Sonya the frog chooses a point uniformly at random lying within the square [0,6] \times[0,6] in the coordinate plane and hops to that point. She then chooses a distance uniformly at random in the interval [0,1] and a direction uniformly at random from \{north, east, south, west\}. All her choices are independent. She now hops the chosen distance in the chosen direction. What is the probability that she lands outside the square?
Answer Choices
A. \dfrac{1}{6}
B. \dfrac{1}{12}
C. \dfrac{1}{4}
D. \dfrac{1}{10}
E. \dfrac{1}{9}