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In: Statistics and Probability

A player tosses a fair coin n times. Each time, if the coin lands on Head,...

A player tosses a fair coin n times. Each time, if the coin lands on Head, the player win a dollar, otherwise, the player loses a dollar. What is the expected earning of the player? What is the variance of the earning of the player? Now the player apply a new strategy: the player will play the game until he gets a head. What is the expected earning of the new strategy? Does the result depend on n?

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