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If a doctor observes a positive test, what is the probability that a patient has the cancer??

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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Question

4. Suppose 1% of the people in California have a certain type of cancer. The state is
considering testing everyone in the state for the cancer. A person with the cancer
has a 95% chance of testing positive. A person without the cancer has a 10%
chance of testing positive. If a doctor observes a positive test, what is the
probability that a patient has the cancer??

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