One day Professor Egghead was taking a walk in the park behind his house and spied a cord of some sort lying on the path. From the distance that he was from the rope he couldn't see if it was knotted or not.
As he continued to approach the cord he wondered about the probability of the cord being a knot.
In what orientations would the cord be a knot and what is the probability that the cord was knotted?
