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Question

A bag contains n white and n red balls. Pairs of balls are drawn with out replacement until the bag is empty. The probability that each pair consists of one white and one red ball is
  1. (n)2.2n2n
     
  2. n.n2n.2n1
     
  3. (n).2n2n
     
  4. (n).2n12n


Solution

The correct option is A (n)2.2n2n
 
n(s)=2nC2.2n2C2....2C2n(E)=n2(n1)2(n2)2...12=(n)2

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