FRIDAY'S KILLER QUESTION: Should you be closer to the edge or the centre?

Every Friday we'll be posting challenging and cryptic questions for you to answer, provided for us by 7city Learning. Post your answers in the comments box at the bottom of the page. Maximum kudos will be provided to the person who provides the correct answer first.

We'll add the correct answer to the bottom of this article on Monday afternoon.

You have a square and a random variable that picks a random point on the square with a uniform distribution. What is the probability that a randomly selected point is closer to the center that to the edge.

Answer:

Many people will think that the required probability is the same as the probability of landing in the circle with diameter half the side of the square. But his is not the case. The line separating closer to centre from closer to edge is a parabola. The answer is