Theoretical probability

  • Odds and Evens
    problem
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    Odds and Evens

    Age
    11 to 14
    Challenge level
    1 out of 3

    Are these games fair? How can you tell?

  • Interactive Spinners
    problem
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    Interactive Spinners

    Age
    11 to 14
    Challenge level
    1 out of 3

    This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.

  • What does random look like?
    problem
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    What Does Random Look Like?

    Age
    11 to 14
    Challenge level
    1 out of 3

    Engage in a little mathematical detective work to see if you can spot the fakes.

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

    Age
    11 to 14
    Challenge level
    1 out of 3

    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
    problem
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    Two's Company

    Age
    11 to 14
    Challenge level
    2 out of 3

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

  • Cosy corner
    problem
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    Cosy Corner

    Age
    11 to 14
    Challenge level
    2 out of 3

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

  • Chances are
    problem
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    Chances Are

    Age
    14 to 16
    Challenge level
    1 out of 3

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

  • The Better Choice
    problem
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    The Better Choice

    Age
    14 to 16
    Challenge level
    1 out of 3

    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
    1 out of 3

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

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    Who's the Winner?

    Age
    14 to 16
    Challenge level
    1 out of 3

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