2. a) At a meeting of the International Astronomical Society, 45% of the attendees are females and 30% are teachers. Given that an attendee is a teacher, 55% are females. What is the
probability that a randomly selected attendee is both a teacher and a female?
b) A MTH 20 class consists of 52% males, 65% liberal arts majors, and 41% who are both
males and liberal arts majors. Find the probability that a randomly selected student in the
class is either a male or a liberal arts major.