Ben participates in a prize draw. He receives one prize that is equally likely to be worth \$ 5, \$ 10 or \$ 20. Jamie participates in a different prize draw. She receives one prize that is equally likely to be worth \$ 30 or \$ 40. What is the probability that the total value of their prizes is exactly \$ 50 ?
Answer Choices
A. \frac{1}{6}
B. \frac{1}{3}
C. \frac{1}{2}
D. \frac{2}{5}
E. \frac{2}{3}