ABSTRACT
If p is the probability that an event will happen and q is the probability that the event will not happen, then the probabilities that the event will happen 0, 1, 2, 3, …, n times in n trials are given by the successive terms of the expansion of (q + p)n, taken from left to right, i.e. q n , n q n − 1 p , n ( n − 1 ) 2 ! q n − 2 p 2 , n ( n − 1 ) ( n − 2 ) 3 ! q n − 3 p 3 , … https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429294402/968186b9-ffa4-4f2b-aa54-7fc58a604561/content/eq6273.tif"/>
