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George Buys Six Lottery Tickets for $2 Each

Question 122

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George buys six lottery tickets for $2 each.In addition to the grand prize,there is a 20% chance that each lottery ticket gives a prize of $4.Assume that these tickets are not grand prize winners.
a.What is the probability that the tickets pay out more than George spent on them?
b.What is the probability that none of the tickets are winners?
c.What is the probability that at least one of the tickets is a winner?

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