Three friends are in the park. Bob and Clarise are standing at the same spot and Abe is standing 10\:m away. Bob chooses a random direction and walks in this direction until he is 10\:m from Clarise. What is the probability that Bob is closer to Abe than Clarise is to Abe?
Answer Choices
A. \frac12
B. \frac13
C. \frac{1}{\pi}
D. \frac14
E. \frac16