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Relative Frequency and Probability

We estimate MS1-12-RP is worth about 7 marks out of 100 under the new Mathematics Standard 1 syllabus. Practise 10 exam-style questions (multiple choice, multi-part, short answer, numerical answer) with instant marking and a worked solution for every question.

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Topic notes

The probability scale, sample spaces and equally likely outcomes, complementary events, two-stage experiments with tables and tree diagrams (with and without replacement), relative frequency, the law of large numbers, expected frequency, and how probability is used in decisions.

  1. 1What you need to know
  2. 2The language of probability
  3. 3Theoretical probability
  4. 4Two-stage experiments
  5. 5Relative frequency
  6. 6Expected frequency
  7. 7Probability in society
  8. 8Common mistakes
  9. 9Exam tips
  10. 10Links to other topics
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Example questions

Example 1 · 1 mark · multiple choice

A bag contains 5 red, 7 blue and 3 green counters. One counter is chosen at random. What is the probability that it is not red?

  1. A
  2. B
  3. C
  4. D

Example 2 · 1 mark · multiple choice

Two fair six-sided dice are rolled and the numbers are added. What is the probability that the total is 8?

  1. A
  2. B
  3. C
  4. D

Example 3 · 3 marks · multi-part

A bag contains 3 green and 5 yellow marbles. Two marbles are drawn at random, one after the other, without replacement.

Answers and worked solutions appear when you practise these questions.

Other Mathematics Standard 1 topics