Theoretical probability

  • Bipin's Choice
    problem

    Bipin's choice

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

    Same or different?

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

    Anna and Becky put one purple cube and two yellow cubes into a bag to play a game. Is the game fair? Explain your answer.

  • problem

    The twelve pointed star game

    Age
    7 to 11
    Challenge level
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    Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?

  • It's a Tie
    problem

    It's a tie

    Age
    7 to 11
    Challenge level
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    Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?
  • problem

    Winning the lottery

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

    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
    filled star filled star filled star

    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?

  • Flippin' discs
    problem

    Flippin' discs

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

    Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?