__Binomial Theorem:__

The binomial theorem is used to determine the probability of unordered vents. It is applied to cases where one, two, or more alternative outcomes are possible from a number of two mutually exclusive trials. According to this theorem, the possibilities of the occurrence of various combinations correspond to the terms of the binomial expansion. This expression of the binomial theorem is **(a+b) ^{n} = 1** where

**a**and

**b**are the respective probabilities of two alternative outcomes and

**n**is the number of trials. The binomial equation can be expanded for binomial expressions as follows: