The employees of a company were surveyed on questions regarding their educational background and marital status. Of the 600 employees, 400 had college degrees, 100 were single, and 60 were single college graduates. What is the probability that an employee of the company is married and has a college degree?
A) 500/600
B) 340/600
C) 400/600
D) 40/600

Question

Quizplus · Accepted Answer

We need to use the formula: P(A and B) = P(A) * P(B|A), where A and B are events. In this case, event A is having a college degree and event B is being married.

We are given P(A) = 400/600 = 2/3 and P(B|A) = number of married college graduates/number of college graduates = 60/400 = 3/20.

So, P(A and B) = P(A) * P(B|A) = (2/3) * (3/20) = 1/10 = 0.1.

Therefore, the probability that an employee of the company is married and has a college degree is 0.1 or 340/600.

The Employees of a Company Were Surveyed on Questions Regarding