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  • is the trials occured.
  • is the success occured.


  • This function gives the probability value of the Binomial distribution.
  • A binomial experiment has the following characteristics:
  • 1.The experiment involves repeated trials.
  • 2.Each trial has only two possible outcomes - a success or a failure.
  • 3.The probability that a particular outcome will occur on any given trial is constant.
  • 4.All of the trials in the experiment are independent.
  • A binomial probability refers to the probability of getting EXACTLY r successes in a specific number of trials.
  • The number of trials refers to the number of attempts in a binomial experiment.
  • The number of trials is equal to the number of successes plus the number of failures.
  • When computing a binomial probability, it is necessary to calculate and multiply three separate factors:
  • 1. the number of ways to select exactly r successes,
  • 2. the probability of success (p) raised to the r power,
  • 3. the probability of failure (q) raised to the (n - r) power.
  • The formula for Binomial probability is:

or :

  • where n = number of trials,r = number of specific events you wish to obtain.
  • p = probability that the event will occur, q = probability that the event will not occur.(q = 1 - p, the complement of the event)


  1. BINOMIALPROBABILTY(5,3,0.4)=0.23040000000000005
  2. BINOMIALPROBABILTY(10,4,0.25)=0.1459980010986328
  3. BINOMIALPROBABILTY(12,11,0.75)=0.12670540809631348

Related Videos

Binomial Distribution

See Also