MA19.FM.9

Mathematics (2019) Grade(s): 09-12 - Applications of Finite Mathematics

MA19.FM.9

Use various counting techniques to determine probabilities of events.

Unpacked Content

Knowledge

Students know:

  • Probability.
  • Permutations and Combinations.
  • Tree diagrams.

Skills

Students are able to:

  • Use a tree diagram or other systematic listing method to determine the number of possible outcomes in an application-based problem.
  • Use combinations and permutations to count the number of possible outcomes in an application -based problem.
  • Determine the probability of an event.

Understanding

Students understand that:

  • Solving probability in a discrete setting requires first applying combinatorial reasoning and counting techniques to determine the size of the event of interest.
  • Some events consist of a sequence of (or partition into) smaller events that may be independent or dependent.

Vocabulary

  • Tree diagrams
  • Combinations
  • Permutations
  • Sample size
  • Independent events
  • Dependent events
  • Mutually exclusive (disjoint) events

Aligned Learning Resources

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