Probability

  • At least one...
    problem
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    At Least One...

    Age
    11 to 14
    Challenge level
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    Imagine flipping a coin a number of times. Can you work out the probability you will get a head on at least one of the flips?

  • Two's company
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    Two's Company

    Age
    11 to 14
    Challenge level
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    Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

  • Cosy corner
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    Cosy Corner

    Age
    11 to 14
    Challenge level
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    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
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    Non-Transitive Dice

    Age
    11 to 14
    Challenge level
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    Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?

  • Statistical shorts
    problem
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    Statistical Shorts

    Age
    11 to 16
    Challenge level
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    Can you decide whether these short statistical statements are always, sometimes or never true?

  • A Connect Four game with red and yellow counters placed.
    problem
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    Connect Three

    Age
    11 to 16
    Challenge level
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    In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

  • Chances are
    problem
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    Chances Are

    Age
    14 to 16
    Challenge level
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    Which of these games would you play to give yourself the best possible chance of winning a prize?

  • The Better Choice
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    The Better Choice

    Age
    14 to 16
    Challenge level
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    Here are two games you can play. Which offers the better chance of winning?

  • Last one standing
    problem
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    Last One Standing

    Age
    14 to 16
    Challenge level
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    Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

  • problem
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    Who's the Winner?

    Age
    14 to 16
    Challenge level
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    When two closely matched teams play each other, what is the most likely result?