Imagine you have three coins: one is fair, one is biased (twice as likely to be heads as tails), the third is also biased (twice as likely to be tails as heads). You pick one of the three coins at random, and flip it 20 times. How should you decide which coin you are holding, based on the results, to maximize your probability of being correct?

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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Imagine you have three coins: one is fair, one is biased (twice as likely to be heads as tails), the

third is also biased (twice as likely to be tails as heads). You pick one of the three coins at random, and

flip it 20 times. How should you decide which coin you are holding, based on the results, to maximize your

probability of being correct?

 

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