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O-LevelMathematicsProbability4024/22 · May/June 2024 · Q27 Marks

The diagram shows a fair spinner numbered from 1 to 5. The score is the number the spinner lands on. [Figure 2.1]

  1. (a)(i)The spinner is spun once. Find the probability that the score is 3[1]
  2. (a)(ii)even.[1]
  3. (b)(i)The spinner is spun twice. The two scores are added together. Complete the possibility diagram to show all the outcomes.[2]
  4. (b)(ii)Find the probability that the outcome is 4.[1]
  5. (b)(iii)Find the probability that the outcome is greater than 6.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.

  1. [1] 1/5 oe
  2. [1] 2/5 oe
  3. [2] ....7 8 / 5 6 7 8 9 / 6 7 8 9 10
  4. B1 for at least 7 values correct
  5. [1] 3/25 oe
  6. [2] 10/25 oe
  7. FT their complete possibility diagram
  8. B1FT for answer their10/k where k is 35 or 36

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About this question

Topic
Probability, O-Level Mathematics (syllabus 4024). Structured question, 7 marks.
Source
O-Level Mathematics, May/June 2024 Paper 2 Variant 2, question 2.

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