Solution: 2018 Winter Midterm - 5
Author: Michiel SmidQuestion
In a group of 100 people,
- 60 do not like Donald Trump and do not like Kim Jong Un, and
- 25 like Kim Jong Un.
(a)
10
(b)
15
(c)
25
(d)
20
Solution
A = Like Donald Trump
B = Like Kim Jong Un
$ |\overline{A \cap B}| = 60 $
$ |B| = 25 $
$ |A \cap B| = |S| - |\overline{A \cap B}| - |B| $
$ |A \cap B| = 100 - 60 - 25 $
$ |A \cap B| = 15 $