In a certain corporation, there are 300 male employees and

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M7MBA: Moderator; Posts: 2058; Joined: Sun Oct 29, 2017 4:24 am; Thanked: 1 times; Followed by:5 members

In a certain corporation, there are 300 male employees and

by M7MBA » Fri Dec 13, 2019 11:06 am

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

[spoiler]OA=B[/spoiler]

Source: Magoosh

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Source: Beat The GMAT — Problem Solving | Fri Dec 13, 2019 11:06 am

GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

by Brent@GMATPrepNow » Fri Dec 13, 2019 11:19 am

M7MBA 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 and is female?

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

20% of the 300 male employees have advanced degrees and 40% of the 100 females have advanced degrees
20% of 300 = 60. So, there are 60 MALES with advanced degrees
40% of 100 = 40. So, there are 40 FEMALES with advanced degrees

What is the probability the selected employee has an advanced degree AND is female?
Since there are 40 FEMALES with advanced degrees, what the probability = 40/400 = 1/10

Answer: B

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Sun Dec 22, 2019 7:33 pm

M7MBA 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 and is female?

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

[spoiler]OA=B[/spoiler]

Source: Magoosh

Since 40% of the female employees have advanced degrees, 0.4 x 100 = 40 female employees have advanced degrees.

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

40/400 = 1/10

Answer: B

Scott Woodbury-Stewart
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