Airplane seat problem

Assume that there are \(X\) passengers and \(X\) seats. Passengers board an airplane one at a time. One passenger lost his ticket and cannot remember his seat number, so he randomly chooses a seat and sits. Each subsequent passenger will sit in their assigned seat if it is available; if not, they will randomly select one of the remaining empty seats. What can you infer about the probability of the last passenger sitting in her/his assigned seat?