Markov Chains & Long-Run Behavior · Easy problem

A chain on states 1, 2, 3 has transition matrix $M = \begin{pmatrix} 0 & 1/2 & 1/2 \\ 1/2 & 0 & 1/2 \\ 1/2 & 1/2 & 0 \end{pmatrix}$, where $M_{ij}$ is the probability of moving to state $i$ from state $j$. Starting in state 1, what is the probability of being in state 1 again after exactly two steps? Express your answer as a common fraction.