Cumulative probability

The chance of seeing an event at least once across N attempts: P(≥1) = 1 − (1 − p)^N.

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Usage example

With p=1/16 per run, after 20 runs the chance of any unique is 1 − (15/16)^20.

Notes & caveats

Cumulative probability rises quickly at first and then tapers; charts help visualize realistic streaks.

See also

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