Suppose the probability of a single trial being a success is ptext Suppose the probability of a single trial being a success is ptext. For example a coin toss has only two possible outcomes. The binomial probability is 0432.
The binomial distribution is a probability distribution that summarizes the likelihood that a value will take one of two independent values under a given set of parameters or assumptions.
The probability of achieving exactly ksuccesses in ntrials is shown below. True or false yes or no event or no event success or failure. The binomial probability or binomial probability distribution is a significant probability distribution model that is used when you are expecting two possible outcomes binomial from a set of data eg. In a situation in which there were more than two distinct outcomes a multinomial probability model might be appropriate but here we focus on the situation in which the outcome is dichotomous.