Out of 13 applicants for a job, there are 8 men and 5 women. It is desired to select 2 persons for the job. The probability that atleast one of the selected persons will be a woman, is

Out of 13 applicants for a job, there are 8 men and 5 women. It is desired to select 2 persons for the job. The probability that atleast one of the selected persons will be a woman, is

  1. A

    5/13

  2. B

    10/13

  3. C

    14/39

  4. D

    25/39

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    Solution:

    13 applicants =8 men + 5 women
    2 persons are selected i.e. (1 men + 1 women) or 2 women
    Required probability = 8C1×5C1 13C2+ 5C2 13C2=50 13C2=2539

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