Challenge 163: Freddy Finds a Pyramid
Can you find the probability that Freddy heads toward the highest point of a pyramid?
someone has left a square-based pyramid with base area 36cm2 and vertical height 12cm on the table. He lands on one of the visible faces and then immediately crawls to the nearest vertex of the pyramid.
Assuming that Freddy is equally likely to land on any point of the four accessible faces of the pyramid, what is the probability that he heads towards its highest point?