There are ???? people in line, indexed by ????=1,…,???? , to with ???? seats one by one. However, the first person ( ????=1 ) in
the line is drunk. This person has lost her ticket and decides to take a random seat instead of her assigned seat. That is, the drunk person decides to take any one of the seats 1 to ???? with equal probability. Every other person ????=2,…,???? that enters afterwards is sober and will take his assigned seat (seat ???? ) unless his seat ???? is already taken, in which case he will take a random seat chosen uniformly from the remaining seats. Suppose that ????=3 . What is the probability that person 2 takes seat 2? (Enter a fraction or a decimal accurate to at least 3 decimal places.)
