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Cambridge IGCSE Mathematics practice

exam practice - 1 Recognize relative frequency as an approximation of probability, such as using spinner experiment results to estimate the likelihood of a specific outcome. 2 Compute expected frequencies, for instance, applying probability to derive an expected value from a population. This includes grasping the concepts of fairness, bias, and randomness. - Relative and expected frequencies

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Relative and expected frequencies

Exam-style question

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Paper 2Core or Extended Mathematics2 marks

A spinner is divided into 4 equal sections, colored red, blue, green, and yellow. After 100 spins, the results were: 25 red, 30 blue, 20 green, and 25 yellow.

Data Table

Spinner Experiment Results

Results of 100 spins of a spinner divided into 4 equal sections.

ColorFrequency
Red25
Blue30
Green20
Yellow25
  1. a

    Calculate the relative frequency of landing on blue.

    Aim for approximately 2 distinct marking points.

    [2]

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  • Topic focus: Relative and expected frequencies.
  • 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: Relative and expected frequencies

Paper 2Core or Extended Mathematics3 marks

Description

Ball Drawing Experiment

A bag contains 10 red balls and 5 blue balls.

  1. a

    Calculate the expected frequency of drawing a red ball.

    Aim for approximately 3 distinct marking points.

    [3]