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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 KJJJJ four of a kind 4 0.02% 1 : 6260 100.00%
 
2 KK KKKJJ full house 24 0.10% 1 : 1043 99.98%
3 KJ KKJJJ full house 24 0.10% 1 : 1043 99.89%
 
4 AJ AKJJJ three of a kind 64 0.26% 1 : 390 99.79%
5 QJ KQJJJ three of a kind 64 0.26% 1 : 390 99.54%
6 JT KJJJT three of a kind 64 0.26% 1 : 390 99.28%
7 J9 KJJJ9 three of a kind 64 0.26% 1 : 390 99.03%
8 J8 KJJJ8 three of a kind 64 0.26% 1 : 390 98.77%
9 J7 KJJJ7 three of a kind 64 0.26% 1 : 390 98.51%
10 J6 KJJJ6 three of a kind 64 0.26% 1 : 390 98.26%
11 J5 KJJJ5 three of a kind 64 0.26% 1 : 390 98.00%
12 J4 KJJJ4 three of a kind 64 0.26% 1 : 390 97.75%
13 J3 KJJJ3 three of a kind 64 0.26% 1 : 390 97.49%
14 J2 KJJJ2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAKJJ two pairs 144 0.57% 1 : 173 96.98%
16 AK AKKJJ two pairs 144 0.57% 1 : 173 96.41%
17 KQ KKQJJ two pairs 144 0.57% 1 : 173 95.83%
18 KT KKJJT two pairs 144 0.57% 1 : 173 95.26%
19 K9 KKJJ9 two pairs 144 0.57% 1 : 173 94.68%
20 K8 KKJJ8 two pairs 144 0.57% 1 : 173 94.11%
21 K7 KKJJ7 two pairs 144 0.57% 1 : 173 93.53%
22 K6 KKJJ6 two pairs 144 0.57% 1 : 173 92.96%
23 K5 KKJJ5 two pairs 144 0.57% 1 : 173 92.38%
24 K4 KKJJ4 two pairs 144 0.57% 1 : 173 91.81%
25 K3 KKJJ3 two pairs 144 0.57% 1 : 173 91.23%
26 K2 KKJJ2 two pairs 144 0.57% 1 : 173 90.66%
27 QQ KQQJJ two pairs 144 0.57% 1 : 173 90.08%
28 TT KJJTT two pairs 144 0.57% 1 : 173 89.51%
29 99 KJJ99 two pairs 144 0.57% 1 : 173 88.93%
30 88 KJJ88 two pairs 144 0.57% 1 : 173 88.36%
31 77 KJJ77 two pairs 144 0.57% 1 : 173 87.78%
32 66 KJJ66 two pairs 144 0.57% 1 : 173 87.21%
33 55 KJJ55 two pairs 144 0.57% 1 : 173 86.63%
34 44 KJJ44 two pairs 144 0.57% 1 : 173 86.06%
35 33 KJJ33 two pairs 144 0.57% 1 : 173 85.48%
36 22 KJJ22 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKQJJ one pair 384 1.53% 1 : 64.2 84.33%
38 AT AKJJT one pair 384 1.53% 1 : 64.2 82.80%
39 A9 AKJJ9 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 AKJJ8 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AKJJ7 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AKJJ6 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AKJJ5 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AKJJ4 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AKJJ3 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AKJJ2 one pair 384 1.53% 1 : 64.2 70.53%
47 QT KQJJT one pair 384 1.53% 1 : 64.2 69.00%
48 Q9 KQJJ9 one pair 384 1.53% 1 : 64.2 67.47%
49 Q8 KQJJ8 one pair 384 1.53% 1 : 64.2 65.93%
50 Q7 KQJJ7 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 KQJJ6 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 KQJJ5 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 KQJJ4 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 KQJJ3 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 KQJJ2 one pair 384 1.53% 1 : 64.2 56.73%
56 T9 KJJT9 one pair 384 1.53% 1 : 64.2 55.20%
57 T8 KJJT8 one pair 384 1.53% 1 : 64.2 53.67%
58 T7 KJJT7 one pair 384 1.53% 1 : 64.2 52.13%
59 T6 KJJT6 one pair 384 1.53% 1 : 64.2 50.60%
60 T5 KJJT5 one pair 384 1.53% 1 : 64.2 49.07%
61 T4 KJJT4 one pair 384 1.53% 1 : 64.2 47.53%
62 T3 KJJT3 one pair 384 1.53% 1 : 64.2 46.00%
63 T2 KJJT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 KJJ98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 KJJ97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 KJJ96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 KJJ95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 KJJ94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 KJJ93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 KJJ92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 KJJ87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 KJJ86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 KJJ85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 KJJ84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 KJJ83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 KJJ82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 KJJ76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 KJJ75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 KJJ74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 KJJ73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 KJJ72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 KJJ65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 KJJ64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 KJJ63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 KJJ62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 KJJ54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 KJJ53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 KJJ52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 KJJ43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 KJJ42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 KJJ32 one pair 384 1.53% 1 : 64.2 1.53%