a. The same experiment is repeated several times.
b. There are only two possible outcomes, success and failure.
c. The repeated trials are independent, so that the probability of success remains the same for each trial.
If p is the probability of success in a single trial of a binomial experiment, the
probability of x successes and n – x failures in n independent repeated trials of
the experiment is
*px*(1 – p)n – x.