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Cambridge IGCSE Mathematics practice

exam practice - Determine conditional probability using Venn diagrams, tree diagrams, and tables, while understanding the notation P(A|B). Knowledge of the formulas related to conditional probability is not necessary. - Conditional probability

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Conditional probability

Exam-style question

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Paper 2Core or Extended Mathematics4 marks

A survey shows that 60% of students like chocolate, and 40% like vanilla. 20% like both flavors.

Description

Conditional Probability with Survey Data

A survey shows that 60% of students like chocolate, and 40% like vanilla. 20% like both flavors.

  1. a

    Calculate the probability that a student likes vanilla given that they like chocolate.

    Aim for approximately 4 distinct marking points.

    [4]

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  • Topic focus: Conditional probability.
  • Question style: structured_mathematics.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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Paper 2 structured question: Conditional probability

Paper 2Core or Extended Mathematics3 marks

Description

Conditional Probability with Balls

A bag contains 5 red balls and 3 blue balls. A ball is drawn at random, not replaced, and then another ball is drawn.

  1. a

    Calculate the probability that the second ball drawn is red, given that the first ball drawn was blue.

    Aim for approximately 3 distinct marking points.

    [3]