T18  You will take either a basket-weaving course or a philosophy course, depending on what your advisor decides. You estimate that the probability of getting an A in basket weaving is 0.85, while in philosophy it is 0.70. However, the chances of your advisor choosing the basket-weaving course is only 20%, while there is an 80%chance that he will put you in the philosophy course. What is the probability that you end up with an A? (Enter your answer to three decimal places.)

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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T18 

You will take either a basket-weaving course or a philosophy course, depending on what your advisor decides. You estimate that the probability of getting an A in basket weaving is 0.85, while in philosophy it is 0.70. However, the chances of your advisor choosing the basket-weaving course is only 20%, while there is an 80%chance that he will put you in the philosophy course. What is the probability that you end up with an A? (Enter your answer to three decimal places.)

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