Question

A magazine conducted a survey among its readers in a certain state. They reported the following results:
Out of 1200 respondents, 312 are professionals, 470 are married, 524 are college graduates, 193 are professional college graduates, 178 are married college graduates, 136 are married professionals, and 35 are married professional college graduates.
What is the probability that a randomly selected reader in that state is:

a. Either married, or a college graduate, or a professional?
b. Neither married, nor a college graduate, nor a professional?

Answer 1

Answer:

The answer is "0.695 and 0.305".

Step-by-step explanation:

Please find the attached file of the given question:

From question a:

$\text{P(Either married, or a college graduate, or a professional)} \\\\=\frac{(312+143+188+191)}{1200}\\ \\ =\frac{834}{1200}\\\\=0.695$

 From question b:

$\text{P( Neither married, nor a college graduate, nor a professional )}\\\\=\frac{366}{1200} \\\\=0.305$