There are lily pads in a row numbered 0 to 11 , in that order. There are predators on lily pads 3 and 6 , and a morsel of food on lily pad 10 . Fiona the frog starts on pad 0 , and from any given lily pad, has a \dfrac{1}{2} chance to hop to the next pad, and an equal chance to jump 2 pads. What is the probability that Fiona reaches pad 10 without landing on either pad 3 or pad 6 ?
Answer Choices
A. \dfrac{15}{256}
B. \dfrac{1}{16}
C. \dfrac{15}{128}
D. \dfrac{1}{8}
E. \dfrac{1}{4}