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0580/11 May/Jun 2024, Question 11: Basic Probability

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 3 marks

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The question, in short

Geetha picks a toy at random; wooden toy probability is 0.6. Find the probability of not picking wooden, then complete a table of toy types with plastic and metal counts of 14.

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Part (a) · 1 mark

Work out the probability that the chosen toy is not wooden.

  1. 1P(not wooden) = 1 − 0.6 = 0.4

Answer0.4

Part (b) · 2 marks

Complete the table giving the number of wooden toys and the probabilities for plastic and metal.

  1. 1Plastic and metal share 0.4 equally (14 each): 0.4 ÷ 2 = 0.2 each
  2. 214 toys ↔ 0.2, so total = 14 ÷ 0.2 = 70 toys
  3. 3Wooden = 0.6 × 70 = 42
  4. 4Wooden 42, 0.6; Plastic 14, 0.2; Metal 14, 0.2

Answer| Type of toy | Wooden | Plastic | Metal | | Number of toys | 42 | 14 | 14 | | Probability | 0.6 | 0.2 | 0.2 |

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