Suppose that we want to distribute 5 numbered balls over three boxes I, Il and II. Each ball is put in a random box, independently of the other balls. Describe an appropriate sample space and

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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Suppose that we want to distribute 5
numbered balls over three boxes I, Il and III.
Each ball is put in a random box,
independently of the other balls. Describe
an appropriate sample space and
probability measure for this experiment.
Compute the probability that:
(a) box I remains empty;
(b) at most one box remains empty;
(c) box I and II remain empty.
Transcribed Image Text:Suppose that we want to distribute 5 numbered balls over three boxes I, Il and III. Each ball is put in a random box, independently of the other balls. Describe an appropriate sample space and probability measure for this experiment. Compute the probability that: (a) box I remains empty; (b) at most one box remains empty; (c) box I and II remain empty.
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