Question: A candy machine in a school has d different kinds of candy. Assume (for simplicity) that all these kinds of candy are equally popular and there is a large supply of each. Suppose that c children come to the machine and each purchases one package of candy. One of the kinds of candy is a Snackers bar. What is the probability that any given child purchases a Snackers bar? Let Yi be the number of Snackers bars that child i purchases, so that Yi is either 0 or 1. What is the expected value of Yi? Let Y be the random variable Y1 + Y2 + ··· + Yc. What is the expected value of Y? What is the expected number of Snackers bars that is purchased? Does the same result apply to any of the varieties of candy?