Suppose that the horses are evenly matched so that all

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Suppose you and a friend are betting on a horse race involving four horses. You can win money in one of the following ways:

If horse 3 ?nishes in front of horse 2, you receive $5.

If neither horse 4 nor horse 2 ?nishes last, you receive $5.

Your friend can win money in one of the following ways:

If the winning horse is either horse 1 or horse 3, your friend receives $4.

If horse 1 is second or third, your friend receives $3.

Suppose that the horses are evenly matched, so that all possible finishing orders are equally likely. Let X represent your winnings, and let Y represent your friend's winnings.

(a) Give the joint PMF for X and Y (you may give it in table format).

(b) What is the probability that you win more money than your friend?

Reference no: EM13630538

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