Common Core Math
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Learning Goal

Part of: Understand independence and conditional probability and use them to interpret data — 3 of 5 cluster items

Understand conditional probability

HSS.CP.A.3

**HSS.CP.A.3**: Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.

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HSS.CP.A.3: Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.

What you'll learn

  1. Define and compute the conditional probability P(A|B) using the formula P(A|B) = P(A and B) / P(B)
  2. Explain in their own words why conditional probability represents "restricting the sample space" to only outcomes where B has occurred
  3. Interpret independence of events A and B as the condition P(A|B) = P(A) - knowing B occurred doesn't change the probability of A
  4. Determine whether two events are independent by checking if P(A|B) = P(A) or equivalently if P(A and B) = P(A) · P(B)
  5. Apply conditional probability to real-world scenarios, including medical testing, quality control, and everyday decision making

Slides

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Slides

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