There are m distinct balls in a bag. We pick one ball uniformly at random at a time, we place the ball back after recording it. We will stop the picking if and only if each ball has been recorded at least once, find the expectation of the number of picks?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 35E
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There are m distinct balls in a bag. We pick one ball uniformly at random at a time, we place the ball back after recording it. We will stop the picking if and only if each ball has been recorded at least once, find the expectation of the number of picks?
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