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
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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Solution:VJesus12 wrote: ↑Wed May 20, 2020 6:21 amSixty 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
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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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
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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