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A-LevelMathematicsProbability and statisticsOct/Nov 2025Paper 5 Q45 Marks

Bag A contains 8 red marbles and 3 blue marbles. Bag B contains 4 red marbles and 1 blue marble. A marble is chosen at random from bag A. If the marble chosen is red, it is discarded. If the marble chosen is blue, it is placed in bag B. A marble is then chosen at random from bag B. If the marble chosen is red, it is discarded. If the marble chosen is blue, it is placed in bag A. A marble is now chosen at random from bag A. (a) Complete the tree diagram below by entering all the remaining outcomes and probabilities. [3] [Tree diagram with some branches and probabilities: Bag A Red (8/11) Bag B (empty for now) Bag A (empty for now) Blue (3/11) Bag B Red (4/6) Bag A (empty for now) Blue (2/6) Bag A (empty for now) ]

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The correct answer is . This question tests the candidate's understanding of probability and statistics within the Mathematicssyllabus. The examiner's mark scheme requires...

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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...

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About This A-Level Mathematics Question

This structured question appeared in the Cambridge A-Level Mathematics (9709) Oct/Nov 2025 examination, Paper 5 Variant 1. It tests the topic of Probability and statistics and is worth 5 marks.

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