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A box contains n coins, Let P(E(i)) be t...

A box contains n coins, Let `P(E_(i))` be the probability that exactly `i` out of n coins are biased. If `P(E_(i))` is directly proportional to `i(i+1),1 leilen`.
Q. If P be the probabiloity that a coin selected at random is biased, then `underset(xto oo)(lim)P` is

A

`(1)/((n+1)(n+2)(n+3)(n+4))`

B

`(12)/(n(n+1)(n+2)(3n+1))`

C

`(24)/(n(n+1)(n+2)(2n+1))`

D

`(24)/(n(n+1)(n+2)(3n+1))`

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