If two distinct integers from 1 to 50 inclusive are chosen at random, what is the expected value of their product? Note: The expectation is defined as the sum of the products of probability and value, i.e., the expected value of a coin flip that gives you \$ 10 if head and \$ 5 if tail is \frac{1}{2} \times \$ 10+\frac{1}{2} \times \$ 5=\$ 7.5.