Awnik repeatedly plays a game that has a probability of winning of \dfrac{1}{3}. The outcomes are independent. What is the expected value of the number of games he will play until he has both won and lost at least once?
Answer Choices:
A. \dfrac{5}{2}
B. 3
C. \dfrac{16}{5}
D. \dfrac{7}{2}
E. \dfrac{15}{4}