ClarityHow to use this tool
- Enter first success trial, success probability.
- Select Calculate to view the result.
- Check the method and assumptions below before using the result.
Input reference and sample values
Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.
| Input | Format and units | Sample |
|---|---|---|
| First success trial | Whole numbers only. Minimum: 1. Maximum: 100000. | 3 |
| Success probability | Numeric value. Zero or positive. Maximum: 1. | 0.2 |
Result for these sample inputs
0.128 probability
Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.
The method, explained
P(X = k) = (1 − p)^(k − 1) p.
Using first success trial = 3, success probability = 0.2, the result is 0.128 probability. Change these example inputs to match your task; use the method above to check each step.
What to keep in mind
Independent trials with constant success probability. A descriptive or probability calculation under the stated assumptions. Check the sample design and model before interpreting results.
Methodology maintained by ClarityKit. How these tools are built and checked.