Marie and Sally make painted mugs for a shop. Marie's cups are 59% with no flaws, 30% with one flaw and 11% with 2 flaws. Sally is less careful and her cups are 30% with no flaws, 52% with one flaw and 18% with 2 flaws. However, 70% of the cups in the shop were made by Sally and only 30% by Marie. If we select a cup randomly and find that it has no flaws, what is the probability that Sally made it?

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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Marie and Sally make painted mugs for a shop. Marie's cups are 59% with no flaws, 30% with one flaw and 11% with 2 flaws. Sally is less careful and her cups are 30% with no flaws, 52% with one flaw and 18% with 2 flaws. However, 70% of the cups in the shop were made by Sally and only 30% by Marie. If we select a cup randomly and find that it has no flaws, what is the probability that Sally made it?
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