For a given a event what is the result of dividing the number of successful outcomes by the number of possible outcomes

The number of successful outcomes can be represented by p while number of unsuccessful outcomes can be represented by q. In this case, the sum of p and q is equal to the sample space, regarded here as n. so, taking the quotient of the two:

p/q = p / n-q

If these were expressed in probabilities:

p/q = p / 1 - p

The quotient would be greater than 1.