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

MA19.FM.7

Develop and use the Fundamental Counting Principle for counting independent and dependent events.

Unpacked Content

Knowledge

Students know:

  • How to construct a tree diagram.

Skills

Students are able to:

  • Count the number of events when given a variety of constraints/parameters when the Fundamental Counting Principle can be applied.

Understanding

Students understand that:

  • The Fundamental Counting Principle can be applied in contexts where an ordered list of events occur and there are a ways for the first event to occur, b ways for the second event to occur so the number of ways of the ordered sequence of events occuring is axb.

Vocabulary

  • Fundamental counting principle
  • Independent events
  • Dependent events
  • Tree diagram
  • Branches
  • Node
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