Lemmara logoLemmaraWorked solution

0580/22 Oct/Nov 2021, Question 7: Basic Probability

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 4 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Katy has 5 white, x red and (2x + 1) yellow flowers; given the white probability is 1/12, find the probability of picking a yellow flower.

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

Solution · 4 marks

  1. 1Total flowers = 5 + x + 2x + 1 = 3x + 6
  2. 25/(3x + 6) = 1/12, so 3x + 6 = 60
  3. 3x = 18, total = 60
  4. 4Yellow = 2 × 18 + 1 = 37
  5. 5P(yellow) = 37/60

Answer37/60

Stuck on a step? Read the free lesson: Basic Probability

Practise more basic probability questions

Real 0580 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 basic probability

Also searched as: 0580/22/O/N/21 · 0580_w21_qp_22 · 0580 w21 22 · question 7.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.