question archive Consider the "coin flipping game"

Consider the "coin flipping game"

Subject:StatisticsPrice: Bought3

Consider the "coin flipping game". Let Y record the first point in time when the "Head" player has $2.

What is the probability that Y ≤ 8? What is the probability that Y is even? What is the probability that Y is odd? 

Coin Flipping game: start with $0 and we have unlimited credit. We have a "Head" player and a "Tail" Player. The Head player wins a dollar if the coin is heads and loses a dollar if the coin is tails, and vice versa for the tail player.

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