The Bernoulli distribution best describes all situations where a “trial” is made resulting in either “success” or “failure,” such as when tossing a coin, or when modeling the success or failure of a surgical procedure.

The Bernoulli distribution is defined as:

f(x) = p^x * (1-p)^1-x

für x Î {0,1}

where

For a complete listing of all distribution functions, see Distributions and Their Functions.