Question

A survey of top executives revealed that 35% of them regularly read Time magazine, and 40% read U.S. News & World Report. Ten percent read both Time and U.S. News & World Report. What is the probability that a particular top executive reads either Time or U.S. News & World Report regularly? Select one: a. 0.85 b. 0.75 c. 1 d. 0.65

Answer 1

Option D) 0.65

Explanation:

We are given the following in the question:

Percentage of executives who read Time magazine = 35%

`P(M) = 0.35`

Percentage of executives who read U.S. News & World Report = 40%

`P(N) = 0.4`

Percentage of executives who read both Time magazine and U.S. News & World Report = 10%

`P(M\cap N) = 0.1`

We have to find the probability that a particular top executive reads either Time or U.S. News & World Report regularly.

Thus, we have to evaluate,

`P(M\cup N) = P(M) + P(N) -P(M\cap N)`

Putting values, we get,

`P(M\cup N) = 0.35 + 0.4 - 0.1=0.65`

0.65 is the probability that a particular top executive reads either Time or U.S. News & World Report regularly.

Thus, the correct answer is

Option D) 0.65