Table below shows data collected in the company of 50 people

Table below shows data collected in the company of 50 people.

Based on these data find probability that

person in this company was Promoted IF person is a Female: P(Promoted IF Female)

Simplify final fraction.

Hint: P(A if B) = N(A and B)/N(B)

3/5

4/25

4/15

22/50

Solution

For such kind of questions, the first step is to look at the reduced sample size.

We need to find P( promoted IF female)

Thus, our sample space includes only number of females now = 8 + 22 = 30

From this, number of females promoted = 8

Thus, required probability = 8 / 30

= 4/15

Option C.

Hope this helps.