Bernoulli Distribution -

: The probability of success is denoted by , and the probability of failure by . The PMF is given by:

follows a Bernoulli distribution if it can take only two values, typically denoted as (success) and (failure). bernoulli distribution

The Bernoulli distribution is the simplest discrete probability distribution, modeling a single trial—called a —that has exactly two possible outcomes: "success" and "failure" . Core Concept and Mathematical Definition A random variable : The probability of success is denoted by