GCSE · Combined events & tree diagrams

Probability without replacementExam-style questions

Why the second pick happens in a smaller, changed bag — so the total always drops by one but a colour's count drops only if that colour was taken — and how that turns "one of each", "at least one" and the reverse quadratic questions.

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17 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 bag contains 4 mint sweets and 6 toffee sweets.

    Priya takes a sweet at random and eats it. She then takes a second sweet at random.

    (a) Work out the probability that both sweets are mint.

    (b) Work out the probability that both sweets are toffee.
    Level 2 · 4 marksTry it
  2. 2
    A bag has 55 sweets: 22 orange and 33 lemon. Two sweets are taken without replacement. Work out the probability that both are lemon.
    Level 2 · 2 marksTry it