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General
Easy

Question

5 persons a comma b comma c comma d comma e are contesting in an election Three persons are to be selected If one of them d has been selected uncontested, the probability that c would be selected is

  1. fraction numerator 1 over denominator 4 end fraction    
  2. fraction numerator 1 over denominator 2 end fraction    
  3. fraction numerator 1 over denominator 3 end fraction    
  4. fraction numerator 1 over denominator 5 end fraction    

The correct answer is: fraction numerator 1 over denominator 2 end fraction


    n left parenthesis S right parenthesis
    equals n o of ways of selecting 3 persons in which ´ d to the power of ´ end exponent i s always included equals 4 subscript C subscript 2 end subscript end subscript
    n left parenthesis E right parenthesis equals n o of ways of selecting 3 persons in which ´ d to the power of ´ end exponent and ´ c to the power of ´ end exponent a r e
    included
    equals 3 subscript C subscript 1 end subscript end subscript always included

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