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10. Suppose the rule for lottery is the following: Each lottery ticket is $1, on which a buyer chooses 6 numbers from {1, 2, 3,
10. Suppose the rule for lottery is the following: Each lottery ticket is $1, on which a buyer chooses 6 numbers from {1, 2, 3, ..., 50} with repetitions allowed to form an ordered list of 6 numbers. If a ticket's 6 numbers match the six winning numbers in the right order, the buyer wins exactly $10 million, otherwise the buyer wins nothing. Suppose that when a buyer chooses the 6 numbers for a ticket, each number from {1, 2, 3, ..., 50} is equally likely to be chosen. Under this rule, what is the expected value of the amount of money a ticket buver can win? 10. Suppose the rule for lottery is the following: Each lottery ticket is $1, on which a buyer chooses 6 numbers from {1, 2, 3, ..., 50} with repetitions allowed to form an ordered list of 6 numbers. If a ticket's 6 numbers match the six winning numbers in the right order, the buyer wins exactly $10 million, otherwise the buyer wins nothing. Suppose that when a buyer chooses the 6 numbers for a ticket, each number from {1, 2, 3, ..., 50} is equally likely to be chosen. Under this rule, what is the expected value of the amount of money a ticket buver can win
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