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When does the first head come up?

Prob(1st is head)= 1/2

Prob(2nd is the first head) =

Prob(1st is tail and 2nd is head) = 1/2 x 1/2 = 1/4

Prob(3rd is the first head) =

Prob(1st is tail and 2nd is tail and 3rd is head) =

= 1/2 x 1/2 x 1/2 = 1/8

Prob(nth is the first head) = 1/2n

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