17. Michigan's Classic Lotto 47 In Michigan's Classic Lotto 47 NW Lottery, a player must choose 6 numbers between 1 and 47, in- clusive. Six balls numbered from 1 and 47 are then randomly selected from an urn. The random variable X represents the number of matching numbers. (a) What is the probability of matching 3 numbers? (b) What is the probability of matching 4 numbers? (c) What is the probability of matching 5 numbers? (d) What is the probability of matching 6 numbers? (e) A winning ticket is one in which the player matches 3,4, 5, or 6 numbers. What is the probability of purchasing a winning ticket? Would it be unusual to purchase a win- ning ticket?

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