A Bernoulli trial is a random experiment with exactly two possible outcomes: “success” and “failure.” Each trial is independent, meaning the outcome of one trial does not affect the outcome of another, and the probability of success remains constant across trials. Bernoulli trials are the foundation for many statistical methods, especially those involving binary outcomes.
For example, flipping a fair coin is a Bernoulli trial if we define “heads” as success and “tails” as failure. Each flip has only two possible outcomes, the probability of success (getting heads) stays the same at 0.5, and one flip doesn’t affect the next.
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