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?
  • problem
    Favourite

    In the Playground

    Age
    5 to 11
    Challenge level
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    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
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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.

  • problem
    Favourite

    The Car That Passes

    Age
    7 to 11
    Challenge level
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    What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?

  • Roll these Dice
    problem
    Favourite

    Roll These Dice

    Age
    7 to 11
    Challenge level
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    Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

  • 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
    Favourite

    Same or Different?

    Age
    7 to 11
    Challenge level
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    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
    Favourite

    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?