# joint probability

## English[edit]

### Noun[edit]

**joint probability** (*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

#### Usage notes[edit]

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