Theoretical probability

  • Two and One
    problem

    Two and One

    Age
    5 to 7
    Challenge level
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    Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red?

  • Tricky Track
    problem

    Tricky Track

    Age
    7 to 11
    Challenge level
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    In this game you throw two dice and find their total, then move the appropriate counter to the right. Which counter reaches the purple box first?

  • Probably...
    problem

    Probably...

    Age
    7 to 11
    Challenge level
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    You'll need to work in a group for this problem. The idea is to decide, as a group, whether you agree or disagree with each statement.

  • Bipin's Choice
    problem

    Bipin's Choice

    Age
    7 to 11
    Challenge level
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    Bipin is in a game show and he has picked a red ball out of 10 balls. He wins a large sum of money, but can you use the information to decided what he should do next?
  • Trick or Treat
    problem

    Trick or Treat

    Age
    7 to 11
    Challenge level
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    Mrs. Smith had emptied packets of chocolate-covered mice, plastic frogs and gummi-worms into a cauldron for treats. What treat is Trixie most likely to pick out?
  • problem

    Winning the Lottery

    Age
    7 to 11
    Challenge level
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    Find out about the lottery that is played in a far-away land. What is the chance of winning?

  • A Bit of a Dicey problem
    problem

    A Bit of a Dicey Problem

    Age
    7 to 11
    Challenge level
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    When you throw two regular, six-faced dice you have more chance of getting one particular result than any other. What result would that be? Why is this?

  • A Brief History of Probability
    problem

    A Brief History of Probability

    Age
    11 to 14
    Challenge level
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    Can you help d'Alembert discover the probabilty of at least one head in two coin flips?