Calculatorism

Probability Union Calculator

Compute P(A∪B) from P(A), P(B) and P(A∩B).

Input Data

Input P(A).
Input P(B).
Input P(A∩B).

Results

0.7
P(A∪B) = P(A) + P(B) − P(A∩B).

At a glance:Probability Union Calculator: enter parameters to compute results; complements related calculators.

Formula

P(A∪B) = P(A) + P(B) − P(A∩B).

How to Use

  1. Enter P(A), P(B) and intersection P(A∩B).
  2. It returns the union probability.

Case Studies

P(A)=0.5,P(B)=0.3,P(A∩B)=0.1 → 0.7

0.5 + 0.3 − 0.1 = 0.7.

FAQ

What if events are mutually exclusive?

Then P(A∩B)=0 and P(A∪B) = P(A)+P(B).

Related Tools

References

Content review: Calculatorism Science Team. Formula and numeric tests verified; results for reference only.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Probability Union Calculator（/statistics/probability-union）。