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4MA1/1F Jun 2023, Question 10: Basic Probability

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 4 marks

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The question, in short

Bag holds 30 counters: 13 purple, 11 white, remainder red. Find probabilities for purple and red, then after adding 10 counters with white probability 2/5, find how many added are white.

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

Part (a) · 1 mark

State the probability that a randomly taken counter is purple.

  1. 113 out of 30 counters are purple
  2. 2probability = 13/30

Answer13/30

Part (b) · 1 mark

Calculate the probability that a randomly taken counter is red.

  1. 1total counters = 30
  2. 2purple + white = 13 + 11 = 24
  3. 3red counters = 30 − 24 = 6
  4. 4probability = 6/30

Answer6/30

Part (c) · 2 marks

Given 10 counters added and new white probability 2/5, find how many added counters are white.

  1. 1after adding 10 counters, total = 30 + 10 = 40
  2. 2probability of white is now 2/5
  3. 3number of white counters now = (2/5) × 40 = 16
  4. 4originally 11 white counters
  5. 5new white counters added = 16 − 11 = 5

Answer5

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