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Binomial Distribution Calculator

Number of trials, n :

Probability of Success per trial, P :

Number of Successes, x :




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


The Binomial Distribution Calculator an online tool which shows Binomial Distribution for the given input. Byju's Binomial Distribution Calculator is a tool which makes calculations very simple and interesting. If an input is given then it can easily show the result for the given number.

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 total number of events where p signifies the probability of success per trial. Byju’s binomial distribution calculator is an online tool which gives the probability distribution of a set of data in short span of time. 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 trail must be independent of each other.
  • > And the success of probability must remain the same for each trail.
For example, if a coin is tossed for 12 times, then what is the probability of getting exactly 7 heads? In the above example, the total number of trials i.e. n is 12 and the number of successful events, say x is 7. The probability of success per trial is 0.5. By feeding all these parameters into the available fields, you can find the answer using the calculatordetermine the probability of the occurrence using this calculator. Byju’s online binomial distribution calculator is one such robust tool which can give you the binomial probability easily. You can also determine or verify
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