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

Question

Socks

Mathematics

12 January, 20:33

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

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Frankie Whitehead · Answer 1

A. 1/2

Step-by-step 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