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Alice and Bob play the following game. They toss 5 fair coins. If all tosses are...

Alice and Bob play the following game. They toss 5 fair coins. If all tosses are Heads,Bob wins. If the number of Heads tosses is zero or one, Alice wins. Otherwise they repeat,tossing five coins on each round, until the game is decided. (a) Compute the expectednumber of coin tosses needed to decide the game. (b) Compute the probability that Alicewins.

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