A binomial distribution for a random variable X is one in which there are only two possible outcomes, success and failure, for a finite number of trials.

We define success as “rolling an even” and failure as “not rolling an even.” In this case, each roll of the die would be a trial.

P(success of getting an even)=3/6*=1/2

The variable X has a binomial distribution. P(success)=0.5; number of trials = 5