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47. In the Mega Millions lottery, for $1 a player picks 5 distinct numbers from balls numbered 1 to 75 and a 6th Mega Ball

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47. In the Mega Millions lottery, for $1 a player picks 5 distinct numbers from balls numbered 1 to 75 and a 6th Mega Ball number from 1 to 15. A player wins at least $1 by correctly matching the Mega Ball or at least 3 of the 6 balls. (a) What is the probability of winning at least $1? (b) What is the probability of winning exactly $1? This happens when a player correctly matches only the Mega Ball

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