Joint probability

A joint probability is the chance that two events both happen, written P(A and B), so the same individual or trial has to meet both conditions.

A joint probability describes the intersection P(AB)P(A \cap B), so both conditions have to be met by the same individual or trial. In a two-way table you find it by dividing an interior cell count by the grand total, never by a row or column total. Among 200 surveyed students, 45 are seniors who drive to school, so P(senior and drives)=45/200=0.225P(\text{senior and drives}) = 45/200 = 0.225. Adding all the joint probabilities across a row gives the marginal probability for that row.

Where this comes up

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