The employees of a company were surveyed on questions regarding their educational background (college degree or no college degree) and marital status (single or married). Of the 600 employees, 400 had college degrees, 100 were single, and 60 were single college graduates. The probability that an employee of the company is married and has a college degree is:
A) 40/600
B) 340/600
C) 400/600
D) 500/600

Question

Quizplus · Accepted Answer

We need to find the probability that an employee is married and has a college degree which can be found using the formula:
P(married and college graduate) = P(married) * P(college graduate | married)
We are given P(married) = 500/600 (since there are 600 employees and 100 are single)
We are also given P(college graduate | single) = (number of single college graduates)/(number of singles) = 60/100 = 0.6
Therefore, P(college graduate | married) = (number of married college graduates)/(number of married) = (400-60)/(600-100) = 340/500 = 0.68
Plugging in the given values in the formula, we get:
P(married and college graduate) = (500/600) * (0.68) = 0.5667 ≈ 0.57
Therefore, the answer is B.

The Employees of a Company Were Surveyed on Questions Regarding