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0580/11 May/Jun 2026, Question 7: Combined Events with Two-Way Tables

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Non-calculator · 4 marks

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The question, in short

Two fair 4-sided dice are multiplied; use the given table of products to find probabilities, then handle a biased 6-sided die with P(6) = 0.2.

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Part (ai) · 1 mark

Using the product table for two 4-sided dice, find the probability that the total is 12.

  1. 1There are 16 outcomes
  2. 212 appears 2 times
  3. 3P(12) = 2/16 = 1/8

Answer1/8

Part (aii) · 1 mark

From the product table, find the probability that the total is 5.

  1. 15 does not appear in the table
  2. 2P(5) = 0

Answer0

Part (aiii) · 1 mark

Using the table, find the probability that the product is less than 20.

  1. 1Every total in the table is 16 or less
  2. 2P(less than 20) = 16/16 = 1

Answer1

Part (b) · 1 mark

A biased 6-sided die has P(6) = 0.2; work out the probability of scoring less than 6.

  1. 1Less than 6 means not scoring 6
  2. 2P = 1 − 0.2 = 0.8

Answer0.8

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