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Suppose that you get the opportunity to play a coin flipping game where if your first...

Suppose that you get the opportunity to play a coin flipping game where if your first flip is a “head”, then you get to flip five more times; otherwise you only get to flip two more times.

Assuming that the coin is fair and that each flip is independent, what is the expected total number of “heads”?

Math   Statistics-And-Probability   
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