In an organization, X has been assigned to collect all the accounting departments files from the file room. When he went to take the files, he saw that there is no department name on the files. Instead, the files were labelled as Government, International and Private Client. However, there are three departments (accounting, marketing and management) in that room. From the files, 30% from the accounting department and 50% from management. Now, he also knows that 34% accounting files, 16% marketing files and 25% management files are governmental. a. Therefore, he picks a governmental file, what is the probability that it belongs to the accounting department? b. Therefore, he picks a governmental file, what is the probability that it belongs to marketing department.

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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In an organization, X has been assigned to collect all the accounting departments files from the file room. When he went to take the files, he saw that there is no department name on the files. Instead, the files were labelled as Government, International and Private Client. However, there are three departments (accounting, marketing and management) in that room. From the files, 30% from the accounting department and 50% from management. Now, he also knows that 34% accounting files, 16% marketing files and 25% management files are governmental.

a. Therefore, he picks a governmental file, what is the probability that it belongs to the accounting department?
b. Therefore, he picks a governmental file, what is the probability that it belongs to marketing department.
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