Bernoulli random variable: A Bernoulli random variable counts the number of "successes" in a Bernoulli trial. It takes the value 1 if the trial was a "success" and 0 if it was a "failure."
Bernoulli distribution model: Also called simply a Bernoulli distribution, a Bernoulli distribution model describes the pattern of variation of a Bernoulli random variable. The Bernoulli distribution model is characterized by the parameter p in the Bernoulli trial. The probability mass function of the Bernoulli distribution model with parameter p is