In a certain corporation, there are 300 male employees and 100 female employees.

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?

Quiz

Answer/Solution

2/5

Steps/Work

In this corporation, there are 400 total employees. There are 100 women. Of the 300 men, 20% have advanced degrees —-10% of 300 must be 30, so 20% of 300 must be 60. Add the women and the men with advanced degrees: 100 + 60 = 160. This is the OR region, full set of individuals that satisfy the condition “has an advanced degree or is female.” Of the 400 employees, what’s the probability of picking one of the 160 in this particular group?
P = 160/400 = 16/40 = 4/10 = 2/5
Answer = D

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In a certain corporation, there are male employees and female employees. It is known that % of the male employees have advanced degrees and % of the females have advanced degrees. If one of the employees is chosen at random, what is the probability this employee has an advanced degree or is female?

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