what more can you tell me about the trial mentioned above?
It is a theory of probability and statistics based on the binomial theory where a random experiment can only have two outcomes-success or failure, and the probability of success is the same every time the experiment is carried out.
Bernoulli trial
In the theory of probability and statistics, a Bernoulli trial (or binomial trial) is a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted. It is named after Jacob Bernoulli, a 17th-century Swiss mathematician, who analyzed them in his "Ars Conjectandi" (1713).

where is e used in the real world Apart from its presence in the alphabetic order, it is a mathematical constant approximately equal to 2.71828 how is it associated with trials of bernoulli? With regard to its application in probability theory, it is an example of a Bernoulli trial process. what is this constant otherwise known as? Euler's number what are its optimal planning problems? UNANSWERABLE
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Bernoulli trial [SEP] Introduction
In the theory of probability and statistics, a Bernoulli trial (or binomial trial) is a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted. It is named after Jacob Bernoulli, a 17th-century Swiss mathematician, who analyzed them in his "Ars Conjectandi" (1713). The mathematical formalisation of the Bernoulli trial is known as the Bernoulli process. This article offers an elementary introduction to the concept, whereas the article on the Bernoulli process offers a more advanced treatment. Since a Bernoulli trial has only two possible outcomes, it can be framed as some "yes or no" question.