Mathematics (2019) Grade(s): 09-12 - Algebra I with Probability

MA19.A1.40

Recognize and describe the concepts of conditional probability and independence in everyday situations and explain them using everyday language.

COS Examples

Example: Contrast the chance of having lung cancer if you are a smoker with the chance of being a smoker if you have lung cancer.

Unpacked Content

Knowledge

Students know:
  • Possible relationships and differences between the simple probability of an event and the probability of an event under a condition.

Skills

Students are able to:
  • Accurately determine the probability of simple and compound events.
  • Accurately determine the conditional probability P(A given B) from a sample space or from the knowledge of P(A and B) and the P(B).

Understanding

Students understand that:
  • Conditional probability is the probability of an event occurring given that another event has occurred.

Vocabulary

  • Conditional Probability
  • Probability
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