Binomial Probability Calculator

Binomial Probability Formula:
ƒ(x;n,p)=n!x!(nx)! px(1p)nxEnter Probability of Success(p)=
Enter Number of success(x)=
Enter Number of trials(n)=

Binomial probability =


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

How to Use the Binomial Probability Calculator?

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

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

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

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

What is Meant by the Binomial Probability?

In Mathematics, the binomial probability is defined as the probability of an experiment which results in exactly two possible outcomes, which is commonly known as the binomial experiment. The binomial probability refers to the probability of exactly x success for the n repeated trials. The binomial probability formula is given as

\(\begin{array}{l}b(x:n,p) = ^{n}C_{x}p^{x}q^{n-x}\end{array} \)


n is the number of trials

p is the probability of success

q is the probability of failure

x is the number of success

b is the binomial probability


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