# joint probability

joint probabilitynoun

The probability that two or more specific outcomes will occur in an event.

## joint-probability

Noun

(*plural* joint probabilities)

- The probability distribution of a random variable whose sample space is the Cartesian product of the sample spaces of its (at least two) component random variables.
- The probability that two events will occur simultaneously.
- Given two events and in the same probability space with , the conditional probability of given is defined as the quotient of the unconditional joint probability of and , and the unconditional probability of .
^{WP}

- Given two events and in the same probability space with , the conditional probability of given is defined as the quotient of the unconditional joint probability of and , and the unconditional probability of .

Usage notes

- If and are two events, then their joint probability can be represented as .