# Microsoft KB Archive/100121

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# Microsoft Knowledge Base

## Excel: Using the BINOMDIST() Function

Last reviewed: September 12, 1996
Article ID: Q100121

• Microsoft Excel for Windows, versions 4.0, 4.0a, 5.0
• Microsoft Excel for the Macintosh, version 4.0

## SUMMARY

The BINOMDIST() function returns the individual term binomial distribution probability.

When you use the BINOMDIST function, you make the following three assumptions:

• The outcome of each trial is only success or failure. -and-
• The trials are independent. -and-
• The probability of success is constant throughout the experiment.

The following is the syntax for the BINOMDIST() function,

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

where:

```   NUMBER_S is the number of successes in trials

TRIALS is the number of independent trials

PROBABILITY_S is the probability of success on each trial

CUMULATIVE is a logical value that determines the form of the
function
```

If cumulative is TRUE, then BINOMDIST() returns the cumulative distribution function, which is the probability that there are at most number_s successes; if FALSE, it returns the probability mass function, which is the probability that there are number_s successes.

If number_s <0 or number_s> trials, BINOMDIST() returns #NUM.

If probability_s <0 or probability_s> 1, BINOMDIST() returns #NUM.

For example, in a population of software engineers, 9 out of 10 recommend 5.25-inch disks. What is the probability of choosing two engineers at random and finding that neither of them recommends 5.25-inch disks?

To calculate the following values in a BINOMDIST() function,

```   number_s      = 0
trials        = 2
probability_s = 0.9
cumulative    = false
```

you would use the formula, BINOMDIST(0,2,0.9,false). This formula returns a result of 0.01 or 1%.

 KBCategory: kbusage KBSubcategory: Additional reference words: statistical statistics 4.00 4.00a 5.00 THE INFORMATION PROVIDED IN THE MICROSOFT KNOWLEDGE BASE IS PROVIDED "AS IS" WITHOUT WARRANTY OF ANY KIND. MICROSOFT DISCLAIMS ALL WARRANTIES, EITHER EXPRESS OR IMPLIED, INCLUDING THE WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. IN NO EVENT SHALL MICROSOFT CORPORATION OR ITS SUPPLIERS BE LIABLE FOR ANY DAMAGES WHATSOEVER INCLUDING DIRECT, INDIRECT, INCIDENTAL, CONSEQUENTIAL, LOSS OF BUSINESS PROFITS OR SPECIAL DAMAGES, EVEN IF MICROSOFT CORPORATION OR ITS SUPPLIERS HAVE BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES. SOME STATES DO NOT ALLOW THE EXCLUSION OR LIMITATION OF LIABILITY FOR CONSEQUENTIAL OR INCIDENTAL DAMAGES SO THE FOREGOING LIMITATION MAY NOT APPLY. Last reviewed: September 12, 1996 ©1997 Microsoft Corporation. All rights reserved. Legal Notices.