Assume that you have bought a ticket for a lottery, and that your brother has bought three tickets. This lottery has two prizes, and only 1 000 tickets have been sold.
a) Given that you do not win first prize, what is the probability that you will win second prize? (The first-prize-winning ticket is not put back into the draw.)
b) What is the probability that you will win first prize and second prize?
c) What is the probability that you will win first prize and that your brother will win second prize?
d) What is the probability that, between the two of you, you will win first and second prizes?
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