We can use **BINOM.Dist function** to calculate binomial distribution probably for a range of successes from a number of trials. The Binomial Distribution is a statistical measure used in displaying the probability of a specific number of successes from a particular number of independent trials. For example, we can use the Excel binomial distribution to calculate for the number of heads we can get in 100-coin tosses.

*Figure 1 – Example of binomial distribution in Excel*

**Binomial Distribution Formula**

The syntax of the **BINOM.DIST function** is:

**=BINOMDIST(number_s, trials, probability_s, cumulative)**

Where

**Numbers_s –**the number of successes we wish to calculate a probability**Trials –**the number of independent trials**Probability_s****–**the probability of success in one trial**Cumulative –**the logical argument that specifies if we wish to calculate for the probability mass function or cumulative distribution function. This argument can have:**+ TRUE**for cumulative distribution function and**+ FALSE**for probability mass function.

**How to do Binomial distribution**

We can either calculate for the binomial distribution using cumulative distribution function or probability mass function. In this tutorial, we will do both using a single hypothetical data set.

We can set up a hypothetical data table as shown below:

*Figure 2 – Setting up data for Excel Binomial distribution*

1. We will calculate for **Binomial distribution** using cumulative distribution function

a. We will enter the description in **Cell B10** and insert the formula below in **Cell C10.**

**=BINOM.DIST(C4,C5,C6,TRUE)**

*Figure 3 – How to Use Binomial Distribution*

- We will get the result below

*Figure 4 – Binomial distribution** using Cumulative Distribution Function*

2. Now, we will calculate the binomial distribution using probability mass function

b. We will enter the description in **Cell B11** and insert the formula below in **Cell C11**

**=BINOM.DIST(C4,C5,C6,FALSE)**

*Figure 5 – Using the BINOM.DIST function*

- We will get the result below

*Figure 6 – Using Probability Mass Function for Binomial distribution*

**Note**

We can get one of these errors when carrying out the Excel Binomial function

- #VALUE – this happens when the number of probability argument or trials is non-numeric.
- The BINOM.DIST is different from the BINOMDIST and can be found in Excel 2010 and higher. We use BINOM.DIST function because it has improved accuracy.