Suppose you have 3 jars with the following contents. Jar 1 has 1 white ball and 2 black balls. Jar 2 has 4 white balls and 1 black ball. Jar 3 has 4 white balls and 1 black ball. One jar is to be selected, and then 1 ball is to be drawn from the selected jar. The probabilities of selecting the first, second, and third jars are 1/3, 1/2, and 1/6 respectively. Find the probability the ball was drawn from Jar 2, given that the ball is white.

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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Suppose you have 3 jars with the following contents. Jar 1 has 1 white ball and 2 black balls. Jar 2 has 4 white balls and 1 black ball. Jar 3 has 4 white balls and 1 black ball. One jar is to be selected, and then 1 ball is to be drawn from the selected jar. The probabilities of selecting the first, second, and third jars are 1/3, 1/2, and 1/6 respectively. Find the probability the ball was drawn from Jar 2, given that the ball is white. 

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