Probability Addition Rule Calculator

Enter p(a).
Enter p(b).
Enter p(a and b).
Math

Calculate probability addition rule with explicit inputs and a worked example.

Formula

P(A or B) = P(A)+P(B)−P(A and B)

Example Calculation

Example inputs
  • P(A): 0.5
  • P(B): 0.4
  • P(A and B): 0.2

P(A)=0.5, P(B)=0.4 and intersection 0.2 gives union 0.7.

Frequently asked questions

How do I use this calculator?

Enter p(a), p(b), p(a and b). The result updates automatically. Use Reset to restore the example values.

What method does it use?

P(A or B) = P(A)+P(B)−P(A and B). Follow the units and definitions shown with the inputs to apply this relationship consistently.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.