Q68 / 120 · JEE Advanced 2006 · Mathematics

Paragraph: There are $n$ urns each containing $(n+1)$ balls such that the ith urn contains $i$ white balls and $(n+1-i)$ red balls. Let $u_i$ be the event of selecting ith urn, $i=1,2,3, \ldots, n$ and $W$ denotes the event of getting a white balls.Question: If $P\left(u_i\right)=c$, where $c$ is a constant, then $P\left(u_i / W\right)$ is equal to

  • Correct answer
    A
    $\frac{2}{n+1}$
  • B
    $\frac{1}{n+1}$
  • C
    $\frac{n}{n+1}$
  • D
    $\frac{1}{2}$

Solution

$P\left(\frac{u_i}{W}\right)=\frac{\frac{n}{n+1}}{\frac{\Sigma i}{n+1}}=\frac{2}{n+1}$

Hence, the correct answer is option: 'A'.

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