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Long answer·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

In a batch of 150150 students, 8080 attend Mathematics club M, 65M,\ 65 attend Art club A,A, and 3535 attend both.
Total: 4 marks

(a) Find P(M∣A)P(M\mid A). (1 mark)

(b) Find P(A∣M)P(A\mid M). (1 mark)

(c) Find P(M∪A)P(M\cup A). (1 mark)

(d) Explain why the answers in parts (a) and (b) need not be equal. (1 mark)

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cbse-math-12.u6.t6-1.laq.004

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