Sixty percent of the members of a study group are women, and 45 percent of those women are lawyers. If one member of the

This topic has expert replies
Legendary Member
Posts: 2276
Joined: Sat Oct 14, 2017 6:10 am
Followed by:3 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Sixty percent of the members of a study group are women, and 45 percent of those women are lawyers. If one member of the study group is to be selected at random, what is the probability that the member selected is a woman lawyer?

(A) 0.10
(B) 0.15
(C) 0.27
(D) 0.33
(E) 0.45

[spoiler]OA=C[/spoiler]

Source: Official Guide

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 7222
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members
VJesus12 wrote:
Wed May 20, 2020 6:21 am
Sixty percent of the members of a study group are women, and 45 percent of those women are lawyers. If one member of the study group is to be selected at random, what is the probability that the member selected is a woman lawyer?

(A) 0.10
(B) 0.15
(C) 0.27
(D) 0.33
(E) 0.45

[spoiler]OA=C[/spoiler]

Source: Official Guide
Solution:

We can let 100 be the number of people in the study group. Therefore, 60 are women and 0.45 x 60 = 27 are female lawyers. Therefore, the probability of selecting a member who is a female lawyer is 27/100 = 0.27.

Answer: C

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage

Junior | Next Rank: 30 Posts
Posts: 11
Joined: Sun May 31, 2020 9:47 pm
We can assume that the total number of people is 100.
If 60% of them are females, total number of females= 60
45% of females are lawyers, No. of female lawyers= 45% of 60=> 27
Probability of selecting female lawyer = 27/100 => 0.27
ANSWER= C

User avatar
Senior | Next Rank: 100 Posts
Posts: 30
Joined: Mon Nov 24, 2014 1:47 pm
Location: London
Hi GMATters,

Here is my video solution to the problem: https://yourgmatcoach.com/gmat-work-and ... th-videos/
Is Your GMAT Score Stuck in the 600s? This FREE 8-Video, 20-Page Guide Can Help.

https://privategmattutor.london/move-yo ... -the-700s/

PS have you seen the new GMAT Work and Rates guide? Comes with a free 8-video course.

https://yourgmatcoach.podia.com/courses ... s-problems

Learn more about Private GMAT Tutoring at: https://privategmattutor.london