Assume That 53% of All Customers Will Take Free Samples

Multiple Choice

Assume that 53% of all customers will take free samples. Furthermore, of those who take the free samples, assume that about 32% will buy what they have sampled. Suppose that you set up a counter in a supermarket offering free samples of a new product and that the day you were offering free samples, 403 customers passed by your counter. What is the probability that a customer will take a free sample and buy the product? [Hint: Use the multiplication rule for dependent events. Notice we are given the conditional probability P(buy, given sample) = 0.32, while P(sample) = 0.53.]

A) 0.320
B) 0.604
C) 0.210
D) 0.170
E) 0.530