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One hundred identical coins, each with p...

One hundred identical coins, each with probability 'p' of showing heads are tossed once. If `0 lt p lt 1` and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, then the value of p is

A

`1/2`

B

`49/101`

C

`50/101`

D

`51/101`

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The correct Answer is:
D
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