Research Workbench

Zero-event upper probability limit

Bound an event probability after zero events using an exact one-sided binomial limit.

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The starting values are hypothetical. Use aggregate or synthetic inputs only.

Calculation results

Upper probability limit
0.02951305
Trials with zero events
100

How to interpret the output

Use only when all outcomes are observed and zero events occurred across independent equal-risk trials. Solve (1−p)^n=1−confidence. This one-sided upper bound depends on the confidence level.

Method reference