1% of all products in a factory are defective. During quality control, a test is applied that detects a defective product with a probability of 0.99, and in 1% of cases it incorrectly rejects a correct product. Find the probability that the product that is rejected is actually correct, as well as the probability that the product that is accepted in the test as correct is in fact defective.

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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1% of all products in a factory are defective. During quality control, a test is applied that detects a defective product with a probability of 0.99, and in 1% of cases it incorrectly rejects a correct product. Find the probability that the product that is rejected is actually correct, as well as the probability that the product that is accepted in the test as correct is in fact defective. 

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