0.26% 1 : 390 97.75%
13 94 99943 three of a kind 64 0.26% 1 : 390 97.49%
14 92 99932 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA993 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK993 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ993 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ993 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT993 two pairs 144 0.57% 1 : 173 94.68%
20 88 99883 two pairs 144 0.57% 1 : 173 94.11%
21 77 99773 two pairs 144 0.57% 1 : 173 93.53%
22 66 99663 two pairs 144 0.57% 1 : 173 92.96%
23 55 99553 two pairs 144 0.57% 1 : 173 92.38%
24 44 99443 two pairs 144 0.57% 1 : 173 91.81%
25 A3 A9933 two pairs 144 0.57% 1 : 173 91.23%
26 K3 K9933 two pairs 144 0.57% 1 : 173 90.66%
27 Q3 Q9933 two pairs 144 0.57% 1 : 173 90.08%
28 J3 J9933 two pairs 144 0.57% 1 : 173 89.51%
29 T3 T9933 two pairs 144 0.57% 1 : 173 88.93%
30 83 99833 two pairs 144 0.57% 1 : 173 88.36%
31 73 99733 two pairs 144 0.57% 1 : 173 87.78%
32 63 99633 two pairs 144 0.57% 1 : 173 87.21%
33 53 99533 two pairs 144 0.57% 1 : 173 86.63%
34 43 99433 two pairs 144 0.57% 1 : 173 86.06%
35 32 99332 two pairs 144 0.57% 1 : 173 85.48%
36 22 99322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK993 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ993 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ993 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT993 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 A9983 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A9973 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A9963 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A9953 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 A9943 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A9932 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ993 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ993 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT993 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 K9983 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K9973 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K9963 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K9953 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 K9943 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K9932 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ993 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT993 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 Q9983 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q9973 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q9963 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q9953 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 Q9943 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q9932 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT993 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 J9983 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J9973 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J9963 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J9953 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 J9943 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J9932 one pair 384 1.53% 1 : 64.2 33.73%
71 T8 T9983 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T9973 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T9963 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T9953 one pair 384 1.53% 1 : 64.2 27.60%
75 T4 T9943 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T9932 one pair 384 1.53% 1 : 64.2 24.53%
77 87 99873 one pair 384 1.53% 1 : 64.2 23.00%
78 86 99863 one pair 384 1.53% 1 : 64.2 21.47%
79 85 99853 one pair 384 1.53% 1 : 64.2 19.93%
80 84 99843 one pair 384 1.53% 1 : 64.2 18.40%
81 82 99832 one pair 384 1.53% 1 : 64.2 16.87%
82 76 99763 one pair 384 1.53% 1 : 64.2 15.33%
83 75 99753 one pair 384 1.53% 1 : 64.2 13.80%
84 74 99743 one pair 384 1.53% 1 : 64.2 12.27%
85 72 99732 one pair 384 1.53% 1 : 64.2 10.73%
86 65 99653 one pair 384 1.53% 1 : 64.2 9.20%
87 64 99643 one pair 384 1.53% 1 : 64.2 7.67%
88 62 99632 one pair 384 1.53% 1 : 64.2 6.13%
89 54 99543 one pair 384 1.53% 1 : 64.2 4.60%
90 52 99532 one pair 384 1.53% 1 : 64.2 3.07%
91 42 99432 one pair 384 1.53% 1 : 64.2 1.53%