Step 1 :The total number of people is 223.
Step 2 :The total number of people who prefer Brand A is 112.
Step 3 :The number of men who prefer Brand A is 59.
Step 4 :The probability that a randomly selected individual prefers Brand A is calculated by dividing the total number of people who prefer Brand A by the total number of people. So, the probability is \(\frac{112}{223}\).
Step 5 :The probability that a randomly selected individual is a man, given that the person prefers Brand A, is calculated by dividing the number of men who prefer Brand A by the total number of people who prefer Brand A. So, the probability is \(\frac{59}{112}\).
Step 6 :Final Answer: a) The probability that the individual selected prefers Brand A is \(\boxed{\frac{112}{223}}\). b) The probability that the individual selected is a man, given that the person prefers Brand A, is \(\boxed{\frac{59}{112}}\).