An urn has \(n\) tickets with numbers from 1 to \(n\). The tickets are drawn at random, one at a time (without replacement). What is the probability that at least in one selection the number of the extracted ticket will coincide with the number of the trial?

\[ \begin{aligned} P\left\{\sum_{k=1}^{n} A_{k}\right\}=\sum_{i=1}^{n} P\left(A_{j}\right)- & \sum_{1 \leqslant i