Sleeping pills are often prescribed to patients who are diagnosed with depression. In the early 2000's however, some clinical studies found that the use of sleeping pills increases the likelihood of developing depression. In the population, 2 out of every 100 people suffer from depression and 1 out of every 100 use some kind of sleeping pills. If anyone is diagnosed with depression, there is a 35% chance that they are prescribed sleeping pills. What is the probability that someone who takes sleeping pills will develop depression?

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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Sleeping pills are often prescribed to patients who are diagnosed with depression. In the early 2000's however, some clinical studies found that the use of sleeping pills increases the likelihood of developing depression. In the population, 2 out of every 100 people suffer from depression and 1 out of every 100 use some kind of sleeping pills. If anyone is diagnosed with depression, there is a 35% chance that they are prescribed sleeping pills. What is the probability that someone who takes sleeping pills will develop depression?

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