Distributions: Bernoulli

September, 2026

A Bernoulli(p) random variable takes value $1$ with probability $p$ and value $0$ with probability $1 - p$ , for $p \in [0, 1]$ .

Binomial distribution

Based on Bernoulli's random variable, we render the binomial formula for the distribution:

B_{k} (n, p) = (k n) p^{k} (1 - p)^{n - k}