Marketing and Consumer Behavior The Sweet Leaf Iced Teas Company is sponsoring a conventional bottlecap sweepstakes game. Under each bottle cap there is a note saying either "You are not a winner," or the prize awarded. Suppose there are 20 of the game bottles on a shelf in the supermarket, and two of them are winners. A customer randomly selects six bottles from the shelf.
a. What is the probability of selecting no winning bottles?
b. What is the probability of selecting both winning bottles?
c. What is the mean number of winning bottles selected?
d. How many bottles would the customer have to purchase in order to expect one winning bottle?