The transition probabilities are given by the matrix

\[ \pi_{1}=\left\{\begin{array}{ccc} \frac{1}{2} & \frac{1}{3} & \frac{1}{6} \\ \frac{1}{2} & \frac{1}{3} & \frac{1}{6} \\ \frac{1}{2} & \frac{1}{3} & \frac{1}{6} \end{array}\right\} \]

What is the number of the states? Find the two-step transition probabilities from state to state.