Probability

  • Sociable Cards
    problem
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    Sociable Cards

    Age
    11 to 14
    Challenge level
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    Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

  • Do you feel lucky?
    problem
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    Do You Feel Lucky?

    Age
    11 to 14
    Challenge level
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    Some people offer advice on how to win at games of chance, or how to influence probability in your favour. Can you decide whether advice is good or not?

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

    Age
    11 to 14
    Challenge level
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    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
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    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?

  • Handling Data - Short Problems
    problem

    Strange Dice

    Age
    11 to 14
    Challenge level
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    If two of these unusually numbered dice are thrown, how many different sums are possible?

  • Two's company
    problem
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    Two's Company

    Age
    11 to 14
    Challenge level
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    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
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    Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

  • Non-Transitive Dice
    problem
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    Non-Transitive Dice

    Age
    11 to 14
    Challenge level
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    Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?

  • Handling Data - Short Problems
    problem

    Nine or Ten?

    Age
    11 to 14
    Challenge level
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    Is a score of 9 more likely than a score of 10 when you roll three dice?