Case study·Hard exam skill (4/5)·No calculatorNeeds mentor review
Difficulty guide
The label describes the problem, not your ability.
1/5 - Foundational
Warm-up setup; checks one basic idea.
2/5 - Routine exam skill
Normal syllabus skill; usually one main rule or interpretation.
3/5 - Standard multi-step
Exam-style problem with multiple steps or a common trap.
4/5 - Hard exam skill
High-end exam problem; combines methods carefully.
5/5 - Challenge
Stretch problem beyond normal exam pressure.
Question
For a scholarship selection process, a student is eligible with probability Given eligibility, the documents are complete with probability Given both, final selection has probability
Total: 4 marks
(a) Find the probability that the student is eligible and uploads documents. (1 mark)
(b) Find the probability that all three stages occur. (2 marks)
(c) State the conditional probability of final selection, given eligibility and document upload. (1 mark)
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