A box contains 15 red, 20 blue, and 16 green jelly beans. Jack first chooses a green jelly bean and eats it. Then he chooses a blue jelly bean and eats it. If each of the remaining jelly beans is equally likely to be chosen, what is the probability that Jack chooses a red jelly bean next?
Answer Choices
A. \frac{15}{31}
B. \frac{34}{49}
C. \frac{15}{49}
D. \frac{2}{7}
E. \frac{1}{15}