The binomial variance calculator computes variance for the binomial distribution based on the probability of success and trials.

- First, input the probability of success (p) and the trials (n).
- Press the 'Calculate' button.
- As a result, the tool returns the variance (σ
^{2}) and calculation steps.

The variance for the binomial distribution is calculated using the following formula:

**σ ^{2} = n × p × (1−p)**

Where,

n = Number of Trials in the Experiment,

p = Probability of Success.

Let's take an example.

Suppose, the probability of success is 0.34 and the number of trials is 23. Calculate the binomial variance for the given values.

Here,

p = 0.34,

n = 23.

Now put values in the formula.

σ^{2} = 23 × 0.34 × (1 - 0.34)

σ^{2} = 7.82 × 0.66

**σ ^{2} = 5.161**