McDonald's Monopoly game is a popular contest the restaurant chain has offered for several years. The chances of winning a food prize are approximately 1 in 4. Here were the chances in 2011 for collecting the less common game pieces, each of which netted a nonfood prize. All values listed are approximate according to McDonald's. Mediterranean Avenue ($50 prize. 10,000 prizes)-1 in 61,811 Vermont Avenue ($100 prize, 3,000 prizes)-1 in approx. 206,036 Virginia Avenue ($200 Spa Wish Gift Certificate, 250 prizes)-1 in 2,472,425 Tennessee Avenue (Beaches Resort Vacation, 300 prizes)-1 in 2,060,354 Kentucky Avenue (S50,000,8 prizes)-1 in 77.263,275 Short Line Railroad (EA Sports Fan Trip. 8 prizes) --1 in 77.263,275 Ventnor Avenue ($100,000, 6 prizes)-1 in 103,017,700 Pennsylvania Avenue (SL. MY 12 Nissan Leaf, 2 prizes)-1 in 309,053,100 Boardwalk ($1,000,000, 1 prize)-1 in 618,106,200 a. What percent of the time would a player expect to win a food prize? What percent of the time would a player expect to not win a food prize?
b. Relatively speaking, were the chances of winning a food prize high?
c. If a player collected 12 game pieces, how many food prizes should he or she have expected to win? Would the player necessarily have won that many?
d. If a player collected 12 game pieces and won one food prize, what percent of the time did he or she win a food prize? How does that result compare to the answer in part a?