Binomial Distribution Calculator

Number of trials, n :

Probability of Success per trial, P :

Number of Successes, x :

Binomial Probability, b (x; n, P) =


Binomial Distribution Calculator is a free online tool that displays the binomial probability of the event. BYJU’S online binomial distribution calculator tool makes the calculation faster, and it displays the probability value in a fraction of seconds.

How to Use the Binomial Distribution Calculator?

The procedure to use the binomial distribution calculator is as follows:

Step 1: Enter the number of trials, success, and the probability of success per trial in the respective input field

Step 2: Now click the button “Calculate” to get the distribution

Step 3: Finally, the binomial distribution value for the given event will be displayed in the output field

What is Meant by Binomial Distribution?

In Mathematics, the binomial distribution is a type of probability distribution used in statistics which consists of a pair of possible outcomes. Also, in probability theory, the binomial distribution comes with two parameters n and p. The n represents the total number of events where p signifies the probability of success per trial. The probability distribution becomes a binomial probability distribution when it achieves certain parameters which are as follows,

  • Each trail can have only two outcomes or the outcomes that can be reduced to two outcomes. These outcomes can be either a success or a failure.
  • The trails must be a fixed number.
  • The outcome of each trial must be independent of each other.
  • And the success of probability must remain the same for each trail.



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