Markov Chains & Long-Run Behavior · Easy problem

A two-state chain has transition matrix $M = \begin{pmatrix} 1/2 & 1/3 \\ 1/2 & 2/3 \end{pmatrix}$ (columns sum to $1$; $M_{ij}$ is the probability of moving to $i$ from $j$). In its steady state, what is the probability of state 1? Express your answer as a common fraction.