# BINOMDIST

Returns the individual term binomial distribution probability. Use BINOMDIST in problems with a fixed number of tests or trials, when the outcomes of any trial are only success or failure, when trials are independent, and when the probability of success is constant throughout the experiment. For example, BINOMDIST can calculate the probability that two of the next three babies born are male.

**Syntax**

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

**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.

**Remarks**

- Number_s and trials are truncated to integers.
- If number_s, trials, or probability_s is nonnumeric, BINOMDIST returns the #VALUE! error value.
- If number_s < 0 or number_s > trials, BINOMDIST returns the #NUM! error value.
- If probability_s < 0 or probability_s > 1, BINOMDIST returns the #NUM! error value.
- The binomial probability mass function is:
where:

is COMBIN(n,x).

The cumulative binomial distribution is:

**Example**

The flip of a coin can only result in heads or tails. The probability of the first flip being heads is 0.5, and the probability of exactly 6 of 10 flips being heads is:

`BINOMDIST(6,10,0.5,FALSE)`

equals 0.205078