Many candy manufacturers who use artificial chocolate claim that their customers cannot tell it from real chocolate. Suppose 5 customers are selected at random and each is allowed to taste a candy bar made with real chocolate and the same kind of bar made with artificial chocolate. They are not told which contains real chocolate, and they are asked which one it is.
a. If the manufacturer is correct about their inability to tell real from artificial chocolate, find the probability that a taster will correctly choose the one that is the real chocolate.
b. What is the probability that all 5 tasters will choose correctly?