The 4 Characteristics of a Binomial Experiment

  1. There must be a fixed number of trials

    • This number of trials is denoted by $n$
  2. Each trial can have only two outcomes

    • These outcomes are called success and failure
  3. The outcomes of each trial must be independent of each other

  4. The probability of a success must remain the same for each trial

    • This probability of success is denoted by $p$.
    • This, of course, forces the probability of failure to remain the same for each trial as well, which we denote by $q$.