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Bernoulli trial SUBST

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Since a Bernoulli trial has only two possible outcomes, it can be framed as some yes or no question.
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The probability of selecting a particle may be different during each Bernoulli trial.
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A random experiment that has exactly two (mutually exclusive) possible outcomes is known as a Bernoulli trial.
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It follows from the law of large numbers that the empirical probability of success in a series of Bernoulli trials will converge to the theoretical probability.
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It is the probability distribution of a certain number of failures and successes in a series of independent and identically distributed Bernoulli trials.
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An event defines a complementary event, namely the complementary set (the event "not" occurring), and together these define a Bernoulli trial: did the event occur or not?
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Gy's sampling theory uses a model in which the sample taking is represented by independent Bernoulli trials for every particle in the parent population from which the sample is drawn.
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The two possible outcomes of each Bernoulli trial are: (1) the particle is selected and (2) the particle is not selected.
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For example, a fair coin toss is a Bernoulli trial.
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Mathematically, this is a Bernoulli trial, as it has exactly two outcomes.
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