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

A clinic uses the screening data shown in the table.
Total: 5 marks

(a) Find the probability that a randomly selected person tests positive. (2 marks)

(b) Given a positive result, find the probability that the person has the disease. (1 mark)

(c) Given a positive result, find the probability that the person does not have the disease. (1 mark)

(d) Given a negative result, find the probability that the person has the disease. (1 mark)

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cbse-math-12.u6.t6-5.case.005

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