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In: Statistics and Probability

On September​ 11, 2002, a particular state​ lottery's daily number came up 9 - 1 -...

On September​ 11, 2002, a particular state​ lottery's daily number came up 9 - 1 - 1. Assume that no more than one digit is used to represent the first nine months.

​a) What is the probability that the winning three numbers match the date on any given​ day?​

b) What is the probability that a whole year passes without this​ happening? ​

c) What is the probability that the date and winning lottery number match at least once during any​ year? ​

d) If 27 states have a​ three-digit lottery, what is the probability that at least one of them will come up 3 - 1 - 0 on March 10​?

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