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Year 11 · Term 1

11.2 Probability

Learning Objectives

Probability Basics

  1. 1. Understand experimental and theoretical probability and express results as fractions, decimals or percentages.
  2. 2. Use compound events with tree diagrams (with and without replacement) and two-way tables.
  3. 3. Calculate the probability of unions using $P(A \cup B) = P(A) + P(B) - P(A \cap B)$.

Conditional Probability and Independence

  1. 4. Understand and calculate conditional probability using $P(B \mid A) = \dfrac{P(A \cap B)}{P(A)}$.
  2. 5. Identify and test for mutually exclusive events ($P(A \cap B) = 0$).
  3. 6. Identify and test for independent events ($P(A \cap B) = P(A) \cdot P(B)$).
  4. 7. Solve problems combining Venn diagrams, tree diagrams and conditional probability.
  5. 8. Understand factorial notation, permutations and combinations.