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Learning Goal

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Apply the general Multiplication Rule

Start lessonBegins with Why the product fails and the rule · Slides

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

HSS.CP.B.8

**HSS.CP.B.8**: (+) 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.

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HSS.CP.B.8: (+) 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.

What you'll learn

  1. State the general Multiplication Rule, P(A and B) = P(A) * P(B | A) = P(B) * P(A | B)
  2. Apply the rule to compute joint probabilities for dependent events, such as draws without replacement
  3. Use tree diagrams to organize sequential events, multiplying conditional probabilities along branches
  4. Recognize the independence special case, where P(B | A) = P(B) reduces the rule to P(A) * P(B)
  5. Interpret a computed joint probability in terms of the model and its context

Slides

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1

Why the product fails and the rule

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2

Tree diagrams and independence

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Practice

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