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A fair coin is thrown repeatedly. What is the probability that on the nth throw:(a) a head appears for the first time?(b) the numbers of

A fair coin is thrown repeatedly. What is the probability that on the nth throw:(a) a head appears for the first time?(b) the numbers of heads and tails to date are equal?

(c) exactly two heads have appeared altogether to date?(d) at least two heads have appeared to date?

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