The inhabitants of an island tell the truth one third of thetime. They lie with probability 2/3.On an occasion, after one of them made a statement, you ask another'was that statement true?' and he says 'yes'.What is the probability that the statement was indeed true?

Let A be the event that the statement was true and B be the event that the second person said "yes".…

Answered: The inhabitants of an island tell the…

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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The inhabitants of an island tell the truth one third of the time. They lie with probability 2/3. On an occasion, after one of them made a statement, you ask another 'was that statement true?' and he says 'yes'. What is the probability that the statement was indeed true?