Answer
most at $x=0$
least at $m=\pm 1$
Work Step by Step
To find the probability of finding a particle at some position $x$, we need to find the probability density $\left|\psi(x)\right|^2 $ where the particle is most likely to be found when $\left|\psi(x)\right|^2 $ is largest.
We draw the probability density $\left|\psi(x)\right|^2 $, as we can see below.
It is obvious, from the figure below, that the electron is most likely to be found at $x=0$ nm, and that the electron is least likely to be found at $x=\pm 1$.
