GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 13 Jul 2020, 07:47

### GMAT Club Daily Prep

#### 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

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

# Sixty percent of the members of a study group are women, and

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 172
Sixty percent of the members of a study group are women, and  [#permalink]

### Show Tags

10 Dec 2012, 09:44
4
28
00:00

Difficulty:

5% (low)

Question Stats:

91% (01:06) correct 9% (01:29) wrong based on 2142 sessions

### HideShow timer Statistics

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
Math Expert
Joined: 02 Sep 2009
Posts: 65238
Re: Sixty percent of the members of a study group are women, and  [#permalink]

### Show Tags

10 Dec 2012, 09:47
1
5
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

Say there are 100 people in that group, then there would be 0.6*0.45*100=27 women lawyers, which means that the probability that the member selected is a woman lawyer is favorable/total=27/100.

_________________
##### General Discussion
Intern
Joined: 24 Apr 2014
Posts: 8
Re: Sixty percent of the members of a study group are women, and  [#permalink]

### Show Tags

25 Apr 2014, 22:40
Result = 0.6*0/45=0.27
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 11100
Location: United States (CA)
Re: Sixty percent of the members of a study group are women, and  [#permalink]

### Show Tags

10 Jun 2016, 10:33
2
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

This is a two-part probability question. We should first notice that since our answer choices are in decimal form, we can use a real numerical value for the total number of members of the study group. A convenient number to use is 100.

We are first told that 60 percent of the members in the group are women. Thus we can say:

0.6 x 100 = 60 women

We are next told that 45 percent of these 60 women are lawyers. We can then say:

0.45 x 60 = 27 women lawyers

Finally, we need to determine the probability of selecting a woman lawyer from the group. Since there are 100 total members and 27 of them are women lawyers, the probability is 27/100 = 0.27.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com

214 REVIEWS

5-STARS RATED ONLINE GMAT QUANT SELF STUDY COURSE

NOW WITH GMAT VERBAL (BETA)

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

Manager
Joined: 21 Sep 2015
Posts: 84
Location: India
GMAT 1: 730 Q48 V42
GMAT 2: 750 Q50 V41
Re: Sixty percent of the members of a study group are women, and  [#permalink]

### Show Tags

16 Jun 2016, 07:26
0.6*0.45 =(6/10) * (45/100) = 27/100 =0.27
Manager
Joined: 03 Jan 2017
Posts: 131
Re: Sixty percent of the members of a study group are women, and  [#permalink]

### Show Tags

25 Mar 2017, 05:21
let's try smart numbers, there are 100 people in the group
600 of the people are women, 27 are lawyers, 27/100=0,27
Intern
Joined: 03 Dec 2017
Posts: 13
Re: Sixty percent of the members of a study group are women, and  [#permalink]

### Show Tags

13 Apr 2018, 08:58
Why is this questions labaled as a HARD on at OG2018?
Manager
Joined: 19 Jan 2018
Posts: 93
Re: Sixty percent of the members of a study group are women, and  [#permalink]

### Show Tags

28 Jan 2019, 12:12
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

Because we're working with percentages, using 100 people as the total makes things easier. Also,

Total Number of People: 100

60% of those people are women: 100 * $$\frac{6}{10}$$ (Converting and reducing those percentages into fractions makes it easier to calculate quickly)

45% of those women are lawyers: 100 * $$\frac{6}{10}$$ * $$\frac{45}{100}$$

100 * $$\frac{3}{5}$$ * $$\frac{3}{20}$$ = 27 people who are women and lawyers

27/100 = 27%

SVP
Joined: 23 Feb 2015
Posts: 1947
Sixty percent of the members of a study group are women, and  [#permalink]

### Show Tags

14 Apr 2020, 19:49
Quote:
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

Let,
Total 100
women=60% of 100=60. Lawyer=45% of 60=27.
So, probability 27/100=0.27.
Intern
Joined: 19 May 2019
Posts: 41
Location: India
GMAT 1: 760 Q51 V41
Re: Sixty percent of the members of a study group are women, and  [#permalink]

### Show Tags

14 Apr 2020, 21:16
Let total number of members of the study group be 'X'.

Probability (woman lawyer)= [number of women lawyers] / [total number of members of study group]

Here, number of women lawyers= 45% of 60% of X = 0.45 x 0.60 x X = 0.27 X

Substituting the value in above equation,
Probability = 0.27X / X = 0.27

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

_________________
GMAT 760- V41 Q51; 620 to 760, V27 to V41
Kellogg admit- Class of 2022
Senior Manager
Status: Today a Reader; Tomorrow a Leader.
Joined: 14 Oct 2019
Posts: 406
Location: India
GPA: 4
WE: Engineering (Energy and Utilities)
Re: Sixty percent of the members of a study group are women, and  [#permalink]

### Show Tags

16 Apr 2020, 09:34
let, there are 100 people in that group.
60 percent of the members in the group are women
so, women =0.6 x 100 = 60
45 percent of these 60 women are lawyers.
so, women lawyers =0.45 x 60 = 27
the probability that the member selected is a woman lawyer = 27/100 =.27

Re: Sixty percent of the members of a study group are women, and   [#permalink] 16 Apr 2020, 09:34

# Sixty percent of the members of a study group are women, and

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne