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Problem 8. Here is the rule of "stat lottery": Every lottery ticket consists of three numbers chosen from 1 to 30. At the end of the semester, three winning numbers will be randomly selected from 1 to 30. If all three numbers on a ticket are winning numbers, the ticket wins 10,000. If exactly two of the three numbers on a ticket are winning numbers (meaning the third number is not a winning number), the ticket wins100. Find the expected payoff (per ticket) for this lottery.

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$70 million lottery ticket sold in Ontario | insauga