Smart Math guide · Statistics & Probability

Add Probabilities Without Double Counting

For events A and B, P(A or B)=P(A)+P(B)−P(A and B).

All levelsWorked example includedSelf-check included
The method

How to use it

  1. Find each individual probability.
  2. Find the overlap.
  3. Subtract the overlap once.
Worked example

See it in action

If P(A)=0.5, P(B)=0.4, overlap=0.2, then union=0.7.

Check your thinking

How to verify it

The union cannot be smaller than either event alone.