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4MA1/2FR Jun 2022, Question 12: Combined Events with Two-Way Tables

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 5 marks

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The question, in short

List all morning-afternoon game pairings from the given table, then use a two-way table of 100 students' card game choices to find probabilities about Year 11 and Year 10 students.

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

Part (a) · 2 marks

Write down every possible combination of one morning game and one afternoon game Mario can choose.

  1. 1List all combinations of one morning game and one afternoon game.
  2. 2Morning games: B, C, D
  3. 3Afternoon games: L, M, S
  4. 4B with L, M, S gives BL, BM, BS
  5. 5C with L, M, S gives CL, CM, CS
  6. 6D with L, M, S gives DL, DM, DS
  7. 7BL, BM, BS, CL, CM, CS, DL, DM, DS

AnswerBL, BM, BS, CL, CM, CS, DL, DM, DS

Part (b) · 1 mark

Find the probability that a randomly picked student is in Year 11, using the table totals.

  1. 1Total number of students = 100
  2. 2Number of Year 11 students = 47
  3. 3Probability = 47 / 100
  4. 447/100

Answer47/100

Part (c) · 2 marks

Given 53 Year 10 students with 4 choosing Whist, find the probability a randomly picked Year 10 student did not choose Whist.

  1. 1Total number of Year 10 students = 53
  2. 2Number of Year 10 students who answered Whist = 4
  3. 3Number of Year 10 students who did not answer Whist = 53 − 4 = 49
  4. 4Probability = 49 / 53
  5. 549/53

Answer49/53

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