When to use this calculator
Only the part of the requested interval overlapping the distribution contributes to its probability.
Explore the probability & distributions calculators for other questions in this topic. For a related calculation, use the Covariance Calculator: Calculate sample covariance of two paired datasets.
PUTTING IT INTO PRACTICE
Uniform Distribution Probability: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| Distribution minimum | 0 |
| Distribution maximum | 10 |
| Interval lower bound | 2 |
| Interval upper bound | 5 |
| Result | 30 % |
- Check the input labels and enter the example values above.
- Apply the relationship: Probability (%) = overlap length/(maximum − minimum) × 100.
- The result is 30 %, rounded for display.
How to interpret your result
Assumes equal probability density throughout the finite distribution range.
A distribution model is an assumption about the process, not a guarantee about outcomes. Independence, constant probability and fixed interval definitions matter. Exactly-k probabilities differ from cumulative probabilities.
Frequently asked questions
Does exactly two successes mean two or more?
No. Exactly two counts only outcomes with two successes. Two or more is a cumulative probability covering several counts.
When is the uniform distribution probability calculator useful?
Only the part of the requested interval overlapping the distribution contributes to its probability.
How do I use the uniform distribution probability calculator?
Enter distribution minimum, distribution maximum, interval lower bound, interval upper bound. The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Probability (%) = overlap length/(maximum − minimum) × 100.
What should I check before using the result?
Assumes equal probability density throughout the finite distribution range.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
Further reading
For background on this topic, see NIST: probability distributions ↗. This is a topic reference, not an external review or endorsement of this tool.
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