AMC 12B 2016 Problem 19

Tom, Dick, and Harry are playing a game. Starting at the same time, each of them flips a fair coin repeatedly until he gets his first head, at which point he stops. What is the probability that all three flip their coins the same number of times?

Answer Choices
A. \dfrac{1}{8}
B. \dfrac{1}{7}
C. \dfrac{1}{6}
D. \dfrac{1}{4}
E. \dfrac{1}{3}