One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is withdrawn from the chosen urn. Urn 1 contains 1 white and 6 red balls, and urn 2 has 5 white and 2 red balls. If a white ball is drawn, what is the probability that it came from urn 2?

One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is withdrawn from the chosen urn. Urn 1 contains 1 white and 6 red balls, and urn 2 has 5 white and 2 red balls. If a white ball is drawn, what is the probability that it came from urn 2?

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

One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is withdrawn from the chosen urn. Urn 1 contains

white and

red balls, and urn 2 has

white and

red

balls.

If a white ball is drawn, what is the probability that it came from urn 2?

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