# How to use the BINOMDIST function

**What is the BINOMDIST function?**

The BINOMDIST function calculates the individual term binomial distribution probability, use this function when

- the success probability is constant through all trials
- you know the number of trials
- the outcome is either a success or failure
- each trial is independent of the other trials.

**What is the binomial distribution probability?**

The binomial distribution probability gives the likelihood of a specific number of successes occurring in a fixed number of independent trials, each having the same binary success/failure probability.

**What is the individual term binomial distribution probability?**

The individual term binomial distribution probability is the probability of exactly k successes in n trials with a given success probability p, calculated using combinations to determine the number of ways k successes can occur in those trials.

**What are combinations?**

A combination is a way of selecting items from a collection where the order of selection does not matter.

For example, if you have three fruits, say an apple, an orange, and a pear. There are three combinations of two that can be drawn from this set:

- apple and a pear
- apple and an orange
- pear and an orange

## BINOMDIST function Syntax

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

## BINOMDIST function Arguments

number_s |
Required. The number of successfulÂ tests. |

trials |
Required.Â How many independent tests. |

probability_s |
Required. The probability of success in each test. |

cumulative |
Required. A boolean value. TRUE -Â cumulative distribution function FALSE -Â probability mass function |

**What is cumulative binomial distribution?**

The cumulative binomial distribution function gives the probability that a binomial random variable with a given number of trials and success probability will take on a value less than or equal to a specified number of successes x.

**What is probability mass function?**

A probability mass function is a function that defines a discrete probability distribution by providing the probability that each of a countable number of possible discrete outcomes will occur for a random variable.

**What is a binomial random variable?**

A binomial random variable is a discrete random variable that represents the number of "successes" in a fixed number of independent binary trials, where each trial has the same probability of success.

**What are discrete probabilities?**

Discrete probabilities are individual separated probabilities assigned to each of a countable number of possible outcomes that sum to 1, like rolling a die where each number has its own exact probability, as opposed to continuous distributions.

## BINOMDIST function Example

Formula in cell C8:

## BINOMDIST function not working

The BINOMDIST function returns

- #VALUE! error value ifÂ
*number_s,Â trials*orÂ*probability_s*argument is non-numeric. - #NUM! error value if:
*number_sÂ*<= 0 (zero)*number_sÂ*>*trials**probability_sÂ*< 0 (zero)*probability_sÂ*> 1- A = B

*number_s *andÂ *trials *are converted into integers.

### Functions in 'Compatibility' category

The BINOMDIST function function is one of 21 functions in the 'Compatibility' category.

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