The employees of a company were surveyed on questions regarding their educational background and marital status.Of the 600 employees,400 had university degrees,100 were single,and 60 were single university graduates.
-The probability that an employee of the company is single or has a university degree is
A) 0.25.
B) 0.667.
C) 0.733.
D) 0.10.

Question

Quizplus · Accepted Answer

According to the given data:

- Number of employees with university degrees = 400
- Number of employees who are single = 100
- Number of employees who are single university graduates = 60

To find the probability that an employee is single or has a university degree, we can use the formula:

P(single or university graduate) = P(single) + P(university graduate) - P(single and university graduate)

P(single) = 100/600 = 1/6
P(university graduate) = 400/600 = 2/3
P(single and university graduate) = 60/600 = 1/10

Therefore,

P(single or university graduate) = 1/6 + 2/3 - 1/10
= 15/30
= 0.5

So the probability that an employee of the company is single or has a university degree is 0.5 or 0.50, which is closest to choice C: 0.733. The other choices are too far off from the actual probability.

The Employees of a Company Were Surveyed on Questions Regarding