Probability: Age 14-16

This is part of our collection of favourite rich tasks arranged by topic.

If you are a teacher, you can find the whole collection on our Secondary Curriculum teacher page.
Alternatively, if you are a student, you'll find the same problems on our Secondary Curriculum student page.


  • Chances are
    problem
    Favourite

    Chances Are

    Age
    14 to 16
    Challenge level

    Which of these games would you play to give yourself the best possible chance of winning a prize?

  • The Better Choice
    problem
    Favourite

    The Better Choice

    Age
    14 to 16
    Challenge level

    Here are two games you can play. Which offers the better chance of winning?

  • Last one standing
    problem
    Favourite

    Last One Standing

    Age
    14 to 16
    Challenge level

    Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

  • problem
    Favourite

    Who's the Winner?

    Age
    14 to 16
    Challenge level

    When two closely matched teams play each other, what is the most likely result?

  • In a box
    problem
    Favourite

    In a Box

    Age
    14 to 16
    Challenge level

    Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

  • Same Number!
    problem
    Favourite

    Same Number!

    Age
    14 to 16
    Challenge level

    If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?

  • Mathsland National Lottery
    problem
    Favourite

    Mathsland National Lottery

    Age
    14 to 16
    Challenge level

    Can you work out the probability of winning the Mathsland National Lottery?

  • Odds and Evens made fair
    problem
    Favourite

    Odds and Evens Made Fair

    Age
    14 to 16
    Challenge level

    In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.

  • Which spinners?
    problem
    Favourite

    Which Spinners?

    Age
    14 to 18
    Challenge level

    Can you work out which spinners were used to generate the frequency charts?

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