The following table shows the results of a coffee taste test given at a local grocery store.
\begin{tabular}{|c|c|c|r|}
\hline & Brand A & Brand B & Total \\
\hline Men & 59 & 39 & 98 \\
Women & 53 & 72 & 125 \\
\hline Total & 112 & 111 & 223 \\
\hline
\end{tabular}
a) If one of these individuals is selected at random, find the probability that the individual selected prefers Brand A. b) If one of these individuals is selected at random, find the probability that the individual selected is a man, given that the person prefers Brand A.
a) The probability that the individual sehcted prefers Brand $A$ is $\frac{112}{223}$
(Type an integer or a simplified fraction.)
b) The probability that the individual selected is a man, given that the person prefers Brand A, is (Type an integer or a simplified fraction.)

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 \(\boxed{\frac{59}{112}}\).