Walkabout 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
Because we're working with percentages, using 100 people as the total makes things easier. Also,
Total Number of People: 100
60% of those people are women: 100 * \(\frac{6}{10}\) (Converting and reducing those percentages into fractions makes it easier to calculate quickly)
45% of those women are lawyers: 100 * \(\frac{6}{10}\) * \(\frac{45}{100}\)
100 * \(\frac{3}{5}\) * \(\frac{3}{20}\) = 27 people who are women and lawyers
27/100 = 27%
Answer is C