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

Question

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

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

Bunuel · Accepted Answer

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.

Answer: C.

ScottTargetTestPrep · Answer

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.

Answer C.

GMATinsight · Answer

Answer: Option C

Step-by-Step Video solution by  GMATinsight

https://www.youtube.com/watch?v=15PbUIZWmEI

avigutman · Answer

Video solution from Quant Reasoning: Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=dnpJqqMh2f8

ArnauG · Answer

To find the probability that a randomly selected member of the study group is a woman lawyer, we need to multiply the probabilities of two independent events: being a woman and being a lawyer.

Given that 60% of the study group are women, the probability of selecting a woman from the group is 0.60 or 60%.

Among the women, 45% are lawyers. Therefore, the probability of selecting a woman lawyer from the group is 0.60 * 0.45 = 0.27 or 27%.

Among the given answer choices, the probability closest to 0.27 is (C) 0.27.

anikpait17 · Answer

Why didnt we do 27/60 where 60 is the number of women we have and 27 of them are lawyers?

Bunuel · Answer

That would give the probability that a member selected from the women is a lawyer. However, the question asks for the probability that a member selected from the entire group is a woman lawyer. Thus, the set you are selecting from is the entire group of 100 members, and the favorable group is the group of women lawyers, which consists of 27 members.

By the way, if you had read the solution above carefully enough, you would catch the mistake you are making.

Hope it's clear.

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

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