# Bernoulli trials

- repeated independent experiments having two possible outcomes for each experiment with the probability for each outcome remaining constant throughout the experiments, as tossing a coin several times.

## Origin of Bernoulli trials^{}

First recorded in 1950–55; named after Jakob Bernoulli

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

# Bernoulli trial

- statistics one of a sequence of independent experiments each of which has the same probability of success, such as successive throws of a die, the outcome of which is described by a binomial distributionSee also binomial experiment, geometric distribution

## Word Origin

named after Jacques Bernoulli

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
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# Bernoulli trial

- 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).

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