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Ecolint Campus des NationsMathematics
MYP 3Year 9Term 3

9.8 Sets, Probability and Games

Sets · 2- and 3-set Venn diagrams · Without replacement · Expected value · Fair games

Probability
11 objectives

Learning objectives

What students should be able to do by the end of this unit.

Sets and Venn Diagrams

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  • Understand the definition of a set including finite, infinite and universal sets, and use interval notation.
  • Perform set operations: complement, union, intersection and subset.
  • Identify and represent the special number sets (N, Z, Q, Q', R) using Venn diagrams.
  • Use 2-set Venn diagrams to represent relationships and solve count problems.
  • Use 3-set Venn diagrams and the inclusion-exclusion principle.

Probability and Games

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  • Define experimental and theoretical probability and represent it as a fraction, decimal or percentage.
  • Determine sample spaces using lists, tables, 2D grids and tree diagrams.
  • Calculate probabilities for compound events including "and" and "or".
  • Calculate probabilities for events without replacement (using tree diagrams).
  • Calculate expected values for multi-event experiments.
  • Determine whether games are fair using expected value.
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