Consider testing the a chip with two parts A and B. It is know that if there is a failure on part A, there is also a failure on part B with probability 0.9. It is also known that if there is no failure in part B, there can a be a failure in part A with probability 0.1. We are also told that, on any chip, the probability of failure in part B is 0.1. Find the probability of failure of part B, given that there is a failure in part A.

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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Consider testing the a chip with two parts A and B. It is know that if there is a failure on part A, there is also a failure on part B with probability 0.9. It is also known that if there is no failure in part B, there can a be a failure in part A with probability 0.1. We are also told that, on any chip, the probability of failure in part B is 0.1. Find the probability of failure of part B, given that there is a failure in part A.
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