The Fixed One I

Fix $n \geq 2$. A uniformly random permutation $f: [n] \rightarrow [n]$ is being formed, where $[n] = \{1,2,\dots,n\}$. We say that $1 \leq i \leq n$ is fixed if $f(i) = i$. When $n = 10$, find the probability that $1$ is fixed, but $2$ is not fixed.