If you’re thinking about studying maths at Imperial, you might be wondering what kind of problems first year studenst are supposed to solve in the tutorials. Last term I was a graduate teaching assistant (GTA) for a course Probability and Statistics I. Let’s see an example of a question posed by the lecturer, prof. Emma McCoy.
Imagine that n people, including yourself and a friend, are seated at random in a row of n chairs. What is the probability that you sit next to your friend?
This problem is easier than you think, especially after following the lectures. I’ll explain how to tackle this problem here.