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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 AA AAAAJ four of a kind 4 0.02% 1 : 6260 100.00%
 
2 AJ AAAJJ full house 24 0.10% 1 : 1043 99.98%
3 JJ AAJJJ full house 24 0.10% 1 : 1043 99.89%
 
4 AK AAAKJ three of a kind 64 0.26% 1 : 390 99.79%
5 AQ AAAQJ three of a kind 64 0.26% 1 : 390 99.54%
6 AT AAAJT three of a kind 64 0.26% 1 : 390 99.28%
7 A9 AAAJ9 three of a kind 64 0.26% 1 : 390 99.03%
8 A8 AAAJ8 three of a kind 64 0.26% 1 : 390 98.77%
9 A7 AAAJ7 three of a kind 64 0.26% 1 : 390 98.51%
10 A6 AAAJ6 three of a kind 64 0.26% 1 : 390 98.26%
11 A5 AAAJ5 three of a kind 64 0.26% 1 : 390 98.00%
12 A4 AAAJ4 three of a kind 64 0.26% 1 : 390 97.75%
13 A3 AAAJ3 three of a kind 64 0.26% 1 : 390 97.49%
14 A2 AAAJ2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 KK AAKKJ two pairs 144 0.57% 1 : 173 96.98%
16 QQ AAQQJ two pairs 144 0.57% 1 : 173 96.41%
17 KJ AAKJJ two pairs 144 0.57% 1 : 173 95.83%
18 QJ AAQJJ two pairs 144 0.57% 1 : 173 95.26%
19 JT AAJJT two pairs 144 0.57% 1 : 173 94.68%
20 J9 AAJJ9 two pairs 144 0.57% 1 : 173 94.11%
21 J8 AAJJ8 two pairs 144 0.57% 1 : 173 93.53%
22 J7 AAJJ7 two pairs 144 0.57% 1 : 173 92.96%
23 J6 AAJJ6 two pairs 144 0.57% 1 : 173 92.38%
24 J5 AAJJ5 two pairs 144 0.57% 1 : 173 91.81%
25 J4 AAJJ4 two pairs 144 0.57% 1 : 173 91.23%
26 J3 AAJJ3 two pairs 144 0.57% 1 : 173 90.66%
27 J2 AAJJ2 two pairs 144 0.57% 1 : 173 90.08%
28 TT AAJTT two pairs 144 0.57% 1 : 173 89.51%
29 99 AAJ99 two pairs 144 0.57% 1 : 173 88.93%
30 88 AAJ88 two pairs 144 0.57% 1 : 173 88.36%
31 77 AAJ77 two pairs 144 0.57% 1 : 173 87.78%
32 66 AAJ66 two pairs 144 0.57% 1 : 173 87.21%
33 55 AAJ55 two pairs 144 0.57% 1 : 173 86.63%
34 44 AAJ44 two pairs 144 0.57% 1 : 173 86.06%
35 33 AAJ33 two pairs 144 0.57% 1 : 173 85.48%
36 22 AAJ22 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AAKQJ one pair 384 1.53% 1 : 64.2 84.33%
38 KT AAKJT one pair 384 1.53% 1 : 64.2 82.80%
39 K9 AAKJ9 one pair 384 1.53% 1 : 64.2 81.26%
40 K8 AAKJ8 one pair 384 1.53% 1 : 64.2 79.73%
41 K7 AAKJ7 one pair 384 1.53% 1 : 64.2 78.20%
42 K6 AAKJ6 one pair 384 1.53% 1 : 64.2 76.67%
43 K5 AAKJ5 one pair 384 1.53% 1 : 64.2 75.13%
44 K4 AAKJ4 one pair 384 1.53% 1 : 64.2 73.60%
45 K3 AAKJ3 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AAKJ2 one pair 384 1.53% 1 : 64.2 70.53%
47 QT AAQJT one pair 384 1.53% 1 : 64.2 69.00%
48 Q9 AAQJ9 one pair 384 1.53% 1 : 64.2 67.47%
49 Q8 AAQJ8 one pair 384 1.53% 1 : 64.2 65.93%
50 Q7 AAQJ7 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 AAQJ6 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 AAQJ5 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 AAQJ4 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 AAQJ3 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 AAQJ2 one pair 384 1.53% 1 : 64.2 56.73%
56 T9 AAJT9 one pair 384 1.53% 1 : 64.2 55.20%
57 T8 AAJT8 one pair 384 1.53% 1 : 64.2 53.67%
58 T7 AAJT7 one pair 384 1.53% 1 : 64.2 52.13%
59 T6 AAJT6 one pair 384 1.53% 1 : 64.2 50.60%
60 T5 AAJT5 one pair 384 1.53% 1 : 64.2 49.07%
61 T4 AAJT4 one pair 384 1.53% 1 : 64.2 47.53%
62 T3 AAJT3 one pair 384 1.53% 1 : 64.2 46.00%
63 T2 AAJT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 AAJ98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 AAJ97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 AAJ96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 AAJ95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 AAJ94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 AAJ93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 AAJ92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 AAJ87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 AAJ86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 AAJ85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 AAJ84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 AAJ83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 AAJ82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 AAJ76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 AAJ75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 AAJ74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 AAJ73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 AAJ72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 AAJ65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 AAJ64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 AAJ63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 AAJ62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 AAJ54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 AAJ53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 AAJ52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 AAJ43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 AAJ42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 AAJ32 one pair 384 1.53% 1 : 64.2 1.53%