BINOMDIST Function

Excel Functions › Compatibility

All versions (legacy) Compatibility

The Excel BINOMDIST function returns the individual-term binomial probability — the chance of a given number of successes in a fixed number of independent trials. It is the legacy name of BINOM.DIST, introduced in Excel 2010.


Quick answer:
=BINOMDIST(6,10,0.5,FALSE) P(exactly 6 of 10) ≈ 0.2051

Syntax

=BINOMDIST(number_s, trials, probability_s, cumulative)
ArgumentDescription
number_sRequiredThe number of successes in the trials.
trialsRequiredThe number of independent trials.
probability_sRequiredThe probability of success on each individual trial.
cumulativeRequiredTRUE for the cumulative probability (at most number_s successes); FALSE for the probability of exactly number_s successes.

How to use it

BINOMDIST models repeated yes/no trials with a fixed success probability. With cumulative set to FALSE you get the chance of exactly that many successes; with TRUE you get the chance of that many or fewer.

=BINOMDIST(6,10,0.5,FALSE) // exactly 6 of 10 ≈ 0.2051
=BINOMDIST(6,10,0.5,TRUE) // 6 or fewer ≈ 0.8281

A classic use is fair-coin questions (10 flips, probability 0.5) or pass/fail quality checks. The companion CRITBINOM goes the other way — finding the smallest count whose cumulative probability clears a threshold.

Use BINOM.DIST instead: Excel 2010+ uses =BINOM.DIST(6,10,0.5,FALSE) with identical arguments. BINOMDIST remains only for backward compatibility.

Try it: interactive demo

Live demo

Pick a BINOMDIST example to see the formula and its result.

Result:

Practice workbook

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Frequently asked questions

What is the modern replacement for BINOMDIST?
BINOM.DIST, added in Excel 2010, with exactly the same four arguments. =BINOM.DIST(6,10,0.5,FALSE) equals =BINOMDIST(6,10,0.5,FALSE).
What does the cumulative argument do?
FALSE returns the probability of exactly number_s successes; TRUE returns the probability of number_s or fewer successes (the running total).
When should I use BINOMDIST?
Whenever you have a fixed number of independent trials, each with the same success probability — coin flips, defect rates, survey yes/no responses. New workbooks should call BINOM.DIST.
How is it related to CRITBINOM?
CRITBINOM (now BINOM.INV) is the inverse direction: it returns the smallest number of successes for which the cumulative binomial probability is at least a target value.

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Related functions: BINOM.DIST · CRITBINOM · BETADIST · EXPONDIST · FDIST