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4024/23 May/Jun 2025, Question 8: Tree Diagrams for Independent Events

Cambridge O Level Mathematics 4024 · Paper 23 (Calculator) · Calculator · 3 marks

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The question, in short

Bag has 4 black and 6 white tiles; a tile is drawn, replaced, then a second drawn. Complete a two-stage tree diagram and find the probability both tiles are white.

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

Part (a) · 2 marks

Fill in the four missing branch probabilities on the tree diagram for the first and second draws.

  1. 1P(black) = 4/10, P(white) = 6/10 on every branch
  2. 2The tile is replaced, so the second-tile probabilities are the same

AnswerCorrect tree diagram with 4/10 for black and 6/10 for white

Part (b) · 1 mark

Calculate the probability that the two chosen tiles are both white.

  1. 1P(white, white) = 6/10 × 6/10
  2. 2= 36/100

Answer36/100

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Also searched as: 4024/23/M/J/25 · 4024_s25_qp_23 · 4024 s25 23 · question 8.
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