8. Given $a_{1}, a_{2}, \cdots, a_{n}$ these $n$ people correspond to $A_{1}, A_{2}, \cdots, A_{n}$ these $n$ cards $\left(n \geqslant 2, a_{i}\right.$ corresponds to $\left.A_{i}\right)$. Now $a_{1}$ randomly picks a card from the deck, and then each person takes a card in sequence. When taking a card, if the deck contains their corresponding card, they take that card. Otherwise, they take any card. Then the probability that $a_{n}$ can get $A_{n}$ is $\qquad$ .