Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

69% (01:37) correct 31% (02:00) wrong based on 144 sessions

HideShow timer Statistics

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 or is female?

Re: In a certain corporation, there are 300 male employees and 100 female [#permalink]

Show Tags

04 Mar 2015, 09:37

1

This post received KUDOS

Yup, the answer is 2/5. D.

The explanation was provided as below.

Bunuel wrote:

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 or is female?

Re: In a certain corporation, there are 300 male employees and 100 female [#permalink]

Show Tags

04 Mar 2015, 12:18

2

This post received KUDOS

Answer is D.....

we are told that 20% of male have advanced degree and also 40% of women....

so, 20% * 300 + 40% * 100 = 60 + 40= 100 total number of advanced degree holders,

Here is TWO approaches : First , The problem wants the probability of selecting ONE employee OUT of 400 employees who has advanced degree OR female

so we have counted the total number of degree holders ( 100 ) and we should add this number with the remaining number of females ( 100 -40 =60 )

So we have 100 + 60 =160 total our favorite outcomes so , probability is = Total favorite out comes / total out comes = 160/ 400 = 16/ 40 = 2/5 answer D

Second approaches : a little bit difference : 100/400 ( total advanced holders to total people ) + 60 / 400 ( the remaining females who don't have degree but are female) = 100/400 + 60/400 = 1/4 + 6/40 = 2/5

Important point: THE problem says that total number of degree holders OR female , here OR is so important it means we must add two fractions toghether , if the problem said AND we must multiple two fraction .... so answer D....

There is a minor issue with the "intent" of this question. I'm going to assume that the author is asking for the probability of selecting an employee who has an advanced degree or who is female OR BOTH.

In this scenario, there's actually some math that can be avoided. There are 100 females; some have advanced degrees and some don't, but performing THAT calculation is irrelevant because there will be 100 females regardless. We also have to factor in the number of men with advanced degrees, which is (.2)(300) = 60.

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 or is female?

In this corporation, there are 400 total employees. There are 100 women. Of the 300 men, 20% have advanced degrees —-10% of 300 must be 30, so 20% of 300 must be 60. Add the women and the men with advanced degrees: 100 + 60 = 160. This is the OR region, full set of individuals that satisfy the condition “has an advanced degree or is female.” Of the 400 employees, what’s the probability of picking one of the 160 in this particular group? P = 160/400 = 16/40 = 4/10 = 2/5.

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 or is female?

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

Kudos for a correct solution.

Since 20% of the male employees have advanced degrees, 0.2 x 300 = 60 male employees have advanced degrees and 300 - 60 = 240 male employees do not have advanced degrees.

Since 40% of the female employees have advanced degrees, 0.4 x 100 = 40 female employees have advanced degrees and 100 - 40 = 60 female employees do not have advanced degrees.

So, 60 + 40 = 100 employees have an advanced degree.

Thus, the probability of selecting an employee who is female or has an advanced degree is:

P(women) + P(advanced) - P(both)

100/400 + 100/400 - 40/400

160/400 = 16/40 = 2/5

Answer: D
_________________

Scott Woodbury-Stewart Founder and CEO

GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions