At an investment bank, 75% of the clients have at least $1 million dollars in their account. Furthermore, suppose that 60% of the clients have personally managed accounts. Finally, suppose that 70% of the accounts with at least $1 million are personally managed. What is the probability that a randomly chosen client has more than $1 million and is not personally managed? (please round your answer to 4 decimal places)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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At an investment bank, 75% of the clients have at least $1 million dollars in their account. Furthermore, suppose that 60% of the clients have personally managed accounts. Finally, suppose that 70% of the accounts with at least $1 million are personally managed. What is the probability that a randomly chosen client has more than $1 million and is not personally managed? (please round your answer to 4 decimal places)

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