Suppose there are two full bowls of cookies. Bowl #1 has 20 chocolate chip and 10 oatmeal, while bowl #2 has 10 chocolate chip cookies and 20 oatmeal cookies. Our friend Bob picks a bowl at random, and then picks a cookie at random. We : may assume there is no reason to believe Bob treats one bowl differently from another, likewise for the cookies. The cookie turns out to be an oatmeal cookie. How probable is it that Bob picked it out of Bowl #1?

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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9. Suppose there are two full bowls of cookies. Bowl #1 has 20 chocolate chip and 10 oatmeal, while bowl #2 has 10 chocolate chip cookies and 20 oatmeal cookies. Our friend Bob picks a bowl at random, and then picks a cookie at random. We may assume there is no reason to believe Bob treats one bowl differently from another, likewise for the cookies. The cookie turns out to be an oatmeal cookie. How probable is it that Bob picked it out of Bowl #1?
Transcribed Image Text:9. Suppose there are two full bowls of cookies. Bowl #1 has 20 chocolate chip and 10 oatmeal, while bowl #2 has 10 chocolate chip cookies and 20 oatmeal cookies. Our friend Bob picks a bowl at random, and then picks a cookie at random. We may assume there is no reason to believe Bob treats one bowl differently from another, likewise for the cookies. The cookie turns out to be an oatmeal cookie. How probable is it that Bob picked it out of Bowl #1?
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