Question

In a certain corporation, there are 300 male employees and 100 female employees. It is known that 20% of the male employees have advanced degrees and 40% of the females have advanced degrees. If one of the 400 employees is chosen at random, what is the probability this employee has an advanced degree or is female?A. 1/20B. 1/10C. 1/5D. 2/5E. 3/4

Answer 1

A. 1/2

Explanation:

P(AD or F) = probability of a person having an advanced degree + probability

of a person being female

= (20% of 300 + 40% of 100)/400 + 100/400

= (60+40)/400 + 100/400

= 1/2