Conditional Probability Calculator

Enter an intersection probability and the conditioning-event probability to calculate conditional probability with the formula shown.

P(A∩B)

P(B)

60%P(A|B)

P(A|B)=P(A∩B)/P(B)

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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Conditional probability consistency & reverse intersection solve

Calculate P(A|B), optionally calculate P(B|A), compare the observed intersection with the independence baseline, and reverse-solve the intersection for a target conditional probability.

P(A ∩ B)P(B)P(A), optionalTarget P(A|B)

—P(A|B)

—P(B|A)

—Independent intersection

—Intersection gap

Ready.

Check	Formula	Value	Status

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 Conditional Probability Calculator

Enter an intersection probability and the conditioning-event probability to calculate conditional probability with the formula shown.