The student misplaced his notebook; however, he remembers that the notebook is in one of the "n' lockers. The probability that the notebook is in the jth locker is a¡, j=1,2,3,..., n. If he searches the jth locker and that the notebook is there, the probability that he will find it is given by Bj. Find the probability that the notebook is in the jth locker, given that the student has already checked the jth locker but has failed to find it. Hint: A proper event composition may be needed in answering the problem

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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Hint: Use conditional probability or bayes theorem

The student misplaced his notebook; however, he remembers that the notebook is in one of the "n"
lockers. The probability that the notebook is in the jth locker is aj, j=1,2,3,.., n. If he searches the jth
locker and that the notebook is there, the probability that he will find it is given by Bj. Find the
probability that the notebook is in the jth locker, given that the student has already checked the jth
locker but has failed to find it. Hint: A proper event composition may be needed in answering the
problem
Transcribed Image Text:The student misplaced his notebook; however, he remembers that the notebook is in one of the "n" lockers. The probability that the notebook is in the jth locker is aj, j=1,2,3,.., n. If he searches the jth locker and that the notebook is there, the probability that he will find it is given by Bj. Find the probability that the notebook is in the jth locker, given that the student has already checked the jth locker but has failed to find it. Hint: A proper event composition may be needed in answering the problem
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