Here's my problem.
You are the last person to arrive to the event with k numbered seats
(say, k >= 2), and all k-1 seats have been already randomly taken. You
insist on sitting in the seat printed on your ticket, so you find your
seat and (if it's not empty), you make the person sitting there stand up
and find her own seat. That person in turn finds her own seat and makes
the person sitting there stand up, etc... The process continues until
someone finally seats in the empty seat. The question is, what's the
probability that the first person to arrive to the event will not have
to stand up?
Appreciate all your help