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A-LevelMathematicsProbability and statisticsMay/June 2017Paper 6 Q36 Marks

Redbury United soccer team play a match every week. Each match can be won, drawn or lost. At the beginning of the soccer season the probability that Redbury United win their first match is 1/3, with equal probabilities of losing or drawing. If they win the first match, the probability that they win the second match is 7/10 and the probability that they lose the second match is 1/10. If they draw the first match they are equally likely to win, draw or lose the second match. If they lose the first match, the probability that they win the second match is 3/10 and the probability that they draw the second match is 1/20.

📋 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 6 marks.

Source

This question appeared in the Cambridge A-Level Mathematics May/June 2017 examination, Paper 6 Variant 1.

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