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?

**Answer Choices**

A. \frac16

B. \frac23

C. \frac12

D. \frac14

E. \frac13