Definition: ConditionalProbability

Definition: Conditional Probability

The conditional probability of \(A\) given \(B\) is written \(P(A | B)\). Conditional probability is used to compute the probability of one event conditional on knowing that another even occurred.

The probability of \(A\) given \(B\) is \(P(A | B) = \frac{P(A \text{ and } B)}{P(B)}\) where \(P(B) \neq 0\).

Source: These definitions are taken from OpenStax Introductory Statistics and Modeling the Dynamics of Life by Adler.