Bernoulli trial
= Bernoulli trial
{c}
{title2=$X\sim\operatorname{Bernoulli}(\theta)$}
{wiki}
A random experiment with two outcomes, success and failure, whose success indicator has a <Bernoulli distribution>. Repeated trials sharing success probability $\theta$ give a <binomial distribution> for their success count if they are independent conditional on $\theta$; integrating over an uncertain common $\theta$ generally makes the trials dependent marginally.