At a party, the hosts are giving out door prizes. Each guest receives a numbered ticket and a random drawing will be held for the prizes. There are 14 prizes and 22 guests. a. What is the probability that any guest will win the first prize given out?
b. What is the probability of winning the last prize if multiple winning is not allowed?
c. What is the probability that one guest could win 2 door prizes if multiple winning is allowed?
d. Should the hosts replace the winning guests’ tickets before each prize drawing? Explain.