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.
- The number of trials is fixed, 30, and each trial is independent of the other
- The outcome can only be a head or a tail in each trial
- The probability of getting a head is the same as the probability of getting a tail. So, its a binomial experiment
Video Examples: Binomial Experiments
Solved Example on Binomial Experiment
Ques: Choose whether the following is a binomial experiment. "Sandra rolled a 6-sided number cube until a 3 appeared."
Corrected Answer: B
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.