In a certain corporation, there are 1230 male employees and 270 female employees.  It is known that

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10 Oct 2017 Probability

In a certain corporation, there are 1230 male employees and 270 female employees.  It is known that 10% of the male employees have advanced degrees and 30% of the females have advanced degrees.  If one of the employees is chosen at random, what is the probability this employee has an advanced degree and is female?

OPtion

1) 17/125
2) 19/125
3) 23/125
4) 23/500
5) 27/500
6) 29/500
7) 53/250
8) 51/250
9) 57/250
10) None of these

Solution

Total number of employees = 1230+270 = 1500

Number of female employess with Adv. degree = 270*30/100= 81

Probability = 81/1500 = 27/500

Correct Option: 5 Best Solution (6)