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4024/11 May/Jun 2023, Question 12: Basic Probability

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Use Ali's game results to estimate the probability he does not win his next game, and use a spinner's red frequency to find the number of spins n.

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Part (a) · 1 mark

From 6 games with 4 wins and 20 games with 13 wins, estimate the probability Ali will not win the next game.

  1. 1Use the most games: P(win) ≈ 13/20
  2. 2P(not win) ≈ 1 − 13/20 = 7/20

Answer7/20

Part (b) · 2 marks

A spinner lands on red 14 times with relative frequency 0.2; find the total number of spins n.

  1. 114/n = 0.2
  2. 2n = 14 ÷ 0.2
  3. 3n = 70

Answer70

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