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Multiplication Rule for Probability

Related Topics:
Common Core (Statistics & Probability)
Common Core for Mathematics

Common Core: HSS-CP.B.8

Examples, solutions, videos, and lessons to help High School students learn how to apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model.

  • Define the probability of event (A and B) as the probability of the intersection of events A and B.
  • Understand P(B|A) to mean the probability of event B occurring when A has already occurred.
  • Use the multiplication rule, P(A and B) = P(A)P(B|A) = P(B)P(A|B), to determine P(A and B).
  • Determine the probability of dependent and independent events in real contexts
The following diagram shows the multiplication rule for probability. Scroll down the page for more examples and solutions on using the multiplication rule.

Multiplication Rule

Multiplication Rule (Probability "and"). The Multiplication Rule of Probability Using Cards
In this video, an example is shown using the multiplication rule of probability with cards. Independent events and dependent events are discussed.

Conditional Probability and the Multiplication Rule. Multiplication Rule for Conditional Probability. Conditional probability and the general multiplication rule
Two examples using playing cards of the general multiplication rule for conditional probabilities. Conditional Probability and Multiplication Law of Probability

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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