Pickles AcademyStart for free

Probability – practice for Years 8–9

Sample questions on Probability with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Maths
Year
Years 8–9
Curriculum area
Relationships, functions and data

Question types: Probability of an event

Rule: Probability

Probability = number of favourable outcomes ÷ number of all possible outcomes.

With two dice there are 6 × 6 = 36 pairs. Write the result in its simplest form.

Example: 7 green out of 22 marbles: P = 7/22

Watch out: “Not green” = all the other marbles: (22 − 7) ÷ 22 = 15/22.

Sample questions

  1. Question 1 Easy

    We roll a dice once. What is the probability of rolling a number less than 5? Give the answer as a fraction in its simplest form.

    Show the solution
    Answer: 2/3

    How it works: Favourable outcomes / all outcomes: 4/6 = 2/3

  2. Question 2 Normal

    A bag holds 8 red, 9 blue and 5 green marbles. We take out one marble at random. What is the probability that it is red? Give the answer as a fraction in its simplest form.

    Show the solution
    Answer: 4/11

    How it works: Favourable outcomes / all outcomes: 8/22 = 4/11

  3. Question 3 Hard

    A bag holds 8 red, 9 blue and 5 green marbles. We take out one marble at random. What is the probability that it is not red? Give the answer as a fraction in its simplest form.

    Show the solution
    Answer: 7/11

    How it works: Favourable outcomes / all outcomes: 14/22 = 7/11

Related topics

All Maths topics

Keep practising in the app

In a minute, your child has their own avatar and a first task. Free, no ads, data in the EU.

Start for free