On the probability scale, an event that is CERTAIN to happen has probability:
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Practise IGCSE 0580 questions in the style of recent Extended past papers, organised by syllabus subtopic. Each set comes with an examiner-style mark scheme and a downloadable worksheet.
Everything students ask about Cambridge IGCSE 0580 Introduction to probability Topical Past Papers.
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These Introduction to probability Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Probability (E8.1) section of the 2025–2027 syllabus. Use them to revise the exact skills examiners test in this part of the course.
Each question is graded Easy → Medium → Hard, plus an A★ Challenge for top-grade preparation. Tap a question to mark your own answer, then unlock the examiner-style mark scheme with model solutions and examiner tips. A printable Topical Past Papers worksheet is included so you can practise offline.
Use the probability scale from 0 to 1; calculate the probability of a single event; understand that P(not A) = 1 − P(A).
On the probability scale, an event that is CERTAIN to happen has probability:
A fair six-sided die is rolled. Find the probability of getting an even number.
[1 mark]The probability that it rains tomorrow is 0.35. Find the probability that it does NOT rain tomorrow.
[2 marks]A bag contains 4 red, 5 blue and 3 green marbles. A marble is drawn at random. Find the probability that it is blue.
[2 marks]An IMPOSSIBLE event has probability:
A spinner has 12 equal sectors numbered 1 to 12. The spinner is spun once.
Find the probability that the spinner lands on a multiple of 3.
[2 marks]Find the probability that the spinner does NOT land on a multiple of 3.
[1 mark]A card is drawn at random from a standard pack of 52 cards. Find the probability that the card is a heart OR a king.
[2 marks]The probability of event A is 2x, the probability of event B is 3x, and the probability of NEITHER A nor B is 0.3. If A and B are mutually exclusive, find the value of x.
[2 marks]