A point is randomly chosen in the diagram shown below.

Question

A circle inside of a square. The circle touches all sides of the square.

What is the likelihood that a point chosen inside the square will also be inside the circle?
It is certain.
It is impossible.
It is likely.
It is unlikely.

Answer 1

It is impossible. Since the circle touches all sides of the square, the area inside the square that is not inside the circle is non-existent, so any point chosen inside the square will also be inside the circle.