11.2 Probability
Term 1
Experimental & theoretical probability · Compound events · Tree diagrams · Two-way tables · Conditional probability · Mutually exclusive vs independent · Testing for independence
Learning Objectives
PrintProbability Basics
- 1. Understand experimental and theoretical probability and express results as fractions, decimals or percentages.
- 2. Use compound events with tree diagrams (with and without replacement) and two-way tables.
- 3. Calculate the probability of unions using $P(A \cup B) = P(A) + P(B) - P(A \cap B)$.
Conditional Probability and Independence
- 4. Understand and calculate conditional probability using $P(B \mid A) = \dfrac{P(A \cap B)}{P(A)}$.
- 5. Identify and test for mutually exclusive events ($P(A \cap B) = 0$).
- 6. Identify and test for independent events ($P(A \cap B) = P(A) \cdot P(B)$).
- 7. Solve problems combining Venn diagrams, tree diagrams and conditional probability.
- 8. Understand factorial notation, permutations and combinations.
Review Pack
Open review hub
Fluency Pack A — 40 questions
Fluency Pack B — 40 questions
Problem-solving — 12 unfamiliar tasks
Worked solutions (Pack A + B + problems)