Two players alternate flipping a coin that comes up heads with probability p. The first one to
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Two players alternate flipping a coin that comes up heads with probability p. The first one to obtain a head is declared the winner. We are interested in the probability that the first player to flip is the winner. Before determining this probability, which we will call f(p), answer the following questions.
(a) Do you think that f(p) is a monotone function of p? If so, is it increasing or decreasing?
(b) What do you think is the value of limp-1 f(p)?
(c) What do you think is the value of limp-of(p)?
(d) Find f(p).
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