AMC 10B 2008 Problem 22

Three red beads, two white beads, and one blue bead are placed in a line in random order. What is the probability that no two neighboring beads are the same color?

Answer Choices
A. \dfrac{1}{12}
B. \dfrac{1}{10}
C. \dfrac{1}{6}
D. \dfrac{1}{3}
E. \dfrac{1}{2}