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A-LevelMathematicsProbability and statisticsOct/Nov 2021Paper 5 Q15 Marks

Each of the 180 students at a college plays exactly one of the piano, the guitar and the drums. The numbers of male and female students who play the piano, the guitar and the drums are given in the following table. Piano Guitar Drums Male 25 44 11 Female 42 38 20 A student at the college is chosen at random.

📋 Examiner Report & Trap Analysis

Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...

🎯 Mark Scheme Breakdown

Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.

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About This A-Level Mathematics Question

Topic

This structured question tests Probability and statistics in A-Level Mathematics (syllabus code 9709). It is worth 5 marks.

Source

This question appeared in the Cambridge A-Level Mathematics Oct/Nov 2021 examination, Paper 5 Variant 2.

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