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Learning objective

Determine the probability of combined events, ensuring that events are considered with replacement. Use the following methods where suitable: sample space diagrams, Venn diagrams (limited to two sets), and tree diagrams, where outcomes are noted at the ends of branches and probabilities are indicated alongside the branches.

Read the explanation, check the common trap, then practise with flashcards and questions.

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  • Check key terms.
  • Practise with linked questions.
Cambridge IGCSE MathematicsCore Probability

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Quick explanation

Determine the probability of combined events, ensuring that events are considered with replacement. Use the following methods where suitable: sample space diagrams, Venn diagrams (limited to two sets), and tree diagrams, where outcomes are noted at the ends of branches and probabilities are indicated alongside the branches

  • This point belongs to Probability of combined events, especially Probability of combined events outcomes.
  • You need to be able to determine the probability of combined events, ensuring that events are considered with replacement. Use the following methods where suitable: sample space diagrams, Venn diagrams (limited to two sets), and tree diagrams, where outcomes are noted at the ends of branches and probabilities are indicated 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

CalculateDetermineShowState

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Paper 2 structured question: Probability of combined events

Paper 2Core or Extended Mathematics2 marks

Description

Bag of Balls

A bag contains 4 red balls, 3 blue balls, and 5 green balls. You draw one ball at random, replace it, and then draw a second ball.

  1. a

    Calculate the probability of drawing a red ball followed by a green ball.

    Aim for approximately 2 distinct marking points.

    [2]
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