You pull into a carwash and find all the bays are full and there is a line of cars waiting. People washing cars have an iid exp distribution of...

You pull into a carwash and find all the bays are full and there is a line of cars waiting. People washing cars have an iid exp distribution of finishing. If there are no other cars coming and there are n bays, k cars waiting ahead of you, what is the probability you will be the last person to finish washing your car?