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O-LevelMathematicsProbability4024/21 · May/June 2017 · Q35 Marks

Humanities: Geography (G) History (H) Religious studies (R) Science: Physics (P) Chemistry (C) Biology (B) A student has to choose one humanities subject and two different science subjects.

  1. (a)Complete the table to show the possible outcomes. Answer Humanities Science G P and C G P and B[2]
  2. (b)(i)Find the probability that he chooses Geography.[1]
  3. (b)(ii)Find the probability that he chooses Physics.[1]
  4. (b)(iii)Find the probability that he chooses both Religious studies and Chemistry.[1]

Mark scheme

Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.

  1. [2] GCB, HPC, HPB, HCB, RPC, RPB, RCB
  2. [1] B1 for 5 correct and none incorrect or for 6 correct
  3. [1] 1/3 or 0.333(..) or 33.3(..)[%]
  4. [1] FT dep on B1 scored in (a)
  5. [1] 2/3 or 0.666-0.667 or 66.6% – 66.7%
  6. [1] FT dep on B1 scored in (a)
  7. [1] 2/9 or 0.222(...) or 22.2(...)[%]
  8. [1] FT dep on B1 scored in (a)
  9. After 0 scored in (i) (ii) and (iii), SC1 for 3 6 2 / k k k

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About this question

Topic
Probability, O-Level Mathematics (syllabus 4024). Structured question, 5 marks.
Source
O-Level Mathematics, May/June 2017 Paper 2 Variant 1, question 3.

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