An experiment is said to be binomial in nature if and only if it obeys the following conditions which include :
- Each trial must be independent
- Only two possible outcomes
- Probability of success on each trial is the same.
When an experiment obeys these conditions, then it can be adjudged to be a binomial experiment.
- The probability of success on each trial must the same, this also allows the probability of failure to be the same throughout the experiment since there are only two possible outcomes on each trial and the outcomes are equally likely.
- Independence in a binomial experiment entails that, each individual trial does not depend on the result or outcome of the previous trial, since the probability of success is constant all through the experiment, then independence of each trial is a necessary prerequisite for a binomial experiment.
Hence, a binomial experiment must meet the four listed requirements.
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