One-step transition probability $p_{12}=\tfrac14$

Let $\{X_n\}$ be a MC with states 0, 1, 2 and TPM $P=\left(\begin{smallmatrix}3/4&1/4&0\\1/4&1/2&1/4\\0&3/4&1/4\end{smallmatrix}\right)$, with $P(X_0=i)=\frac13$. What is $P(X_2=2\mid X_1=1)$?