Binomial Distribution

A discrete probability distribution \(Binom(n, p)\) having the PMF
\[ p_{n,p}(k) = {}^nC_k \times p^k \times (1-p)^{n-k} \]
that governs the probability that, for \(n\) independent experiments with a probability of success \(p\), there are \(k\) successes where \(k\) is greater than or equal to zero and less than or equal to \(n\) and \({}^nC_k\) is the combination of \(k\) from \(n\) objects. If \(n\) equals one then it is identical to the Bernoulli distribution.