Independent Trials
Definition
Independent trials refer to a series of events or experiments where the outcome of one trial does not affect the outcome of any other trial. Each trial is unaffected by previous or future trials.
Analogy
Imagine flipping a fair coin multiple times. Each time you flip the coin, it has an equal chance of landing on heads or tails, regardless of what happened in previous flips. The outcome of each flip is independent of the others.
Related terms
Success: In statistics, success refers to a desired outcome or event that we are interested in observing or measuring.
Failure: Failure is the opposite of success and refers to an undesired outcome or event that we are not interested in observing or measuring.
Probability: Probability is a measure that quantifies the likelihood of an event occurring. It ranges from 0 (impossible) to 1 (certain).
"Independent Trials" appears in:
Study guides (1)
Practice Questions (5)
What is the probability of getting exactly 3 successes in 5 independent trials, given a probability of success of 0.4?
What is the probability of getting exactly 2 successes in 6 independent trials, given a probability of failure of 0.1?
What is the probability of getting at most 2 successes in 4 independent trials, given a probability of success of 0.6?
What is the probability of getting more than 3 successes in 6 independent trials, given a probability of success of 0.8?
What is the standard deviation of a binomial random variable representing the number of successes in n independent trials with probability of success p?
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