Core (Statistics & Probability)
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 (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
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
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