The binomial theorem widely used in statistics is simply a formula as below. PX 1 pnX P X n. The probability of success is 1 minus the probability of failure that is PS 1- p.
P is the probability of success on any given trial.
K number of successes. Various examples are based on real-life. You will have to do some manipulations to find the chart value. 1 p is the probability of failure on any given trial.