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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 JJ AJJJJ four of a kind 4 0.02% 1 : 6260 100.00%
 
2 AA AAAJJ full house 24 0.10% 1 : 1043 99.98%
3 AJ AAJJJ full house 24 0.10% 1 : 1043 99.89%
 
4 KJ AKJJJ three of a kind 64 0.26% 1 : 390 99.79%
5 QJ AQJJJ three of a kind 64 0.26% 1 : 390 99.54%
6 JT AJJJT three of a kind 64 0.26% 1 : 390 99.28%
7 J9 AJJJ9 three of a kind 64 0.26% 1 : 390 99.03%
8 J8 AJJJ8 three of a kind 64 0.26% 1 : 390 98.77%
9 J7 AJJJ7 three of a kind 64 0.26% 1 : 390 98.51%
10 J6 AJJJ6 three of a kind 64 0.26% 1 : 390 98.26%
11 J5 AJJJ5 three of a kind 64 0.26% 1 : 390 98.00%
12 J4 AJJJ4 three of a kind 64 0.26% 1 : 390 97.75%
13 J3 AJJJ3 three of a kind 64 0.26% 1 : 390 97.49%
14 J2 AJJJ2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AK AAKJJ two pairs 144 0.57% 1 : 173 96.98%
16 AQ AAQJJ two pairs 144 0.57% 1 : 173 96.41%
17 AT AAJJT two pairs 144 0.57% 1 : 173 95.83%
18 A9 AAJJ9 two pairs 144 0.57% 1 : 173 95.26%
19 A8 AAJJ8 two pairs 144 0.57% 1 : 173 94.68%
20 A7 AAJJ7 two pairs 144 0.57% 1 : 173 94.11%
21 A6 AAJJ6 two pairs 144 0.57% 1 : 173 93.53%
22 A5 AAJJ5 two pairs 144 0.57% 1 : 173 92.96%
23 A4 AAJJ4 two pairs 144 0.57% 1 : 173 92.38%
24 A3 AAJJ3 two pairs 144 0.57% 1 : 173 91.81%
25 A2 AAJJ2 two pairs 144 0.57% 1 : 173 91.23%
26 KK AKKJJ two pairs 144 0.57% 1 : 173 90.66%
27 QQ AQQJJ two pairs 144 0.57% 1 : 173 90.08%
28 TT AJJTT two pairs 144 0.57% 1 : 173 89.51%
29 99 AJJ99 two pairs 144 0.57% 1 : 173 88.93%
30 88 AJJ88 two pairs 144 0.57% 1 : 173 88.36%
31 77 AJJ77 two pairs 144 0.57% 1 : 173 87.78%
32 66 AJJ66 two pairs 144 0.57% 1 : 173 87.21%
33 55 AJJ55 two pairs 144 0.57% 1 : 173 86.63%
34 44 AJJ44 two pairs 144 0.57% 1 : 173 86.06%
35 33 AJJ33 two pairs 144 0.57% 1 : 173 85.48%
36 22 AJJ22 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AKQJJ one pair 384 1.53% 1 : 64.2 84.33%
38 KT AKJJT one pair 384 1.53% 1 : 64.2 82.80%
39 K9 AKJJ9 one pair 384 1.53% 1 : 64.2 81.26%
40 K8 AKJJ8 one pair 384 1.53% 1 : 64.2 79.73%
41 K7 AKJJ7 one pair 384 1.53% 1 : 64.2 78.20%
42 K6 AKJJ6 one pair 384 1.53% 1 : 64.2 76.67%
43 K5 AKJJ5 one pair 384 1.53% 1 : 64.2 75.13%
44 K4 AKJJ4 one pair 384 1.53% 1 : 64.2 73.60%
45 K3 AKJJ3 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AKJJ2 one pair 384 1.53% 1 : 64.2 70.53%
47 QT AQJJT one pair 384 1.53% 1 : 64.2 69.00%
48 Q9 AQJJ9 one pair 384 1.53% 1 : 64.2 67.47%
49 Q8 AQJJ8 one pair 384 1.53% 1 : 64.2 65.93%
50 Q7 AQJJ7 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 AQJJ6 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 AQJJ5 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 AQJJ4 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 AQJJ3 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 AQJJ2 one pair 384 1.53% 1 : 64.2 56.73%
56 T9 AJJT9 one pair 384 1.53% 1 : 64.2 55.20%
57 T8 AJJT8 one pair 384 1.53% 1 : 64.2 53.67%
58 T7 AJJT7 one pair 384 1.53% 1 : 64.2 52.13%
59 T6 AJJT6 one pair 384 1.53% 1 : 64.2 50.60%
60 T5 AJJT5 one pair 384 1.53% 1 : 64.2 49.07%
61 T4 AJJT4 one pair 384 1.53% 1 : 64.2 47.53%
62 T3 AJJT3 one pair 384 1.53% 1 : 64.2 46.00%
63 T2 AJJT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 AJJ98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 AJJ97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 AJJ96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 AJJ95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 AJJ94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 AJJ93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 AJJ92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 AJJ87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 AJJ86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 AJJ85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 AJJ84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 AJJ83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 AJJ82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 AJJ76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 AJJ75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 AJJ74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 AJJ73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 AJJ72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 AJJ65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 AJJ64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 AJJ63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 AJJ62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 AJJ54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 AJJ53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 AJJ52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 AJJ43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 AJJ42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 AJJ32 one pair 384 1.53% 1 : 64.2 1.53%