Final answer:
A Bernoulli trial must have exactly two possible outcomes, so the statement regarding an experiment with more than two possible outcomes being a Bernoulli trial is false.
Step-by-step explanation:
The statement that the performance of an experiment with more than two possible outcomes is called a Bernoulli trial is False. By definition, a Bernoulli trial is an experiment that has exactly two possible outcomes, which are typically labeled as success and failure.
In contrast, a trial with more than two outcomes cannot be classified as a Bernoulli trial and may not fit the Bernoulli distribution or the binomial distribution, which is the result of multiple independent Bernoulli trials.
A key characteristic of a binomial experiment includes having only two possible outcomes per trial, with probabilities p for success and q for failure (where p + q = 1), and independent trials.
Note that these trials are identical and repeated a fixed number of times, denoted by n. This forms the basis for the binomial distribution, where the random variable X represents the number of successes across the trials.