Use of recurrence relation for binomial probability computation

The binomial probability computation have since been made using the binomial probability distribution expressed as (n¦x) P^x (1-P)^(n-x) for a fixed n and for x=0, 1, 2…, n. In this paper, a new formular, f(x+1)= a (n-x)/(x+1) f(x), fashioned out of the existing binomial probability expression (distribution) is proposed where the expression is stated as a recurrence relations that is f(x+1) in terms of f(x).