Suppose a box contains 1 green ball and 1 red ball, and a second box contains2 green and 3 red balls. First a box is chosen and afterwards a ball withdrawn from thechosen box. Both boxes are equally likely to be chosen. Given that a green ball has beenwithdrawn, what is the probability that the first box was chosen?

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...
icon
Related questions
Question

Suppose a box contains 1 green ball and 1 red ball, and a second box contains
2 green and 3 red balls. First a box is chosen and afterwards a ball withdrawn from the
chosen box. Both boxes are equally likely to be chosen. Given that a green ball has been
withdrawn, what is the probability that the first box was chosen? 

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON