Using Tree Diagrams to Represent a Sample Space and to Calculate Probabilities

Cultivate the tree of knowledge using diagrams with two stages. Pupils create small tree diagrams to determine the sample space in compound probability problems. The instructional activity uses only two decision points to introduce tree diagrams. 

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CCSS: Designed
Instructional Ideas

  • Spend some time with examples for the class to understand the need to multiply the probabilities to arrive at the probability of the compound event
  • Provide several opportunities to individuals to build tree diagrams
Classroom Considerations

  • Pupils need to be fluent in multiplying fractions and decimals
  • The sixth installment in a 25-part unit
Pros

  • Contains a picture of a tetrahedral die that is referenced in an example
  • Shows the tree diagrams used to determine the probabilities
Cons

  • Does not provide an explanation of why to multiply the probabilities to get the compound probability
Common Core