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0580/13 Oct/Nov 2023, Question 19: Tree Diagrams for Independent Events

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Calculator · 4 marks

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The question, in short

From a bag of seven numbered cards, find a probability for a card above 3; then use a with-replacement tree diagram for 3 blue and 7 red cards to complete branches and find the chance both picks are blue.

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

Part (a) · 1 mark

Find the probability that a randomly picked card shows a number greater than 3.

  1. 1Cards greater than 3: 7, 9, 4, 5 → 4 cards out of 7
  2. 2P(greater than 3) = 4/7

Answer4/7

Part (bi) · 1 mark

Fill in the missing probabilities on the tree diagram for the first and second picks.

  1. 1P(red) = 1 − 3/10 = 7/10
  2. 2The card is replaced, so write 7/10 in each Red space

Answer7/10 in each space on tree diagram

Part (bii) · 2 marks

Calculate the probability that both cards Kim picks are blue.

  1. 1P(blue, blue) = 3/10 × 3/10
  2. 2= 9/100

Answer9/100

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Also searched as: 0580/13/O/N/23 · 0580_w23_qp_13 · 0580 w23 13 · question 19.
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