Two fair six-sided dice are rolled. How many equally likely outcomes are there in total?
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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 Probability of combined events Topical Past Papers.
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These Probability of combined events Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Probability (E8.3) 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.
Calculate probabilities of combined events using sample space diagrams, Venn diagrams (limited to two sets) and tree diagrams.
Two fair six-sided dice are rolled. How many equally likely outcomes are there in total?
Two fair coins are tossed. Find the probability that both land on heads.
[1 mark]Two fair six-sided dice are rolled. Find the probability that the sum of the two scores is exactly 7.
[2 marks]In a class of 30 students, 18 study French (F) and 12 study Spanish (S). 7 study BOTH. Find the probability that a randomly chosen student studies NEITHER language.
[2 marks]For two independent events A and B, P(A AND B) equals:
A bag contains 3 red balls and 7 blue balls. A ball is drawn at random, its colour noted, and returned to the bag. A second ball is then drawn.
Find the probability that both balls are red.
[1 mark]Find the probability that exactly one of the two balls is red.
[2 marks]The probability that it rains on any given day is 0.3. Find the probability that it rains on at least one of two consecutive days. Assume the days are independent.
[2 marks]Three independent traffic lights each have probability 0.6 of being green. Find the probability that exactly two of the three are green.
[2 marks]