Lemmara logoLemmaraWorked solution

4MA1/2FR Jun 2023, Question 15: Probability from Tables and Charts

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

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Use a pie chart of favourite swimming strokes, with 12 members choosing backstroke, to find the front crawl count; then use a 90-member diving club table with frequencies 18, x and 2x to find a probability.

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

Part (a) · 2 marks

Using the pie chart angles and the 12 members who chose backstroke, work out how many members chose front crawl.

  1. 1The backstroke sector is 72° and it represents 12 members
  2. 272 ÷ 12 = 6, so each member is represented by 6°
  3. 3The front crawl sector is 138°
  4. 4138 ÷ 6 = 23
  5. 523 members said front crawl

Answer23

Part (b) · 3 marks

For 90 diving club members with group frequencies 18, x and 2x, find the probability a randomly chosen member is intermediate.

  1. 1Intermediate and advanced together: 90 − 18 = 72.
  2. 2x + 2x = 72, so 3x = 72 and x = 24.
  3. 3There are 24 intermediate members out of 90.
  4. 4Probability = 24/90

Answer24/90

Stuck on a step? Read the free lesson: Probability from Tables and Charts

Practise more probability from tables and charts questions

Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on probability from tables and charts

Also searched as: 4MA1 2FR June 2023 · 4MA1/2FR · 4ma1 jun23 2fr · question 15.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.