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An urn contains 9 $1 bills and one $50 bill. Let the random variable X be the total amount that results when two bills are

An urn contains 9 $1 bills and one $50 bill. Let the random variable X be the total amount that results when two bills are drawn from the urn without replacement.

(a) Describe the underlying space S of this random experiment and specify the probabilities of its elementary events.

(b) Show the mapping from S to S X , the range of X.

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