Question

A survey revealed that 31% of people are entertained by reading books, 37% are entertained bywatching TV, and 15% are entertained by both books and TV. What is the probability that a personwill be entertained by either books or TV? Express the answer as a percentage

Answer 1

53%

Explanation:

People are entertained by reading books = P(a) = 31%

People are entertained by watching TV = P(b) = 37%

People are entertained by both books and TV P(a∩b) = 15%

Probability (either books or TV) = P(a) + P(b) - (a∩b)

= 0.31 + 0.37- 0.15

= 0.68 - 0.15

= 0.53 = 53%

Probability that a person will be entertained by either books or TV is 53%.