OG 12th Edition Qn

crimson2283 wrote: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

Out of 60 women if 45% are lawyers, then 27 members are lawyers. Won't probability that the member selected is a woman lawyer be 27/60 - 0.45?

OA - C

Solution:

This is a two-part probability question. We should first notice that because our answer choices are in decimal form, we can choose a convenient value to represent the total number of members of the study group. The best 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