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

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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

[spoiler]OA=C[/spoiler]

Source: Official Guide

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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

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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

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