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 but does not attend 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, the probability that an adult owns a car and does not attend church regularly is the product of the probability of owning a car (20% or 0.20) and the probability of not attending church regularly (100% - 75% = 25% or 0.25). Thus, 0.20 * 0.25 = 0.05 or 5%.

In a Small Colombian Village, 20 Percent of the Adults