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Very short answer·Routine exam skill (2/5)·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 card is drawn from box AA with probability 14\frac14 or box BB with probability 34.\frac34. Event EE has probabilities 25\frac25 and 15\frac15 in boxes AA and B.B.
Total: 2 marks

(a) Given that EE occurred, find the probability that box AA was chosen. (2 marks)

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