Binomial Experiment

Definition of Binomial Experiment

• A binomial experiment is an experiment with a fixed number of independent trials.
• In a binomial experiment each trial has exactly two outcomes.
• The probability of each outcome in a binomial experiment remains the same for each trial.

Examples of Binomial Experiment

• Flip a coin 30 times to see how many heads you get.

Here,

1. the number of trials is fixed, 30, and each trial is independent of the other
2. the outcome can only be a head or a tail in each trial
3. the probability of getting a head is the same as the probability of getting a tail. So, its a binomial experiment.

Solved Example on Binomial Experiment

Choose whether the following is a binomial experiment. "Sandra rolled a 6-sided number cube until a 3 appeared."

Choices:

A. Yes

B. No

Corrected Answer: B

Solution:

Step 1: Sandra rolled the number cube until she saw a 3. So the number of trials is not fixed. So, its not a binomial experiment.

                                               

Related Terms for Binomial Experiment

• Probability
• Trial
• Independent Trial
• Outcome

Additional Links for Binomial Experiment

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