Sixty percent of the members of a study group are women…
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.