Question

In a group of 60 persons, 35 like coffee. Out of this group, if one person is chosen at random, what is the probability that he or she does not like coffee?
(a) $\frac{7}{12}$

(b) $\frac{5}{12}$

(c) $\frac{5}{7}$

(d) $\frac{3}{12}$

Answer 1

(b) $\frac{5}{12}$

Explanation:
Total number of persons = 60
Number of persons who like coffee = 35

Number of persons who does not like coffee = 60 − 35 = 25

Let E be the event that the selected person does not like coffee.Then,
P(selected person does not like coffee) = P(E) = $\frac{25}{60}=\frac{5}{12}$Number of ladies who like coffeeTotal number of ladies = 142200 = 0.71