This problem continues the lottery of Problem 3.7.10 in which each ticket has 6 randomly marked numbers

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This problem continues the lottery of Problem 3.7.10 in which each ticket has 6 randomly marked numbers out of 1, . . ., 46.

A ticket is a winner if the six marked numbers match 6 numbers drawn at random at the end of a week. Suppose that following a week in which the pot carried over waws r dollars, the number of tikets sold in that week, K, is the poisson (r) random variable.

What is the PMF of the number of winning tickets?

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