Work through the list without notes. If you cannot do a statement, follow its link, then come back. Guide = study guide; Practice = practice questions.
Understanding
- I can explain what the intersection A ∩ B is and read the symbol as “A and B”. (Guide: “Joint probability and the symbol ∩”)
- I can explain what a joint probability is, in context, for one trial or one randomly chosen individual. (Guide: “Joint probability and the symbol ∩”; Practice Q7)
- I can state what “mutually exclusive” (or “disjoint”) means and why it gives P(A ∩ B) = 0. (Guide: “Mutually exclusive (disjoint) events”; Practice Q3)
- I can explain why an event and its complement are always mutually exclusive, but mutually exclusive events need not be complements. (Guide: Worked example 1; Practice Q3)
Skills
- I can list the outcomes in two events and find their intersection from a sample space. (Guide: Worked example 1; Practice Q1, Q4)
- I can find a joint probability from a two-way table by dividing a cell by the grand total. (Guide: Worked example 2; Practice Q2, Q5)
- I can read a Venn diagram and say whether two events overlap. (Guide: “Seeing it on a Venn diagram”)
- I can use a joint probability to find an expected count. (Practice Q7)
Reasoning
- I can justify whether two events are mutually exclusive using the value of P(A ∩ B) and a conclusion in context. (Guide: “How to justify a claim”; Practice Q4, Q5)
- I can explain why a small joint probability still means the events are not mutually exclusive. (Guide: Worked example 2)
- I can explain why a zero cell in a sample does not, on its own, prove that two events can never happen together. (Guide: “Common misconceptions”; Practice Q5)
- I can explain why “one event does not affect the other” is not the same as “mutually exclusive”. (Practice Q6)
All ticked? Move on to Topic 2.6, Conditional Probability, or return to the course roadmap.