Probability

  • Two's company
    problem

    Two's company

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

  • Cosy corner
    problem

    Cosy corner

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

  • Non-Transitive Dice
    problem

    Non-transitive dice

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?

  • Handling Data - Short Problems
    problem

    Nine or ten?

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Is a score of 9 more likely than a score of 10 when you roll three dice?

  • Statistical shorts
    problem

    Statistical shorts

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    Can you decide whether these short statistical statements are always, sometimes or never true?

  • project

    Investigating epidemics

    11 to 16
    filled star empty star empty star

    Simple models which help us to investigate how epidemics grow and die out.

  • Connect Three
    problem

    Connect three

    Age
    11 to 16
    Challenge level
    filled star filled star empty star

    In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

  • Five coloured cubes forming the edges of a pentagon.
    problem

    Penta colour

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

    In how many different ways can I colour the five edges of a pentagon so that no two adjacent edges are the same colour?

  • Chances are
    problem

    Chances are

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

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