| | Question 40

There are 5 women and 3 men applicants for a job.Only two out of eight are selected for a job.The probability that at least one of the selected person will be a women is:
(A) 25/28
(B) 21/27
(C) 6/7
(D) 5/7


Answer: (A)

Explanation: Selection can be done like that
First is a woman and second is a man
OR first is a man and second is a woman
OR both woman
Required probability = (5/8)(3/7) + (3/8)(5/7) + (5/8)(4/7)
= 15/56 + 15/56 + 20/56
= 50/56
= 25/28

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