Of all the smokers in a particular district, 40% prefer brand A and 60% prefer brand B. Of those smokers who prefer branda. 30% are females, and of those who prefer brand B. 40% are female. What is…

Of all the smokers in a particular district, 40% prefer brand A and 60% prefer brand B. Of those smokers who prefer branda. 30% are females, and of those who prefer brand B. 40% are female. What is the probability that a randomly selected smoker prefers brand A, given that the person selected is a female? Which of the following is a best way to solve this problem?