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Artyom0805 [142]
3 years ago
6

The employees of a company were surveyed on questions regarding their educational background (college degree or no college degre

e) 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.
Mathematics
1 answer:
taurus [48]3 years ago
8 0

Answer: D) 0.733.

Step-by-step 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)=\dfrac{n(C\cup S)}{\text{Total}}\\\\=\dfrac{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

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