# Bernoulli trials

### plural noun Mathematics.

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.

## RELATED CONTENT

What’s The Difference Between Being “Charged,” “Convicted” And “Sentenced” For A Crime?Today, former Oakland, California, transit police officer Johannes Mehserle received the minimum possible sentence in the controversial death of a teenager on January 1, 2009. The incident and subsequent trial have prompted outrage and violent protests. Today’s decision brings attention to the legal meanings of three verbs : “charge,” “convict,” and “sentence.” They appear in the news constantly, but do you know what each term actually describes? Let’s begin …

## Origin of Bernoulli trials

First recorded in 1950–55; named after Jakob Bernoulli

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

## Bernoulli trial

### noun

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 for Bernoulli trial

named after Jacques Bernoulli

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## 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).

The American Heritage® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.