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 single or has a college degree is:
A)0.10
B)0.25
C)0.667
D)0.733

Question

Quizplus · Accepted Answer

To find the probability that an employee is single or has a college degree, we use the formula for the probability of the union of two events: P(A or B) = P(A) + P(B) - P(A and B). Here, A is the event of being single, and B is the event of having a college degree. P(A) = 100/600 = 1/6, P(B) = 400/600 = 2/3, and P(A and B) = 60/600 = 1/10. Therefore, P(A or B) = 1/6 + 2/3 - 1/10 = 10/60 + 40/60 - 6/60 = 44/60 = 0.733.

The Employees of a Company Were Surveyed on Questions Regarding