what is the probability

Question

Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand B. Of all these soft drink consumers, 20% prefer Brand A and are female, and 40% prefer Brand B and are female. What is the probability that a randomly selected consumer is female, given that the person prefers Brand A?

Answer 1

P(being female | preferring Brand A) = 0.2 * 0.5714 / 0.3 = 0.3810 = 38.10%.