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

Question

Quizplus · Accepted Answer

The probability that a customer will take a free sample and buy the product is found by multiplying the probability of taking a sample (0.53) by the conditional probability of buying given that they took a sample (0.32). So, 0.53 * 0.32 = 0.1696, which rounds to 0.170.

Assume That 53% of All Customers Will Take Free Samples