FRQ — Statistics and Probability

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

Two events

A

and

B

have

P(A)=0.70

and

P(B)=0.60.

Total: 5 marks

(a) Explain why $A$ and $B$ cannot be mutually exclusive. (1 mark)

(b) Find the least possible value of $P(A\cap B)$ . (2 marks)

Your response (optional — you can also work on paper)

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