You’re about to get on a plane to Turkey. You want to know if it’s raining. You call (3) random friends who live there and ask each if it’s raining. Each friend has a (2/3) chance of telling you the truth and a (1/3) chance of messing with you by lying. All (3) friends tell you that “Yes” it is raining. Draw the tree samples and compute the probability that it’s actually raining in Turkey?

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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You’re about to get on a plane to Turkey. You want to know if it’s raining. You call (3) random friends who live there and ask each if it’s raining. Each friend has a (2/3) chance of telling you the truth and a (1/3) chance of messing with you by lying. All (3) friends tell you that “Yes” it is raining. Draw the tree samples and compute the probability that it’s actually raining in Turkey?
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