In a university, there are $19$ departments. $13$ males and $6$ females head one of the departments. If one of the

In a university, there are $19$ departments. $13$ males and $6$ females head one of the departments. If one of the heads of the departments is selected at random, what is the probability that the head of the department selected will be a female who is pursuing Ph. D. program?

1) Among the females, three are pursuing Ph. D. program
2) Among the females, three are not pursuing Ph. D. program

The OA is D

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