What Is the Multiplication Rule of Probability?

Answer: The multiplication rule of probability states that the probability of two events, A and B, occurring together is equal to the probability of B occurring multiplied by the conditional probability that A occurs given that B occurs.

The multiplication rule of probability states that the probability of the joint occurrence of two or more independent events is the product of their individual probabilities.

Mathematically, if A and B are two independent events, then the probability of both events occurring, denoted as P(A∩B), is given by:

P(A∩B) = P(A) × P(B)

This rule can be extended to more than two events. For example, if A, B, and C are three independent events, then the probability of all three events occurring is:

P(A∩B∩C) = P(A) × P(B) × P(C)

The multiplication rule is based on the assumption that the events are independent, meaning that the occurrence of one event does not affect the occurrence of the other events. If the events are dependent, the multiplication rule does not apply directly, and conditional probability may be used instead.