Compatibility
Excel 2007 (Compatibility)
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=BINOMDIST()
Returns the individual term binomial distribution probability.
Applies To:
Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=BINOMDIST(number_s,trials,probability_s,cumulative)
Hover argument names in the table for details.
Output typeNumber
Popularity15 / 100
VolatileNo
Dynamic ArrayNo
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◧ Arguments
| Argument | Type | Required | Description |
|---|---|---|---|
number_s |
Number | Required | The number of successes in trials. |
trials |
Number | Required | The number of independent trials. |
probability_s |
Number | Required | The probability of success on each trial. |
cumulative |
Logical | Required | 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. |
▣ Examples
▦ Data
| Cell | Value | Description |
|---|---|---|
A2 |
6 | Number of successes in trials |
A3 |
10 | Number of independent trials |
A4 |
0.5 | Probability of success on each trial |
A5 |
6 | Number of successes in trials |
A6 |
10 | Number of independent trials |
A7 |
0.5 | Probability of success on each trial |
Probability of exactly 6 of 10 trials being successful.
=BINOMDIST(A2,A3,A4,FALSE)
Result:
0.2050781
§ 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.
- If x = number_s, n = trials, and p = probability_s, then the binomial probability mass function is: where: is COMBIN(n,x).
- If x = number_s, n = trials, and p = probability_s, then the cumulative binomial distribution is:
✦ Tips
- This function has been replaced with one or more new functions that may provide improved accuracy and whose names better reflect their usage. Although this function is still available for backward compatibility, you should consider using the new functions from now on, because this function may not be available in future versions of Excel.
- Number_s and trials are truncated to integers.
- If x = number_s, n = trials, and p = probability_s, then the binomial probability mass function is: where: is COMBIN(n,x).
- If x = number_s, n = trials, and p = probability_s, then the cumulative binomial distribution is:
⚠ Common Errors
#VALUE!
If number_s, trials, or probability_s is nonnumeric, BINOMDIST returns the #VALUE! error value.
Fix: مطمئن شوید هر سه آرگومان عدد هستند و موارد متنی یا خانههای خالی را اصلاح کنید.
#NUM!
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.
Fix: Put the inputs within the allowed range
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