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Cambridge IGCSE Mathematics practice

MCQ practice - Calculate the probability of combined events, which may include scenarios with or without replacement. This can be represented using sample space diagrams, Venn diagrams (where the notation P(A ∩ B) and P(A ∪ B) can be applied), and tree diagrams, where outcomes are indicated at the ends of branches and probabilities are noted alongside the branches. - Probability of combined events

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MCQ

Type

cambridge_mcq

Style

Topic

Probability of combined events

Exam-style question

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What does P(A ∩ B) represent in probability?.

  1. A.Probability of either A or B occurring
  2. B.Probability of both A and B occurring
  3. C.Probability of neither A nor B occurring
  4. D.Probability of A occurring but not B

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  • Topic focus: Probability of combined events.
  • Question style: cambridge_mcq.
  • Reasoning demand: reasoning.
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Paper 2 structured question: Probability of combined events

Paper 2Core or Extended Mathematics3 marks

Description

Probability with Replacement

Calculate the probability of drawing two red balls in succession from a bag containing 3 red balls and 2 blue balls, with replacement.

  1. a

    Calculate the probability of drawing a red ball on the first draw.

    Aim for approximately 1 distinct marking point.

    [1]
  2. b

    Calculate the probability of drawing two red balls in succession.

    Aim for approximately 2 distinct marking points.

    [2]