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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.

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  • Practise with linked questions.
Cambridge IGCSE MathematicsExtended ProbabilitySupplement content

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Quick explanation

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

  • This point belongs to Probability of combined events, especially Probability of combined events outcomes.
  • You need to be able to 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.
  • The key ideas to know are Calculate, Determine, and Show.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

CalculateDetermineShowExplain

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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]
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