Math

Probability Calculator

Calculate intersection, union and complement probabilities for two independent events.

Academic mathematics calculators

Move between algebra, geometry, combinatorics, probability, statistics, powers and roots while studying related mathematical concepts.

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Probability Calculator is a study tool for working through the underlying mathematical relationship with validated numerical inputs.

How it works

Enter the required values. The calculator validates the inputs and applies the mathematical rule P(A∩B)=P(A)P(B); P(A∪B)=P(A)+P(B)−P(A)P(B).

The formula

P(A∩B)=P(A)P(B); P(A∪B)=P(A)+P(B)−P(A)P(B)

Variables: P(A) = Probability A (%); P(B) = Probability B (%).

Worked example

Example: P(A)=50%, P(B)=40% → P(A∩B)=20%, P(A∪B)=70%.

Frequently asked questions

What is this calculator useful for?

It is intended for checking exercises, exploring numerical examples, and understanding how changing the inputs changes the result.

Can I use decimal values?

Yes when the mathematical definition permits decimals. Inputs that violate the calculator's mathematical domain are rejected.

Last content reviewSeptember 25, 2026
Editorial reviewHe-Sab Editorial Review

Sources and references

These sources are used to verify terminology, formulas, and information related to this calculator.