Bayes’ Theorem

What is Bayes’ theorem?

Bayes’ theorem describes the probability of an event based on prior knowledge of conditions that might be related to the event. Named after English statistician Thomas Bayes, it provides a way to revise existing predictions or theories when new evidence becomes available. Bayes’ theorem is used in many fields, from medicine to economics and artificial intelligence to psychology.

Bayes’ theorem can be stated as follows:

Here:

• $P(A|B)$ is the probability of event $A$, given that event $B$ has occurred.

• $P(B|A)$ is the probability of event $B$, given that event $A$ has occurred.

• $P(A)$ is the probability of event ...