The Dollar Per Tails game costs $1 to play and consists of flipping a coin, over and over gain, until Heads is flipped. Once you pay, the host running the game starts flipping a coin. You win $1 for every Tails that the host flips, but if Heads is flipped at any time the game ends. Calculate the expected value of this game.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 9CC: a Suppose that a game gives payouts a1,a2,...,an with probabilities p1,p2,...pn. What is the...
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The Dollar Per Tails game costs $1 to play and consists of flipping
a coin, over and over gain, until Heads is flipped. Once you pay, the
host running the game starts flipping a coin. You win $1 for every
Tails that the host flips, but if Heads is flipped at any time the game
ends. Calculate the expected value of this game.

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