# Bernoulli trial

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## Bernoulli trial

n. Statistics
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.

[After Jakob Bernoulli.]

## Bernoulli trial

n
(Statistics) 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 distribution. See also binomial experiment, geometric distribution
[named after Jacques Bernoulli]
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Consider a series of n Bernoulli trials with probability of success p in every trial (q = 1 - p).
a] before the first occurrence of a success must be estimated under geometric sampling, that is, through the number of Bernoulli trials before the first success; on the other hand, the binomial parameter [p.
of Utah)also accommodates single-semester graduate courses as he covers the basics in terms of classical probability, including discrete and conditional probability, independence, discrete distributions, absolutely continuous distributions, expectations and variance, as well as Bernoulli trials, measure theory, integration, product spaces, the central limit theorem, martingales, Brownian motion, and stochastic integration.
Thus, each key can be viewed as an infinite sequence of Bernoulli trials.
The probability density function that comes from Bernoulli trials is the binomial pdf, which gives the probability, p, of r successes in n trials of an experiment.

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