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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 QQQQ2 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 Q2 QQQ22 full house 24 0.10% 1 : 1043 99.98%
3 22 QQ222 full house 24 0.10% 1 : 1043 99.89%
 
4 AQ AQQQ2 three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KQQQ2 three of a kind 64 0.26% 1 : 390 99.54%
6 QJ QQQJ2 three of a kind 64 0.26% 1 : 390 99.28%
7 QT QQQT2 three of a kind 64 0.26% 1 : 390 99.03%
8 Q9 QQQ92 three of a kind 64 0.26% 1 : 390 98.77%
9 Q8 QQQ82 three of a kind 64 0.26% 1 : 390 98.51%
10 Q7 QQQ72 three of a kind 64 0.26% 1 : 390 98.26%
11 Q6 QQQ62 three of a kind 64 0.26% 1 : 390 98.00%
12 Q5 QQQ52 three of a kind 64 0.26% 1 : 390 97.75%
13 Q4 QQQ42 three of a kind 64 0.26% 1 : 390 97.49%
14 Q3 QQQ32 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQQ2 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQQ2 two pairs 144 0.57% 1 : 173 96.41%
17 JJ QQJJ2 two pairs 144 0.57% 1 : 173 95.83%
18 TT QQTT2 two pairs 144 0.57% 1 : 173 95.26%
19 99 QQ992 two pairs 144 0.57% 1 : 173 94.68%
20 88 QQ882 two pairs 144 0.57% 1 : 173 94.11%
21 77 QQ772 two pairs 144 0.57% 1 : 173 93.53%
22 66 QQ662 two pairs 144 0.57% 1 : 173 92.96%
23 55 QQ552 two pairs 144 0.57% 1 : 173 92.38%
24 44 QQ442 two pairs 144 0.57% 1 : 173 91.81%
25 33 QQ332 two pairs 144 0.57% 1 : 173 91.23%
26 A2 AQQ22 two pairs 144 0.57% 1 : 173 90.66%
27 K2 KQQ22 two pairs 144 0.57% 1 : 173 90.08%
28 J2 QQJ22 two pairs 144 0.57% 1 : 173 89.51%
29 T2 QQT22 two pairs 144 0.57% 1 : 173 88.93%
30 92 QQ922 two pairs 144 0.57% 1 : 173 88.36%
31 82 QQ822 two pairs 144 0.57% 1 : 173 87.78%
32 72 QQ722 two pairs 144 0.57% 1 : 173 87.21%
33 62 QQ622 two pairs 144 0.57% 1 : 173 86.63%
34 52 QQ522 two pairs 144 0.57% 1 : 173 86.06%
35 42 QQ422 two pairs 144 0.57% 1 : 173 85.48%
36 32 QQ322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQQ2 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AQQJ2 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AQQT2 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AQQ92 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AQQ82 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AQQ72 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AQQ62 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AQQ52 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 AQQ42 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 AQQ32 one pair 384 1.53% 1 : 64.2 70.53%
47 KJ KQQJ2 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KQQT2 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KQQ92 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KQQ82 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KQQ72 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KQQ62 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 KQQ52 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 KQQ42 one pair 384 1.53% 1 : 64.2 58.27%
55 K3 KQQ32 one pair 384 1.53% 1 : 64.2 56.73%
56 JT QQJT2 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 QQJ92 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 QQJ82 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 QQJ72 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 QQJ62 one pair 384 1.53% 1 : 64.2 49.07%
61 J5 QQJ52 one pair 384 1.53% 1 : 64.2 47.53%
62 J4 QQJ42 one pair 384 1.53% 1 : 64.2 46.00%
63 J3 QQJ32 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 QQT92 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 QQT82 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 QQT72 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 QQT62 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 QQT52 one pair 384 1.53% 1 : 64.2 36.80%
69 T4 QQT42 one pair 384 1.53% 1 : 64.2 35.27%
70 T3 QQT32 one pair 384 1.53% 1 : 64.2 33.73%
71 98 QQ982 one pair 384 1.53% 1 : 64.2 32.20%
72 97 QQ972 one pair 384 1.53% 1 : 64.2 30.67%
73 96 QQ962 one pair 384 1.53% 1 : 64.2 29.13%
74 95 QQ952 one pair 384 1.53% 1 : 64.2 27.60%
75 94 QQ942 one pair 384 1.53% 1 : 64.2 26.07%
76 93 QQ932 one pair 384 1.53% 1 : 64.2 24.53%
77 87 QQ872 one pair 384 1.53% 1 : 64.2 23.00%
78 86 QQ862 one pair 384 1.53% 1 : 64.2 21.47%
79 85 QQ852 one pair 384 1.53% 1 : 64.2 19.93%
80 84 QQ842 one pair 384 1.53% 1 : 64.2 18.40%
81 83 QQ832 one pair 384 1.53% 1 : 64.2 16.87%
82 76 QQ762 one pair 384 1.53% 1 : 64.2 15.33%
83 75 QQ752 one pair 384 1.53% 1 : 64.2 13.80%
84 74 QQ742 one pair 384 1.53% 1 : 64.2 12.27%
85 73 QQ732 one pair 384 1.53% 1 : 64.2 10.73%
86 65 QQ652 one pair 384 1.53% 1 : 64.2 9.20%
87 64 QQ642 one pair 384 1.53% 1 : 64.2 7.67%
88 63 QQ632 one pair 384 1.53% 1 : 64.2 6.13%
89 54 QQ542 one pair 384 1.53% 1 : 64.2 4.60%
90 53 QQ532 one pair 384 1.53% 1 : 64.2 3.07%
91 43 QQ432 one pair 384 1.53% 1 : 64.2 1.53%