1. Move the first slider to change the radius of A.
2. Move the second slider to change the radius of B.
3. Try dragging and dropping the circles to change how much they overlap. See how the different probability values change.
4. Click "Show Explanation" and scroll down to learn more.
P(A) = …
P(B) = …
P(A ∩ B) = …
P(A ∪ B) = …
P(A | B) = …
P(B | A) = …
Bayes' Law
In probability theory and statistics, Bayes' theorem (alternatively Bayes' law or Bayes' rule) describes the probability of an event, based on conditions that might be related to the event. Bayes' Law is stated mathematically as the following: