# What is a Binomial Experiment? Definition and Examples

What is a binomial experiment? A binomial experiment is an experiment that has the following features:

- The experiment has repeated trials

- Each trial has two possible outcomes. One of these two outcomes is called a success and the other is called a failure.

- The probability of success is the same for each trial.

## Examples of binomial experiments

**Example 1**

Tossing a die fifteen times in order to see how many times the die will land on 4 is a binomial experiment.

- The experiment has repeated trials. In this case, the number of trials is fifteen.

- Each trial can either result in a success (The die lands on 4) or a failure (The die lands on 1, 2, 3, 5, or 6).

- The probability of success is always 1 / 6 each time the die is tossed.

**Example 2**

Guessing the answers to ten questions on a true or false test is a binomial experiment.

- The experiment has repeated trials. In this case, the number of trials is ten.

- Each trial can either result in a success (The answer is correct) or a failure (The answer is incorrect).

- The probability of success is always 1 / 2 each time you guess on a question.

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