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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 QQ QQQQ5 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 Q5 QQQ55 full house 24 0.10% 1 : 1043 99.98%
3 55 QQ555 full house 24 0.10% 1 : 1043 99.89%
 
4 AQ AQQQ5 three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KQQQ5 three of a kind 64 0.26% 1 : 390 99.54%
6 QJ QQQJ5 three of a kind 64 0.26% 1 : 390 99.28%
7 QT QQQT5 three of a kind 64 0.26% 1 : 390 99.03%
8 Q9 QQQ95 three of a kind 64 0.26% 1 : 390 98.77%
9 Q8 QQQ85 three of a kind 64 0.26% 1 : 390 98.51%
10 Q7 QQQ75 three of a kind 64 0.26% 1 : 390 98.26%
11 Q6 QQQ65 three of a kind 64 0.26% 1 : 390 98.00%
12 Q4 QQQ54 three of a kind 64 0.26% 1 : 390 97.75%
13 Q3 QQQ53 three of a kind 64 0.26% 1 : 390 97.49%
14 Q2 QQQ52 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQQ5 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQQ5 two pairs 144 0.57% 1 : 173 96.41%
17 JJ QQJJ5 two pairs 144 0.57% 1 : 173 95.83%
18 TT QQTT5 two pairs 144 0.57% 1 : 173 95.26%
19 99 QQ995 two pairs 144 0.57% 1 : 173 94.68%
20 88 QQ885 two pairs 144 0.57% 1 : 173 94.11%
21 77 QQ775 two pairs 144 0.57% 1 : 173 93.53%
22 66 QQ665 two pairs 144 0.57% 1 : 173 92.96%
23 A5 AQQ55 two pairs 144 0.57% 1 : 173 92.38%
24 K5 KQQ55 two pairs 144 0.57% 1 : 173 91.81%
25 J5 QQJ55 two pairs 144 0.57% 1 : 173 91.23%
26 T5 QQT55 two pairs 144 0.57% 1 : 173 90.66%
27 95 QQ955 two pairs 144 0.57% 1 : 173 90.08%
28 85 QQ855 two pairs 144 0.57% 1 : 173 89.51%
29 75 QQ755 two pairs 144 0.57% 1 : 173 88.93%
30 65 QQ655 two pairs 144 0.57% 1 : 173 88.36%
31 54 QQ554 two pairs 144 0.57% 1 : 173 87.78%
32 53 QQ553 two pairs 144 0.57% 1 : 173 87.21%
33 52 QQ552 two pairs 144 0.57% 1 : 173 86.63%
34 44 QQ544 two pairs 144 0.57% 1 : 173 86.06%
35 33 QQ533 two pairs 144 0.57% 1 : 173 85.48%
36 22 QQ522 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQQ5 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AQQJ5 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AQQT5 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AQQ95 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AQQ85 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AQQ75 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AQQ65 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AQQ54 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AQQ53 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AQQ52 one pair 384 1.53% 1 : 64.2 70.53%
47 KJ KQQJ5 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KQQT5 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KQQ95 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KQQ85 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KQQ75 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KQQ65 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KQQ54 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KQQ53 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KQQ52 one pair 384 1.53% 1 : 64.2 56.73%
56 JT QQJT5 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 QQJ95 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 QQJ85 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 QQJ75 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 QQJ65 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 QQJ54 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 QQJ53 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 QQJ52 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 QQT95 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 QQT85 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 QQT75 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 QQT65 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 QQT54 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 QQT53 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 QQT52 one pair 384 1.53% 1 : 64.2 33.73%
71 98 QQ985 one pair 384 1.53% 1 : 64.2 32.20%
72 97 QQ975 one pair 384 1.53% 1 : 64.2 30.67%
73 96 QQ965 one pair 384 1.53% 1 : 64.2 29.13%
74 94 QQ954 one pair 384 1.53% 1 : 64.2 27.60%
75 93 QQ953 one pair 384 1.53% 1 : 64.2 26.07%
76 92 QQ952 one pair 384 1.53% 1 : 64.2 24.53%
77 87 QQ875 one pair 384 1.53% 1 : 64.2 23.00%
78 86 QQ865 one pair 384 1.53% 1 : 64.2 21.47%
79 84 QQ854 one pair 384 1.53% 1 : 64.2 19.93%
80 83 QQ853 one pair 384 1.53% 1 : 64.2 18.40%
81 82 QQ852 one pair 384 1.53% 1 : 64.2 16.87%
82 76 QQ765 one pair 384 1.53% 1 : 64.2 15.33%
83 74 QQ754 one pair 384 1.53% 1 : 64.2 13.80%
84 73 QQ753 one pair 384 1.53% 1 : 64.2 12.27%
85 72 QQ752 one pair 384 1.53% 1 : 64.2 10.73%
86 64 QQ654 one pair 384 1.53% 1 : 64.2 9.20%
87 63 QQ653 one pair 384 1.53% 1 : 64.2 7.67%
88 62 QQ652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 QQ543 one pair 384 1.53% 1 : 64.2 4.60%
90 42 QQ542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 QQ532 one pair 384 1.53% 1 : 64.2 1.53%