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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, , n and W denotes the event of getting a white balls. Question: If n is even and E denotes the event of choosing even numbered urn (P (u_i )= 1 n ) , then the value of P(W / E) is

Options

  1. An+2 2 n+1
  2. Bn+2 2(n+1)
  3. Cn n+1
  4. D1 n+1

Correct answer

B. n+2 2(n+1)

Step-by-step solution

P(W / E)= 2+4+6+ n(n+1) 2 = n+2 2(n+1)

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