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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 QQQQ3 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 Q3 QQQ33 full house 24 0.10% 1 : 1043 99.98%
3 33 QQ333 full house 24 0.10% 1 : 1043 99.89%
 
4 AQ AQQQ3 three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KQQQ3 three of a kind 64 0.26% 1 : 390 99.54%
6 QJ QQQJ3 three of a kind 64 0.26% 1 : 390 99.28%
7 QT QQQT3 three of a kind 64 0.26% 1 : 390 99.03%
8 Q9 QQQ93 three of a kind 64 0.26% 1 : 390 98.77%
9 Q8 QQQ83 three of a kind 64 0.26% 1 : 390 98.51%
10 Q7 QQQ73 three of a kind 64 0.26% 1 : 390 98.26%
11 Q6 QQQ63 three of a kind 64 0.26% 1 : 390 98.00%
12 Q5 QQQ53 three of a kind 64 0.26% 1 : 390 97.75%
13 Q4 QQQ43 three of a kind 64 0.26% 1 : 390 97.49%
14 Q2 QQQ32 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQQ3 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQQ3 two pairs 144 0.57% 1 : 173 96.41%
17 JJ QQJJ3 two pairs 144 0.57% 1 : 173 95.83%
18 TT QQTT3 two pairs 144 0.57% 1 : 173 95.26%
19 99 QQ993 two pairs 144 0.57% 1 : 173 94.68%
20 88 QQ883 two pairs 144 0.57% 1 : 173 94.11%
21 77 QQ773 two pairs 144 0.57% 1 : 173 93.53%
22 66 QQ663 two pairs 144 0.57% 1 : 173 92.96%
23 55 QQ553 two pairs 144 0.57% 1 : 173 92.38%
24 44 QQ443 two pairs 144 0.57% 1 : 173 91.81%
25 A3 AQQ33 two pairs 144 0.57% 1 : 173 91.23%
26 K3 KQQ33 two pairs 144 0.57% 1 : 173 90.66%
27 J3 QQJ33 two pairs 144 0.57% 1 : 173 90.08%
28 T3 QQT33 two pairs 144 0.57% 1 : 173 89.51%
29 93 QQ933 two pairs 144 0.57% 1 : 173 88.93%
30 83 QQ833 two pairs 144 0.57% 1 : 173 88.36%
31 73 QQ733 two pairs 144 0.57% 1 : 173 87.78%
32 63 QQ633 two pairs 144 0.57% 1 : 173 87.21%
33 53 QQ533 two pairs 144 0.57% 1 : 173 86.63%
34 43 QQ433 two pairs 144 0.57% 1 : 173 86.06%
35 32 QQ332 two pairs 144 0.57% 1 : 173 85.48%
36 22 QQ322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQQ3 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AQQJ3 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AQQT3 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AQQ93 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AQQ83 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AQQ73 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AQQ63 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AQQ53 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 AQQ43 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AQQ32 one pair 384 1.53% 1 : 64.2 70.53%
47 KJ KQQJ3 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KQQT3 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KQQ93 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KQQ83 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KQQ73 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KQQ63 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 KQQ53 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 KQQ43 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KQQ32 one pair 384 1.53% 1 : 64.2 56.73%
56 JT QQJT3 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 QQJ93 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 QQJ83 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 QQJ73 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 QQJ63 one pair 384 1.53% 1 : 64.2 49.07%
61 J5 QQJ53 one pair 384 1.53% 1 : 64.2 47.53%
62 J4 QQJ43 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 QQJ32 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 QQT93 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 QQT83 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 QQT73 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 QQT63 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 QQT53 one pair 384 1.53% 1 : 64.2 36.80%
69 T4 QQT43 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 QQT32 one pair 384 1.53% 1 : 64.2 33.73%
71 98 QQ983 one pair 384 1.53% 1 : 64.2 32.20%
72 97 QQ973 one pair 384 1.53% 1 : 64.2 30.67%
73 96 QQ963 one pair 384 1.53% 1 : 64.2 29.13%
74 95 QQ953 one pair 384 1.53% 1 : 64.2 27.60%
75 94 QQ943 one pair 384 1.53% 1 : 64.2 26.07%
76 92 QQ932 one pair 384 1.53% 1 : 64.2 24.53%
77 87 QQ873 one pair 384 1.53% 1 : 64.2 23.00%
78 86 QQ863 one pair 384 1.53% 1 : 64.2 21.47%
79 85 QQ853 one pair 384 1.53% 1 : 64.2 19.93%
80 84 QQ843 one pair 384 1.53% 1 : 64.2 18.40%
81 82 QQ832 one pair 384 1.53% 1 : 64.2 16.87%
82 76 QQ763 one pair 384 1.53% 1 : 64.2 15.33%
83 75 QQ753 one pair 384 1.53% 1 : 64.2 13.80%
84 74 QQ743 one pair 384 1.53% 1 : 64.2 12.27%
85 72 QQ732 one pair 384 1.53% 1 : 64.2 10.73%
86 65 QQ653 one pair 384 1.53% 1 : 64.2 9.20%
87 64 QQ643 one pair 384 1.53% 1 : 64.2 7.67%
88 62 QQ632 one pair 384 1.53% 1 : 64.2 6.13%
89 54 QQ543 one pair 384 1.53% 1 : 64.2 4.60%
90 52 QQ532 one pair 384 1.53% 1 : 64.2 3.07%
91 42 QQ432 one pair 384 1.53% 1 : 64.2 1.53%