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 does not have a college degree is:
A)0.10
B)0.33
C)0.67
D)0.75

Question

Quizplus · Accepted Answer

Let's denote the event of an employee having a college degree by C, and the event of an employee being single by S. We are given the following information:

P(C) = 400/600 = 2/3 (since 400 out of 600 employees have college degrees)
P(S) = 100/600 = 1/6 (since 100 out of 600 employees are single)
P(S ∩ C) = 60/600 = 1/10 (since 60 out of 600 employees are both single and college graduates)

We can use this information to calculate the probability of an employee not having a college degree:

P(not C) = 1 - P(C) = 1 - 2/3 = 1/3

Therefore, the answer is choice B, with a probability of 0.33.

The Employees of a Company Were Surveyed on Questions Regarding