In a small Colombian village, 20 percent of the adults own a car, and 75 percent of the adults attend church regularly. Suppose that car ownership is independent of church attendance.
What is the probability that a randomly selected adult from this village owns a car and attends church regularly?
A) 0.95
B) 0.55
C) 0.20
D) 0.15
E) 0.05

Question

Quizplus · Accepted Answer

Since car ownership and church attendance are independent, their probabilities can be multiplied to get the probability of both events occurring.

P(owns a car and attends church regularly) = P(owns a car) × P(attends church regularly)
= 0.2 × 0.75 = 0.15

Therefore, the probability that a randomly selected adult from this village owns a car and attends church regularly is 0.15. The answer is choice D.

In a Small Colombian Village, 20 Percent of the Adults