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Learning Goal

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Explain conditional probability in everyday language

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HSS.CP.A.5

**HSS.CP.A.5**: Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. For example, compare the chance of having lung cancer if you are a smoker with the chance of being a smoker if you have lung cancer.

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HSS.CP.A.5: Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. For example, compare the chance of having lung cancer if you are a smoker with the chance of being a smoker if you have lung cancer.

What you'll learn

  1. Identify conditional-probability statements in everyday language, recognizing phrases such as "given that," "if you are," and "among those who"
  2. Explain, in plain words, why P(A | B) and P(B | A) are generally different, using the lung-cancer/smoker comparison
  3. Describe independence in everyday terms ("knowing one tells you nothing about the other") and give examples and non-examples
  4. Translate real situations - weather, sports, health, advertising - into informal conditional-probability and independence statements
  5. Critique everyday probabilistic claims that confuse the direction of conditioning or wrongly assume independence

Slides

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1

Spotting and direction

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2

Independence and critique

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Practice

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