oximation for the probability that the same number will be chosen times in the upcoming 625 drawings. Before making the calculat rariant of the birthday problem, can you say why this probability ca gibly small?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In the Massachusetts Numbers Game, one number is drawn each day from the
10,000 four-digit number sequence 0000, 0001,..., 9999. Calculate a Poisson
approximation for the probability that the same number will be chosen two or
more times in the upcoming 625 drawings. Before making the calculations in
this variant of the birthday problem, can you say why this probability cannot be
negligibly small?
Transcribed Image Text:In the Massachusetts Numbers Game, one number is drawn each day from the 10,000 four-digit number sequence 0000, 0001,..., 9999. Calculate a Poisson approximation for the probability that the same number will be chosen two or more times in the upcoming 625 drawings. Before making the calculations in this variant of the birthday problem, can you say why this probability cannot be negligibly small?
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