Syntax: Bin(trials, probability, stream)
The binomial distribution (discrete) with parameters trials = t (a positive integer) and probability = p can be thought of as the distribution of the number of successes in t independent Bernoulli trials, where success occurs on each trial with a probability of p and failure occurs on each trial with a probability of 1 - p. A binomial distribution with trials = 1 is called a Bernoulli distribution with probability = p.
Stream allows you to specify the random number stream for the distribution. There are 215 streams. Stream 1 is the default. See Seeds or Appendix D of the User's Guide for more information.