A player chooses one of the numbers 1 through 4. After the choice has been made, two regular four-sided (tetrahedral) dice are rolled, with the sides of the dice numbered 1 through 4 . If the number chosen appears on the bottom of exactly one die after it is rolled, then the player wins \$ 1. If the number chosen appears on the bottom of both of the dice, then the player wins \$ 2. If the number chosen does not appear on the bottom of either of the dice, the player loses \$ 1. What is the expected return to the player, in dollars, for one roll of the dice?

**Answer Choices**

A. -\dfrac{1}{8}

B. -\dfrac{1}{16}

C. 0

D. \dfrac{1}{16}

E. \dfrac{1}{8}