If one fair six-sided die is rolled, suppose that $X$ is the total number of even numbers shown and $Y$ is the total number of fives shown.
How can I go about calculating the correlation exactly in terms of $p_1$ and $p_2$?
I was given, Hint: Notice that $E(XY) = 0$. Explain why this is true and use this fact in your calculation.
I'm not sure how to do about this... any ideas on where to start?