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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 QJJJJ four of a kind 4 0.02% 1 : 6260 100.00%
 
2 QQ QQQJJ full house 24 0.10% 1 : 1043 99.98%
3 QJ QQJJJ full house 24 0.10% 1 : 1043 99.89%
 
4 AJ AQJJJ three of a kind 64 0.26% 1 : 390 99.79%
5 KJ KQJJJ three of a kind 64 0.26% 1 : 390 99.54%
6 JT QJJJT three of a kind 64 0.26% 1 : 390 99.28%
7 J9 QJJJ9 three of a kind 64 0.26% 1 : 390 99.03%
8 J8 QJJJ8 three of a kind 64 0.26% 1 : 390 98.77%
9 J7 QJJJ7 three of a kind 64 0.26% 1 : 390 98.51%
10 J6 QJJJ6 three of a kind 64 0.26% 1 : 390 98.26%
11 J5 QJJJ5 three of a kind 64 0.26% 1 : 390 98.00%
12 J4 QJJJ4 three of a kind 64 0.26% 1 : 390 97.75%
13 J3 QJJJ3 three of a kind 64 0.26% 1 : 390 97.49%
14 J2 QJJJ2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQJJ two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQJJ two pairs 144 0.57% 1 : 173 96.41%
17 AQ AQQJJ two pairs 144 0.57% 1 : 173 95.83%
18 KQ KQQJJ two pairs 144 0.57% 1 : 173 95.26%
19 QT QQJJT two pairs 144 0.57% 1 : 173 94.68%
20 Q9 QQJJ9 two pairs 144 0.57% 1 : 173 94.11%
21 Q8 QQJJ8 two pairs 144 0.57% 1 : 173 93.53%
22 Q7 QQJJ7 two pairs 144 0.57% 1 : 173 92.96%
23 Q6 QQJJ6 two pairs 144 0.57% 1 : 173 92.38%
24 Q5 QQJJ5 two pairs 144 0.57% 1 : 173 91.81%
25 Q4 QQJJ4 two pairs 144 0.57% 1 : 173 91.23%
26 Q3 QQJJ3 two pairs 144 0.57% 1 : 173 90.66%
27 Q2 QQJJ2 two pairs 144 0.57% 1 : 173 90.08%
28 TT QJJTT two pairs 144 0.57% 1 : 173 89.51%
29 99 QJJ99 two pairs 144 0.57% 1 : 173 88.93%
30 88 QJJ88 two pairs 144 0.57% 1 : 173 88.36%
31 77 QJJ77 two pairs 144 0.57% 1 : 173 87.78%
32 66 QJJ66 two pairs 144 0.57% 1 : 173 87.21%
33 55 QJJ55 two pairs 144 0.57% 1 : 173 86.63%
34 44 QJJ44 two pairs 144 0.57% 1 : 173 86.06%
35 33 QJJ33 two pairs 144 0.57% 1 : 173 85.48%
36 22 QJJ22 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQJJ one pair 384 1.53% 1 : 64.2 84.33%
38 AT AQJJT one pair 384 1.53% 1 : 64.2 82.80%
39 A9 AQJJ9 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 AQJJ8 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AQJJ7 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AQJJ6 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AQJJ5 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AQJJ4 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AQJJ3 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AQJJ2 one pair 384 1.53% 1 : 64.2 70.53%
47 KT KQJJT one pair 384 1.53% 1 : 64.2 69.00%
48 K9 KQJJ9 one pair 384 1.53% 1 : 64.2 67.47%
49 K8 KQJJ8 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 KQJJ7 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KQJJ6 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KQJJ5 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KQJJ4 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KQJJ3 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KQJJ2 one pair 384 1.53% 1 : 64.2 56.73%
56 T9 QJJT9 one pair 384 1.53% 1 : 64.2 55.20%
57 T8 QJJT8 one pair 384 1.53% 1 : 64.2 53.67%
58 T7 QJJT7 one pair 384 1.53% 1 : 64.2 52.13%
59 T6 QJJT6 one pair 384 1.53% 1 : 64.2 50.60%
60 T5 QJJT5 one pair 384 1.53% 1 : 64.2 49.07%
61 T4 QJJT4 one pair 384 1.53% 1 : 64.2 47.53%
62 T3 QJJT3 one pair 384 1.53% 1 : 64.2 46.00%
63 T2 QJJT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 QJJ98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 QJJ97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 QJJ96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 QJJ95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 QJJ94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 QJJ93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 QJJ92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 QJJ87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 QJJ86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 QJJ85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 QJJ84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 QJJ83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 QJJ82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 QJJ76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 QJJ75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 QJJ74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 QJJ73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 QJJ72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 QJJ65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 QJJ64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 QJJ63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 QJJ62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 QJJ54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 QJJ53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 QJJ52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 QJJ43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 QJJ42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 QJJ32 one pair 384 1.53% 1 : 64.2 1.53%