There are 2 boxes containing 2 sets of colored balls. The first box contains 5 red balls and 3 blue balls, while the second box contains 6 blue balls and 4 red balls. If a ball is drawn at random and found to be red, what is the probability that it was drawn from the second box?

There are 2 boxes containing 2 sets of colored balls. The first box contains 5 red balls and 3 blue balls, while the second box contains 6 blue balls and 4 red balls. If a ball is drawn at random and found to be red, what is the probability that it was drawn from the second box?

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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Question

A production company has 3 sites A, B, and C, with a production capacity of 50%, 30%, and 20% respectively. 6% of total production from site A is found to be defective, 4% of total production from site B is defective, and 1.5% of total production from site C is defective. An item selected at random is found to be defective. Find the probability that the item was produced at site B.

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