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

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Manager
Joined: 02 Dec 2012
Posts: 174
Sixty percent of the members of a study group are women, and  [#permalink]

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10 Dec 2012, 09:44
3
19
00:00

Difficulty:

5% (low)

Question Stats:

91% (01:04) correct 9% (01:26) wrong based on 1874 sessions

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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: 52902
Re: Sixty percent of the members of a study group are women, and  [#permalink]

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10 Dec 2012, 09:47
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.

_________________
Intern
Joined: 24 Apr 2014
Posts: 9
Re: Sixty percent of the members of a study group are women, and  [#permalink]

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

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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.

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Posts: 76
Location: India
GMAT 1: 730 Q48 V42
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Re: Sixty percent of the members of a study group are women, and  [#permalink]

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16 Jun 2016, 07:26
0.6*0.45 =(6/10) * (45/100) = 27/100 =0.27
_________________

Appreciate any KUDOS given !

Manager
Joined: 03 Jan 2017
Posts: 147
Re: Sixty percent of the members of a study group are women, and  [#permalink]

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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: 18
Re: Sixty percent of the members of a study group are women, and  [#permalink]

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13 Apr 2018, 08:58
Why is this questions labaled as a HARD on at OG2018?
Intern
Joined: 19 Jan 2018
Posts: 18
Re: Sixty percent of the members of a study group are women, and  [#permalink]

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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%

Re: Sixty percent of the members of a study group are women, and   [#permalink] 28 Jan 2019, 12:12
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