4.134 Pepsi or Coke? A taste-testing experiment is conducted at a local supermarket, where passing shoppers are asked to taste two soft-drink samples- one Pepsi and one Coke and state their preference. Suppose that four shoppers are chosen at random and asked to participate in the experiment, and that there is actually no difference in the taste of the two brands.

a. What is the probability that all four shoppers choose Pepsi?

b. What is the probability that exactly one of the four shoppers chooses Pepsi?