Work this problem involving the expected number of heads when flipping one of two coins. One coin is fair and one is weighted so that the Pr[heads]=1/9. You randomly select one of the two coins, and flip it 5 times, noting the result of each flip. What is the expected number of heads?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Work this problem involving the expected number of heads when flipping one of two coins. One coin is fair and one is weighted so that the Pr[heads]=1/9. You randomly select one of the two coins, and flip it 5 times, noting the result of each flip.

What is the expected number of heads? 

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