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Question

One hundred Identical coins each with probability P of showing up heads are tossed once. It 0 < P < 1 and probability of heads showing on 50 coins is equal that of heads showing on 51 coins, then the value of P is :-

Options

A.
B.
C.
D.

Solution

100C50 P50 q50 = 100C51 P51 q49
                   (where q = 1 - P)

⇒ P =

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