Lemmara logoLemmaraWorked solution

0580/11 Oct/Nov 2022, Question 14: Basic Probability

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 3 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Mario tests new cars; each has a 0.04 chance of being faulty. Work out the chance a car is fine, and the expected number faulty among 850 cars tested in a week.

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

Part (a) · 1 mark

Work out the chance that a tested car is not faulty, given the 0.04 faulty probability.

  1. 1P(not faulty) = 1 − 0.04 = 0.96

Answer0.96 or 96% or 24/25

Part (b) · 2 marks

Using 850 cars tested in one week, work out how many are expected to be faulty.

  1. 1Expected = 0.04 × 850 = 34 cars

Answer34

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: 0580/11/O/N/22 · 0580_w22_qp_11 · 0580 w22 11 · question 14.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.