Rework problem 11 from section 3.4 of your text, involving the flipping of either a fair or weighted coin. Assume that the weighted coin yields a heads with probability 0.2. You select one of the two coins at random, and flip it 2 times, noting heads or tails with each flip. What is the probability that the weighted coin was selected, given that all 2 flips turned up heads?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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Rework problem 11 from section 3.4 of your text, involving the flipping of either a fair or weighted coin. Assume that the weighted coin yields a heads with probability 0.2. You select one of the two coins at random, and flip it 2 times, noting heads or tails with each flip.

What is the probability that the weighted coin was selected, given that all 2 flips turned up heads? 

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