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5. (a) A fair coin is tossed until the number of heads is at least two more than the number of tails or the number

5. (a) A fair coin is tossed until the number of heads is at least two more than the number of tails or the number of tails is two more than the number of heads. What is the expected number of coin tosses?

(b) A fair coin is tossed until an odd number of tails or two heads appear. What is the probability that the number of tails is odd?

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