The Binomial Probability distribution is an experiment that possess the following properties:
- There are fixed number of trials which is denoted by n.
- All the trials are independent.
- The outcome of each trial can either be a "success" or "failure".
- The probability of success remains constant and is denoted by p.
Then the probability distribution of exactly x successes from n number of trials is given by
n = Total number of trials
x = Total number of successful trials
p = probability of success in a single trial
q = probability of failure in a single trial = 1-p