BINOM.DIST Function
BINOM.DIST Function

BINOM.DIST Function

Find the probability of a certain number of successes in a fixed number of yes-or-no trials.

ExcelClash Team
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Summary

BINOM.DIST finds the probability of getting a certain number of successes in a fixed number of trials. It works best when every trial has only two possible outcomes, such as success or failure, click or no click, pass or fail.

Microsoft describes it as a binomial distribution function for independent trials with a constant probability of success. So this function makes sense only when the trial setup stays consistent from start to finish.

BINOM.DIST is more specialized than everyday spreadsheet statistics because it models probability rather than summarizing observed values. It becomes useful when the workbook needs to estimate the likelihood of a certain number of successes across repeated yes/no trials.

Purpose

Model yes-or-no trials

Returns the probability of a chosen number of successes when the number of trials is fixed.

Return Value

Probability as a decimal

The result is a value from 0 to 1, and you can format it as a percentage if that is easier to read.

Syntax

=BINOM.DIST(number_s, trials, probability_s, cumulative)

number_s is the success count you want to test, trials is the total number of attempts, probability_s is the chance of success on each trial, and cumulative decides whether you want one exact result or the running total up to that result.

Arguments

  • number_s - [required] The number of successes you want to measure.
  • trials - [required] The total number of independent trials.
  • probability_s - [required] The probability of success on each trial. This must be between 0 and 1.
  • cumulative - [required] Use FALSE for the exact probability and TRUE for the probability of that number or fewer.

BINOM.DIST vs Other Functions

Function Main use Best when
BINOM.DIST Binomial probability You have a fixed number of success or failure trials.
NORM.DIST Normal distribution You are working with a bell-curve model instead of simple yes-or-no trials.
POISSON.DIST Event counts over an interval You want to model how often something happens in time or space.
HYPGEOM.DIST Sampling without replacement You are drawing from a limited group without putting items back.

The last argument matters a lot here. FALSE gives the probability of exactly the number you entered. TRUE gives the cumulative probability from 0 up to that number.

Using the BINOM.DIST Function

This function is useful when the question sounds like, "What is the chance of getting this many successes out of this many tries?" That can be a review rate, a defect count, a set of correct answers, or any other setup where each trial ends in either success or failure.

It also helps to read the result in plain language before moving on. If Excel returns 0.12, that means the outcome should happen about 12% of the time under the assumptions you gave the function. When that number is very small, the result may be unusual enough to investigate.

  • Use it for response rates, defect counts, and pass or fail results.
  • Use FALSE for one exact success count.
  • Use TRUE when you need "at most" that many successes.

Example 1 - Find an exact probability

Use FALSE when the question is about one specific success count.

This is a useful starting example because it shows the “exactly this many” version of the function. The formula is not asking about smaller counts, only one exact outcome.

=BINOM.DIST(5,10,0.5,FALSE) // Returns the chance of exactly 5 successes.
Check Answer
Challenge #1
Target: Sheet1!C1

Find the probability of an exact success count.

Example 2 - Find the cumulative probability

Use TRUE when you want the probability of that result or any smaller success count.

This helps the learner see the biggest difference in the function: the last argument completely changes whether the result is exact or cumulative.

=BINOM.DIST(2,10,0.5,TRUE) // Finds the chance of getting 0, 1, or 2 successes.
Check Answer
Challenge #2
Target: Sheet1!C2

Find the cumulative probability up to the limit.

Example 3 - Check a review result

This one measures the chance of an exact outcome when the success rate is already known.

That makes the example practical for things like reviews, pass rates, or quality checks where you want to know how likely one specific result is under the expected success rate.

=BINOM.DIST(8,10,0.7,FALSE) // Returns the chance of exactly 8 positive reviews.
Check Answer
Challenge #3
Target: Sheet1!C3

Find the exact probability for the review example.

Example 4 - Check a small defect risk

A cumulative result helps when you want to know the probability of staying at or below a defect limit.

This is useful because many real decisions are based on a limit rather than one exact count. The formula is checking whether the process stays within an acceptable range of defects.

=BINOM.DIST(3,50,0.02,TRUE) // Returns the chance of 3 or fewer errors.
Check Answer
Challenge #4
Target: Sheet1!C4

Find the cumulative risk for the quality check.

Conclusion Recap

BINOM.DIST is useful when your situation is built from repeated yes or no results, like success or failure, and the setup stays the same each time. This lesson showed that the function is really about one main question: what is the probability of getting this many successes out of a fixed number of tries?

The biggest choice in the formula is the last argument. Use FALSE when you want one exact result, and use TRUE when you want that result or anything smaller. Once that difference is clear, the examples become much easier to read.

  • Main job: BINOM.DIST returns a binomial probability for a fixed number of trials.
  • Exact vs cumulative: Use FALSE for exactly that many successes and TRUE for that many or fewer.
  • Best fit: Use it when each trial has only two outcomes and the success rate stays constant.
  • Keep inputs valid: The probability must be between 0 and 1.
  • Good use cases: Response rates, defect counts, and pass or fail results all fit well.
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