Prom is almost here. The after-prom committee is working hard trying to set up some new and creative activities for people to participate in. One of the new activities is a raffle. Louisville Cyclery has donated 2 bicycles to be raffled off and WalMart has donated 2 T.V.'s. To increase the odds of winning a prize, you decide to buy 10 raffle tickets. The day of prom you find out that exactly 876 tickets have been sold.
a) What is the probability that you will win no prize?
b) What is the probability that you will win one prize?
c) What is the probability that you will win two prizes?
d) What is the probability that you will win three prizes?
e) What is the probability that you will win all four prizes?
f) What is the sum of the probabilities in a-e? What is the meaning of this sum?