Question

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.

Answer 1

Answer: D) 0.733.

Explanation:

Let C denotes the number of employees having college degree and S denote the number of employees are single.

We are given ,

Total = 600 , n(C)=400 , n(S)=100 , n(C∩S)=60

Then,

`n(C\cup S)=n(C)+n(S)-n(C\cap S)\\\\=400+100-60=440`

Now, the probability that an employee of the company is single or has a college degree is

`P(C\cup S)=\frac{n(C\cup S)}{\text{Total}}\\\\=(440)/(600)=0.733333333\approx0.733`

Hence, the probability that an employee of the company is single or has a college degree is 0.733