At Least One Probability Calculator

Enter the per-trial probability and number of independent trials to calculate 1 − (1 − p)^n.

Success probability per trial

Independent trials

—Probability of at least one success

1 − (1 − p)^n

Core describe → test → interpret workflows

Use descriptive context first, choose the method that matches the design, then keep inputs, settings and result evidence reproducible instead of copying a p-value without its analysis recipe.

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Complement method with target-trial reverse solve

Use the complement rule 1−(1−p)^n, show the probability of none and expected successes, and solve the minimum trial count needed to reach a target at-least-one probability.

Success probability pTrials nTarget at least one

—At least one

—None

—Expected successes

—Trials for target

Ready.

Trials	At least one	None	Expected successes

Interpret statistical results in context

Use plots and descriptive summaries before formal tests. Check the sampling/design assumptions that matter for the chosen method, report effect size and uncertainty where available, and avoid treating a threshold such as p < .05 as proof of importance, causation, or truth. Browser calculations are educational/planning utilities, not domain-specific professional advice.

How to use this At Least One Probability Calculator

Enter the per-trial probability and number of independent trials to calculate 1 − (1 − p)^n.