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O-LevelMathematicsProbability4024/12 · May/June 2019 · Q174 Marks

Nima has these six cards. Each card has a shape on it. [Figure showing 4 circles and 2 triangles] She takes two cards at random without replacement.

  1. (a)Complete the tree diagram. [Figure incomplete tree diagram][2]
  2. (b)Find the probability that the shapes on Nima's two cards are the same. Give your answer as a fraction.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.

  1. [B1] (a) 2/6 on first branch
  2. [B1] 2/5, 4/5, 1/5 on second set
  3. [2] (b) 14/30 oe
  4. [M1] for 4/6 x 3/5 + 2/6 x 1/5 oe or their- x their- oe

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About this question

Topic
Probability, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, May/June 2019 Paper 1 Variant 2, question 17.

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