Please help with this question and its explanation. Thanks!

A Drunk Person at the Theater

There aren people in line, indexed byi=1,...,n , to enter a theater withnseats one by one. However, the first person (i=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 seats1 ton with equal probability. Every other personi=2,...,n that enters afterwards is sober and will take his assigned seat (seati ) unless his seati is already taken, in which case he will take a random seat chosen uniformly from the remaining seats.

Suppose thatn=3 . What is the probability that person 2 takes seat 2?

(Enter a fraction or a decimal accurate to at least 3 decimal places.)

Suppose thatn=5

. What is the probability that person 3 takes seat 3?