# PROB function: Description, Usage, Syntax, Examples and Explanation

## What is PROB function in Excel?

PROB function is one of Statistical functions in Microsoft Excel that returns the probability that values in a range are between two limits. If upper_limit is not supplied, returns the probability that values in x_range are equal to lower_limit.

## Syntax of PROB function

PROB(x_range, prob_range, [lower_limit], [upper_limit])

The PROB function syntax has the following arguments:

**X_range:**The range of numeric values of x with which there are associated probabilities.**Prob_range:**A set of probabilities associated with values in x_range.Lower_limit Optional. The lower bound on the value for which you want a probability.**Upper_limit(Optional):**The optional upper bound on the value for which you want a probability.

## Explanation of PROB function

- If any value in prob_range ≤ 0 or if any value in prob_range > 1, PROB returns the #NUM! error value.
- If the sum of the values in prob_range is not equal to 1, PROB returns the #NUM! error value.
- If upper_limit is omitted, PROB returns the probability of being equal to lower_limit.
- If x_range and prob_range contain a different number of data points, PROB returns the #N/A error value.

## Example of PROB function

Steps to follow:

1. Open a new Excel worksheet.

2. Copy data in the following table below and paste it in cell A1

Note: For formulas to show results, select them, press F2 key on your keyboard and then press Enter.

You can adjust the column widths to see all the data, if need be.

Data |
||

Value of x | Probability | |

0 | 0.2 | |

1 | 0.3 | |

2 | 0.1 | |

3 | 0.4 | |

Formula |
Description |
Result |

=PROB(A3:A6,B3:B6,2) | Probability that x is 2. | 0.1 |

=PROB(A3:A6,B3:B6,1,3) | Probability that x is between 1 and 3. | 0.8 |