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JEE Advanced 2006
Exam
JEE Advanced
Year
2006
Subject
Mathematics
Chapter
Probability

JEE Advanced 2006 · Mathematics · Probability

Paragraph: There are n urns each containing (n+1) balls such that...

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

Options

  1. A2n+1\frac{2}{n+1}
  2. B1n+1\frac{1}{n+1}
  3. Cnn+1\frac{n}{n+1}
  4. D12\frac{1}{2}

Correct answer

A. 2n+1\frac{2}{n+1}

Step-by-step solution

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