# Bernoulli Trial Definition

noun

An experiment having only two possible outcomes, usually denoted

*success*and*failure,*with the properties that the probability of occurrence of each outcome is the same in each trial and the occurrence of one excludes the occurrence of the other in any given trial.American Heritage

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other

A random event in which one of two possible outcomes can occur (usually denoted

*success*or*failure*), with the properties that the probability of each outcome is the same in each trial and that the outcome of each trial is independent of the outcomes of the other trials. If the probability of success is*p,*the probability of failure is 1 −*p.*The flip of a coin is a Bernoulli trial (where the probability of both success and failure is 0.5), as is the roll of a die (where success might be arbitrarily defined as rolling a six and failure as rolling any other number, with the probability of success being 0.167 and the probability of failure 0.833).American Heritage Science

A random event that has three important characteristics. Its result must be a success or failure; the probability of a success must be the same for all trials, and the outcome of each trial must be independent of the other trial’s outcomes. A coin toss would meet the requirements of a Bernoulli trial.

Webster's New World Finance

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## Origin of Bernoulli Trial

After Jakob

**Bernoulli**From American Heritage Dictionary of the English Language, 5th Edition

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