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4MA1/2H Jun 2023, Question 13: Tree Diagrams for Independent Events

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 4 marks

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The question, in short

Two fair six-sided dice have different red and yellow face counts; Narin throws each once. Fill in a probability tree and find the chance both show yellow.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 2 marks

Fill in the missing probabilities on the tree diagram for dice A and dice B outcomes.

  1. 1Label the bottom branch from Dice A as 4/6 (yellow)
  2. 2Label the red branch from Dice B as 1/6
  3. 3Label the yellow branch from Dice B as 5/6
  4. 4Repeat for the second set: red = 1/6, yellow = 5/6

Answer4/6, 1/6, 5/6, 1/6, 5/6

Part (b) · 2 marks

Calculate the probability that the two dice both land showing yellow.

  1. 1Multiply the probabilities for both dice landing on yellow
  2. 24/6 × 5/6 = 20/36
  3. 3Simplify 20/36 to 5/9

Answer5/9

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