In a charity lottery, 1,000 tickets numbered 000, 001,...,999 are sold. Each contestant buys only one ticket. The prize winners of the lottery are determined by drawing one number at random from the numbers 000, 001,...,999. You are a prize winner when the number on your ticket is the same as the number drawn or is a random permutation of the number drawn.  What is the probability mass function of the number of prize winners?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 48E
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In a charity lottery, 1,000 tickets numbered 000, 001,...,999 are sold. Each contestant buys only one ticket. The prize winners of the lottery are determined by drawing one number at random from the numbers 000, 001,...,999. You are a prize winner when the number on your ticket is the same as the number drawn or is a random permutation of the number drawn.  What is the probability mass function of the number of prize winners?

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