Mathematics
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Année 9 · Term 3

9.8 Sets, Probability and Games

Objectifs d'apprentissage

Sets and Venn Diagrams

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

Probability and Games

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