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4MA1/1FR Jan 2020, Question 7: Combined Events with Two-Way Tables

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 5 marks

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The question, in short

List combinations of one shirt from Blue, Red, Yellow and one trousers from Green, Orange, Purple, then find probabilities for a red shirt and for a black counter among 20 counters.

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

Part (a) · 2 marks

Write down every possible shirt and trousers combination from the three shirts and three trousers listed.

  1. 1List all combinations of one shirt and one pair of trousers.
  2. 2Blue with Green, Orange, Purple: BG, BO, BP
  3. 3Red with Green, Orange, Purple: RG, RO, RP
  4. 4Yellow with Green, Orange, Purple: YG, YO, YP

AnswerBG, BO, BP, RG, RO, RP, YG, YO, YP

Part (b) · 1 mark

Find the probability that the chosen shirt is red.

  1. 1Number of combinations with red shirt: 3 (RG, RO, RP)
  2. 2Total combinations: 9
  3. 33 / 9 = 1/3

Answer1/3

Part (c) · 2 marks

With 20 counters, 4 pink and 9 white, the rest black, work out the probability of taking a black counter.

  1. 1Total counters: 20
  2. 2Pink counters: 4
  3. 3White counters: 9
  4. 4Black counters = 20 − 4 - 9 = 7
  5. 5Probability = 7 / 20

Answer7/20

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