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a) Michael and Christine play a game where Michael selects a number from the set {1,2,3,4,....8}....

a) Michael and Christine play a game where Michael selects a number from the set {1,2,3,4,....8}. He receives N dollars if the card selected is even; otherwise, Michael pays Christine two dollars. Determine the value of N if the game is to be fair.

b) A biased coin lands heads with probability 1/4 . The coin is flipped until either heads or tails has occurred two times in a row. Find the expected number of flips.

Math   Statistics-And-Probability   
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