How it works
For independent equal-probability trials, P(at least one success) = 1−(1−p)^n.
Input definitions
- Independent success probability per trial
- Enter the value in the labeled unit.
- Number of trials
- Enter the value in the labeled unit.
A worked example
- Independent success probability per trial
- 0.1
- Number of trials
- 10
Assumptions & limits
Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.
Sources & review
Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.
Method updated 2026-10-18. Content checked against the stated method and examples. Our verification approach.
Common questions
What if the trials are dependent?
The formula requires independence and the same success probability on every trial. Dependent events require a model for their joint probabilities.
How does Probability of at least one success work?
For independent equal-probability trials, P(at least one success) = 1−(1−p)^n.
What should I check before using Probability of at least one success?
Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.