Bernoulli Distribution

A discrete probability distribution \(Bernoulli(p)\) having the PMF
\[ p_{p}(k) = \begin{cases} 1-p & k = 0\\ p & k = 1\\ 0 & \text{otherwise} \end{cases} \]
that governs the probability that an experiment with a probability of success \(p\) succeeds and is equivalent to the binomial distribution for the number of experiments \(n\) equal to one.