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.