There are four boxes. Each contains 2 balls. The first box has a red and a white ball in it. The remaining three boxes each have two white balls in them. A ball is picked at random from box 1 and put in box 2. Then a ball is picked at random from box 2 and put into box 3. Then a ball is picked at random from box 3 and put into box 4. Finally, a ball is picked from box 4. Find the probability that the ball picked from box 2 is red, given that the final ball picked from box 4 is white.

There are four boxes. Each contains 2 balls. The first box has a red and a white ball in it. The remaining three boxes each have two white balls in them. A ball is picked at random from box 1 and put in box 2. Then a ball is picked at random from box 2 and put into box 3. Then a ball is picked at random from box 3 and put into box 4. Finally, a ball is picked from box 4. Find the probability that the ball picked from box 2 is red, given that the final ball picked from box 4 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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Question

There are four boxes. Each contains 2 balls. The first box has a red and a white ball in it. The remaining three boxes each have two white balls in them.

A ball is picked at random from box 1 and put in box 2.
Then a ball is picked at random from box 2 and put into box 3.
Then a ball is picked at random from box 3 and put into box 4.
Finally, a ball is picked from box 4.

Find the probability that the ball picked from box 2 is red, given that the final ball picked from box 4 is white.

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