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QJEEAdv06Macb90: JEE Advanced 2006 Mathematics - Class 12 JEEAdv06Macb90 Solution: There are urns, each of these contain balls. The ith urn…

There are nn urns, each of these contain n+1n+1 balls. The ith urn contains ii white balls and (n+1−i)(n+1-i) red balls. Let ui{u_i} be the event of selecting ith urn, i=1,2,3........,ni=1,2,3........,n and ww the event of getting a white ball.

Let P(ui)=1n,P\left( {{u_i}} \right) = {1 \over n}, if nn is even and EE denotes the event of choosing even numbered urn, then the value of P(w/E)P\left( {w/E} \right) is

Multiple Choice Options

  • A n+22n+1{{n + 2} \over {2n + 1}}
  • B n+22(n+1){{n + 2} \over {2\left( {n + 1} \right)}}
  • C nn+1{n \over {n + 1}}
  • D 1n+1{1 \over {n + 1}}

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