AMC 10 2008b Problem 22

Three red beads, two white beads, and one blue bead are placed in line in random order. What is the probability that no two neighboring beads are the same color? $\mathrm{(A)}\ 1/12 \mathrm{(B)}\ 1/10 \mathrm{(C)}\ 1/6 \mathrm{(D)}\ 1/3 \mathrm{(E)}\ 1/2$