2005 Pascal Problem 13

Eight unit cubes are used to form a larger 2 by 2 by 2 cube. The six faces of this larger cube are then painted red. When the paint is dry, the larger cube is taken apart. What fraction of the total surface area of the unit cubes is red?

\textbf{(A)}\ \frac{1}{6}\quad \textbf{(B)}\ \frac{2}{3}\quad \textbf{(C)}\ \frac{1}{2}\quad \textbf{(D)}\ \frac{1}{4}\quad \textbf{(E)}\ \frac{1}{3}

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.