## Excel PROB Function

### Description

The Excel PROB function returns the probability that values in a range are between two limits, which is frequently used to estimate business losses or used by a risk manager to analyze the financial probability.

Formula syntax

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

Arguments

 x_range: Required, the range of numeric values of x with which there are associated probabilities. prob_range: Required, the set or array of probabilities that are associated with values in x_range. The array must be in the same length as x_range array, and the values in prob_range must add up to 1. lower_limit: Optional, the lower boundary of the value for which you want a probability. upper_limit: Optional, the upper boundary of the value for which you want a probability.

### Returns

PROB function returns a numeric value.

### Remarks

1. Errors appear when

• Any value in prob_range ≤ 0 or any value in prob_range > 1, PROB function returns the #NUM error value.
• The sum of values in prob_range is not equal to 1, PROB function returns the #NUM error value.
• X_range and prob_range have different numbers of data points, PROB function return the #N/A error value.

2. if upper_limit is omitted, PROB function returns the probability that values in x_range are equal to lower_limit.

### Version

Excel 2007 and later versions

### Usage and Examples

Basic usage

Supposing a table that contains the scores, the chances of getting each score, and the probabilities of getting each score as below screenshot shown:

To get the probability of getting a score higher than 8 based on the table, please use the PROB function as below:

=PROB(\$B\$3:\$B\$12,\$D\$3:\$D\$12,8,10)

Press Enter key to get the probability.

#### Other Functions:

• Excel POISSON Function
The Excel POISSON function returns the Poisson distribution which is used to predict the number of events occurring over a specific time.

• Excel FDIST Function
The Excel FDIST Function returns the (right-tailed) F probability distribution which is usually used to measure the degree of diversity between two data sets.

• Excel EXPON.DIST Function
EXPON.DIST function used in Excel 2010, returns the exponential distribution based on the given x value and the parameter of the distribution.

• Excel F.DIST Function
The Excel F.DIST function returns the F probability distribution which is usually used to measure the degree of diversity between two data sets.

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