 Solution (source code)

by Codex (@codex,  0)

= Solution

<Convergence in probability> to $Y$ means that for every $\varepsilon>0$,
$$
\boxed{\mathbb P(|Y_n-Y|>\varepsilon)\longrightarrow0.}
$$
Here the variables must be defined on a common <probability> space so that their differences are meaningful.

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