Probability of Combined Events: GCSE Maths Question of the Week (Higher)

Can your students solve a tricky combined probability question? There’s only one way to find out!

The latest edition of my GCSE Maths Question of the Week series is a lovely Combined Probability question provided exclusively for my Diagnostic Questions website by OCR. However, the content is suitable no matter which exam board you are following.

Here is one suggestion for using this resource:

  • Print out the worksheet for use as a starter in lessons, or a homework.
  • Discuss your students answers and explanations, their reasons for the incorrect answers, and their choice of alternative wrong answers
  • Use our data analytics to see how the rest of the country performed on this question, and view alternative student explanations
  • Set your students the entire quiz that this question comes from as a follow-up activity
  • Direct your students to the Topic section on my website, where they will find videos, worksheets and extension material on this topic.


All of this is free.

At our school we are using this once a week with our Year 11 classes. I really hope you and your students find it useful.

Download the worksheet

  Get extra help on Combined Probability

Try the Question online
View the Question Data and Explanations

Try the Quiz online
View the Quiz Data

For all the questions in this series, please visit my GCSE Maths Question of the Week page.

2 thoughts on “Probability of Combined Events: GCSE Maths Question of the Week (Higher)

  1. If you spin the above spinners ‘twice’ the probability of having a total of 2 is

    the smallest total would be 4; since each spinner has been spun twice. Even in your video you only used a single spin for each spinner.

    It is language that stops students from being successful at probability!

    1. You are spot on. On reflection, it was a very poor choice of question by me! I 100% agree that the correct answer should be 0.

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