A fast-food chain randomly attaches coupons for prizes to the packages used to serve french fries. Most of the coupons say “Play again,” but a few are winners. Seventy-five percent of the coupons pay nothing, with the rest evenly divided between “Win a free order of fries” and “Win a free sundae.”
(a) If each member of a family of three orders fries with her or his meal, what is the probability that someone in the family is a winner?
(b) What is the probability that one member of the family gets a free order of fries and another gets the sundae? The third wins nothing.
(c) The fries normally cost $1 and the sundae $2. What are the chances of the family winning $5 or more in prizes?