A bag contains 5 red and 3 blue counters. A counter is drawn and NOT replaced. What is the probability that the SECOND counter drawn is red, given that the FIRST counter drawn was red?
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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 Conditional probability Topical Past Papers.
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These Conditional probability Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Probability (E8.4) 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 conditional probabilities, particularly using tree diagrams for problems without replacement.
A bag contains 5 red and 3 blue counters. A counter is drawn and NOT replaced. What is the probability that the SECOND counter drawn is red, given that the FIRST counter drawn was red?
A bag contains 6 red and 4 green sweets. A sweet is drawn at random. Find the probability that it is green.
[1 mark]A bag contains 4 red and 6 blue marbles. Two marbles are drawn WITHOUT replacement. Find the probability that both marbles are red.
[2 marks]A box contains 5 black and 7 white pens. Two pens are taken at random WITHOUT replacement. Find the probability that BOTH are white.
[2 marks]If P(A) = 0.6 and P(A AND B) = 0.18, what is the conditional probability P(B | A)?
A bag contains 5 red and 4 yellow balls. Two balls are drawn WITHOUT replacement.
Find the probability that both balls are the same colour.
[2 marks]Find the probability that the two balls are different colours.
[1 mark]In a class of 24 students, 14 study French. From this group of 24, 2 students are chosen at random. Find the probability that NEITHER of them studies French.
[2 marks]A factory makes circuit boards. 80% of boards come from Machine A, the rest from Machine B. 5% of Machine A's boards are faulty; 10% of Machine B's are faulty. A randomly chosen board is faulty. Find the probability it came from Machine A.
[2 marks]