GCSE · Basic probability

Sample space & systematic listingExam-style questions

How to list every outcome once and only once — systematic listing, two-way sample-space diagrams, the product rule for counting, and why swapping two things over sometimes makes a new outcome and sometimes doesn't.

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14 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    A coin is flipped and a fair four-sided dice (numbered 11 to 44) is rolled. List all the possible outcomes.
    Level 1 · 1 markTry it
  2. 2
    Two fair coins are flipped. Write down the probability of getting two heads.
    Level 1 · 2 marksTry it
  3. 3
    A menu has 33 starters and 44 main courses. How many different combinations of one starter and one main are there?
    Level 1 · 1 markTry it