In a certain corporation, there are 300 male employees and 100 female

Question

In a certain corporation, there are 300 male employees and 100 female employees. It is known that 20% of the male employees have advanced degrees and 40% of the females have advanced degrees. If one of the 400 employees is chosen at random, what is the probability this employee has an advanced degree and is female?

A. 1/20
B. 1/10
C. 1/5
D. 2/5
E. 3/4

Kudos for a correct solution.

A. 1/20 
B. 1/10 
C. 1/5 
D. 2/5 
E. 3/4

Kudos for a correct  solution .

Gnpth · Answer

Total Employees : 400

We need to find females with advance degree out of total.

40% of 100= 40 Females with advance degree are there out of total.

So the probability :  \frac{40}{400}

=  \frac{1}{10} .

Answer is B.

aviram · Answer

Answer is B, 1/10. Total employees is 400, which is our denominator. For the numerator, we must calculate number of female employees with advanced degrees, which is 100*0.4=40. Therefore the probability of choosing a female with an advanced degree is 40/100=1/10.

Bunuel · Answer

MAGOOSH OFFICIAL SOLUTION:

Here we have an AND question, and the parameters — gender and advanced degree — are not independent. If I tell you the gender of a certain employee, then that gives me information about how likely it is that this employee has an advanced degree. One parameter gives information about the other, which means they are not independent. Therefore, we cannot use the simplified AND rule. Fortunately, it is relatively easy here to calculate everything directly.

There are 100 female employees, and we know 40% of them have advanced degrees, so there are 40 employees who both are female and have an advanced degree. That’s the number of employees in the AND region. Well, there are 400 employees altogether. Of these 400 total employees, the probability of picking someone in this AND region is
P = 40/400 = 1/10

Answer = B

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In a certain corporation, there are 300 male employees and 100 female

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In a certain corporation, there are 300 male employees and 100 female

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