A typical box of 50 transistors contains only one defective one. It is realized that among the last 32 boxes, one box has 5 defective transistors. An inspector picks a box at random, inspects two transistors from this box on a machine and discovers that one of them is defective and one is not. What is the probability that this box is the bad one? (Round your answer to four decimal places.)

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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A typical box of 50 transistors contains only one defective one. It is realized that among the last 32 boxes, one box has 5 defective transistors. An inspector picks a box at random, inspects two transistors from this box on a machine and discovers that one of them is defective and one is not. What is the probability that this box is the bad one? (Round your answer to four decimal places.)

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