Question: In the Mega Millions lottery game, a player picks five lucky numbers, in the range from 1 to 56, and one additional Mega number, in

In the Mega Millions lottery game, a player picks five lucky numbers, in the range from 1 to 56, and one additional Mega number, in the range from 1 to 46. In order to win the jackpot, a player must match all six numbers. If there is no jackpot winner for a given drawing, then the jackpot is rolled into the next drawing. Suppose that every time a lottery ticket is sold it is chosen as an independent random pick of five lucky numbers and a Mega number. What is the expected number of Mega Millions lottery tickets that must be sold for a given drawing to guarantee with 100% certainty that there is a winner?

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