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A-LevelMathematicsProbability and statistics9709/51 · May/June 2021 · Q14 Marks

A bag contains 12 marbles, each of a different size. 8 of the marbles are red and 4 of the marbles are blue.

  1. (a)How many different selections of 5 marbles contain at least 4 marbles of the same colour?[4]

Mark scheme

Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.

  1. [M1] Cxx Cy with x + y = 5. x, y both integers, 1 ≤ x ≤ 5, 0 ≤ y ≤ 4 condone C1 × 1
  2. [A1] Two correct outcomes evaluated
  3. [M1] Add 2 or 3 identified correct scenarios only (no additional terms, not probabilities)
  4. [A1] WWW, only dependent on 2nd M mark

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About this question

Topic
Probability and statistics, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, May/June 2021 Paper 5 Variant 1, question 1.

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