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There are n urns numbered 1 to n. The it...

There are `n` urns numbered 1 to `n`. The ith urn contains `i` white and `(n+1-i)` black balls. Let `E_(i)` denote the event of selecting ith urn at random and let `W` denote the event that the ball drawn is white. If `P(E_(i))propi` for `i=1,2..........,n` then `lim_(nrarroo) P(W)` is

A

`2/3`

B

`1/3`

C

`3/4`

D

`1/4`

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