You have two possible paths to reach your school. Path A is \(1.5 \mathrm{~km}\) long, and path \(\mathrm{B}\) is \(1.3 \mathrm{~km}\) long. Each day, the probability you choose path \(A\) to reach school is \(3 / 4\), and this probability is \(1 / 2\) when you choose your path to return.

a. List all the possible combinations of paths to reach your school and return in a given day.

b. Find the probability of each combination of paths listed in part a.

c. What is the average distance you cover in both directions in a given day?