Five hundred tickets, marked 1 through 500, are sold at Purdue for a bike raffle. You have tickets 17, 93, and 202. Your friend has tickets 4, 101, 102, and 398. One of the tickets will be chosen at random, and the owner of the winning ticket gets the bike. Give the sample space for this this situation, and indicate how each of the following events can be represented as a subset of the sample space:


a. one of your tickets is the winne

b. neither you nor your friend win the bike

c. the number on the winning ticket is just 2 away from the number on one of your tickets.