# conditional probability

conditional probabilitynoun

The probability that an event will occur, given that one or more other events have occurred.

## conditional-probability

Noun

(*plural* conditional probabilities)

- The probability that an event will take place given the restrictive assumption that another event has taken place, or that a combination of other events has taken place. (Mathematically, the definition would be that the conditional probability of
*B*given*A*is equal to the joint probability of*A*and*B*divided by the probability of*A*.)

Usage notes

- The "probability of event
*B*given event*A*" can be represented symbolically as . - The "probability of event
*B*given events*A*and*C*" can be represented symbolically as .