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O-LevelMathematicsProbability4024/12 · May/June 2022 · Q224 Marks

A bag contains these 9 letter tiles. I S O S C E L E S

  1. (a)Nur takes one tile from the bag at random. She notes the letter and then puts the tile back in the bag. Find the probability that she does not take a letter E.[1]
  2. (b)Nur now takes two of the 9 letter tiles at random without replacement. Find the probability that both tiles show the same letter.[3]

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Mark scheme

Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.

  1. [1] (a) 7/9 oe
  2. [3] (b) 1/8 or 9/72 oe nfww M2 for (3/9 * 2/8) + (2/9 * 1/8) oe or M1 for (3/9 * 2/8) or (2/9 * 1/8) seen If 0 scored, SC1 for answer 13/81 or 8/81

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About this question

Topic
Probability, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, May/June 2022 Paper 1 Variant 2, question 22.

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