QJEEAdv06Ma1eee: JEE Advanced 2006 Mathematics - Class 12 JEEAdv06Ma1eee Solution: There are urns, each of these contain balls. The ith urn…

Question

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There are

n

urns, each of these contain

n+1

balls. The ith urn contains

i

white balls and

(n+1-i)

red balls. Let

{u_i}

be the event of selecting ith urn,

i=1,2,3........,n

and

w

the event of getting a white ball.

If $P\left( {{u_i}} \right) \propto i,\,$ where $i=1,2,3,.......,n,$ then $\mathop {\lim }\limits_{n \to \infty } P\left( w \right) =$

Accepted Answer

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