1. For reasons that are beyond my waking comprehension my NJ cousin prefers Dominos over oven baked pizza located nearby. He also likes it with pepperoni , but orders the pizza half plane as a compromise with his 'favorite' guest.If the pizza baker scatters n pepperoni slices at random before cutting the pie, what's the probability that the pizza can be divided in half through its diameter, with all the pepperoni slices on one of the halves? You may assume that the pepperoni slices are points. Calling any item on this pizza "plane" would be a huge overstatement!