GCSE · Basic probability

Probability of a single eventExam-style questions

Why a probability is a share of the whole — so it lives between 0 and 1, why P(A) = favourable ÷ total needs equally likely outcomes, and how the "it all adds to 1" rule drives complements, missing table entries and expected numbers.

13 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 fair six-sided dice is rolled. Write down the probability of rolling a 44.
    Level 1 · 1 markTry it
  2. 2
    The probability that it rains tomorrow is 0.30.3. Write down the probability that it does not rain tomorrow.
    Level 1 · 1 markTry it
  3. 3
    A bag contains 33 red counters, 55 blue counters and 44 green counters.

    A counter is taken at random from the bag.

    (a) Work out the probability that the counter is not green. (1 mark)

    The counter is put back in the bag. This is repeated 6060 times.

    (b) Work out an estimate for the number of times a green counter is taken. (2 marks)
    Level 2 · 3 marksTry it
  4. 4
    A bag contains 5 red counters, 8 blue counters and 12 green counters.

    A counter is taken at random from the bag.

    (a) Write down the probability that the counter is blue.

    (b) Work out the probability that the counter is not green.
    Level 2 · 3 marksTry it
  5. 5
    A biased spinner can land on red, blue, green or yellow.

    The table shows the probability that the spinner lands on each of three of these colours.
    ColourRedBlueGreenYellow
    Probability0.20.350.15
    (a) Work out the probability that the spinner lands on yellow.

    (b) Work out the probability that the spinner does not land on blue.
    Level 2 · 3 marksTry it

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