Theoretical probability

  • Can't find a coin?
    problem

    Can't Find a Coin?

    Age
    11 to 14
    Challenge level
    2 out of 3
    Can you generate a set of random results? Can you fool the random simulator?
  • Peas in a pod
    problem

    Peas in a Pod

    Age
    14 to 16
    Challenge level
    2 out of 3
    What is the chance this pea plant will look like its parents?
  • Squash
    problem

    Squash

    Age
    16 to 18
    Challenge level
    3 out of 3
    If the score is 8-8 do I have more chance of winning if the winner is the first to reach 9 points or the first to reach 10 points?
  • Two and One
    problem

    Two and One

    Age
    5 to 7
    Challenge level
    3 out of 3

    Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red?

  • problem

    In the Playground

    Age
    5 to 11
    Challenge level
    2 out of 3

    What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?

  • Tricky Track
    problem

    Tricky Track

    Age
    7 to 11
    Challenge level
    1 out of 3

    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
    1 out of 3

    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
    2 out of 3
    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
    2 out of 3

    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

    The Twelve Pointed Star Game

    Age
    7 to 11
    Challenge level
    2 out of 3

    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?