Statistics and Probability Dictionary

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Binomial Experiment

A binomial experiment (also known as a Bernoulli trial) is a statistical experiment that has the following properties:

  • The experiment consists of n repeated trials.
  • Each trial can result in just two possible outcomes. We call one of these outcomes a success and the other, a failure.
  • The probability of success, denoted by p, is the same on every trial.
  • The trials are independent; that is, the outcome on on trial does not affect the outcome on other trials.

Here is an example of a binomial experiment. You flip a coin 2 times and count the number of times the coin lands on heads. This is a binomial experiment because:

  • The experiment consists of repeated trials. We flip a coin 2 times.
  • Each trial can result in just two possible outcomes - heads or tails.
  • The probability of success is constant - 0.5 on every trial.
  • The trials are independent; that is, getting heads on one trial does not affect whether we get heads on other trials.
See also:   Statistics Tutorial: Binomial Probability | Binomial Calculator