Bernoulli Trials
Bernoulli trials are a sequence of experiments or situations that result in one of two outcomes: success or failure, often referred to as "yes" or "no," "win" or "lose." Each trial is independent, meaning the result of one does not affect the others. A classic example is flipping a coin—each flip has two possible outcomes. These trials are foundational in probability and statistics, enabling analysis of scenarios like games, surveys, or any testing situation where you're interested in the likelihood of specific outcomes occurring over multiple attempts.
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Bernoulli trials are experiments or situations where there are only two possible outcomes, often referred to as "success" and "failure." Examples include flipping a coin, where you can get heads or tails, or a quiz question that is either answered correctly or incorrectly. Each trial is independent, meaning the outcome of one does not affect the others. These trials form the basis for understanding probability in scenarios where events have binary results, allowing us to analyze situations involving random events systematically, such as predicting outcomes over multiple trials.