Let the probability $P({X = Y}) > 0$. This can happen if $X$ and $Y$ are discrete random variables. Also, if $X$ and $Y$ are continuous random variables, it could be that some values have a non-zero probability of getting selected.
Then $P({X>Y}) = P({Y>X}) = \dfrac{1 - P({X=Y})}{2}$
Since nothing is said about the value of $P({X=Y})$, the correct answer will be option e. Information is insufficient.