Solve the problem.
-A survey revealed that 47% of people are entertained by reading books, 27% by watching TV, and 14% are entertained by both books and TV. What is the probability that a person will be entertained by books given that the person is entertained by TV? Round to the nearest thousandth.
A)0.27
B)0.519
C)0.298
D)0.47

Question

Quizplus · Accepted Answer

The probability that a person will be entertained by books given that the person is entertained by TV is found using the formula for conditional probability: P(A|B) = P(A and B) / P(B). Here, A is the event of being entertained by books, and B is the event of being entertained by TV. P(A and B) is 14%, and P(B) is 27%. So, P(A|B) = 0.14 / 0.27 = 0.5185, which rounds to 0.519.

Solve the Problem. -A Survey Revealed That 47% of People Are Entertained by Are