Mock AMC 8 #1 - Problem 19

Michael randomly chooses two integers x, y in the range 0 to 5 inclusive. What is the probability that the area of the rectangle with bottom left corner at (0, 0) and top right corner at (x, y) is larger than or equal to 12?

(\textbf{A})\;\dfrac{2}{9}\quad(\textbf{B})\;\dfrac{8}{25}\quad(\textbf{C})\;\dfrac{1}{3}\quad(\textbf{D})\;\dfrac{13}{25}\quad(\textbf{E})\;\dfrac{12}{25}