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Learning objective

1 Comprehend and apply the probability scale ranging from P(A) = 0 to P(A) = 1, where P(A') represents the probability of the event not occurring. 2 Recognize and utilize probability notation. 3 Compute the probability of a single event, expressing probabilities as fractions, decimals, or percentages, and solving problems that may involve data from tables, graphs, or Venn diagrams. 4 Grasp that if the probability of an event is P(B) = 0.8, then the probability of event B not occurring is calculated as 1 - P(B).

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

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  • Read the explanation.
  • Check key terms.
  • Practise with linked questions.
Cambridge IGCSE MathematicsExtended ProbabilitySupplement content

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Quick explanation

1 Comprehend and apply the probability scale ranging from P(A) = 0 to P(A) = 1, where P(A') represents the probability of the event not occurring. 2 Recognize and utilize probability notation. 3 Compute the probability of a single event, expressing probabilities as fractions, decimals, or percentages, and solving problems that may involve data from tables, graphs, or Venn diagrams. 4 Grasp that if the probability of an event is P(B) = 0.8, then the probability of event B not occurring is calculated as 1 - P(B)

  • This point belongs to Introduction to probability, especially Introduction to probability outcomes.
  • You need to be able to 1 Comprehend and apply the probability scale ranging from P(A) = 0 to P(A) = 1, where P(A') represents the probability of the event not occurring. 2 Recognize and utilize probability notation. 3 Compute the probability of a single event, expressing probabilities as fractions, decimals, or percentages, and solving problems that may involve data from tables, graphs, or Venn diagrams. 4 Grasp that if the probability of an event is P(B) = 0.8, then the probability of event B not occurring is calculated as 1 - P(B).
  • The key ideas to know are Calculate, Determine, and Explain.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

CalculateDetermineExplainShow

Why it matters

This objective helps connect Introduction to probability outcomes to exam-style questions, flashcards, and revision notes for Introduction to probability.

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Paper 2 structured question: Introduction to probability

Paper 2Core or Extended Mathematics4 marks

Description

Probability of Drawing a Ball

A bag contains 5 red balls and 3 blue balls. A ball is drawn at random from the bag.

  1. a

    Calculate the probability of drawing a red ball.

    Aim for approximately 2 distinct marking points.

    [2]
  2. b

    Calculate the probability of drawing a blue ball.

    Aim for approximately 2 distinct marking points.

    [2]
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