# Bernoulli trial

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## Ber·noul·li tri·al

(bĕr-nū'lē),
A single random event for which there are two and only two possible outcomes that are mutually exclusive and have a priori fixed (and complementary) probabilities of resulting. The trial is the realization of this process. Conventionally one outcome is termed a success and is assigned the score 1, the other is a failure and has the score 0. Thus the outcome might be 0 (no heads, one tail) or 1 (1 head, no tails).
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The outcome of each of the T x R Bernoulli trials (all of which have success probability p) was simulated using NAG subroutine G05DZF (Numerical Algorithms Group, 1999), and 20,000 such tables were generated per simulation condition.
Actually, a Poisson distribution is not described by events with two possible outcomes and a constant probability of success as are Bernoulli trials.
Thus, the expected number of successes, np, for Bernoulli trials corresponds to lm (equation 4.
Consider an infinite sequence of Bernoulli trials with probability of success p in every trial.
Binomial pdf The probability density function that comes from Bernoulli trials.

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