Probability

  • Succession in Randomia
    problem

    Succession in Randomia

    Age
    16 to 18
    Challenge level
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    By tossing a coin one of three princes is chosen to be the next King of Randomia. Does each prince have an equal chance of taking the throne?

  • The wrong stats
    problem

    The wrong stats

    Age
    16 to 18
    Challenge level
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    Why MUST these statistical statements probably be at least a little bit wrong?
  • Time to evolve 2
    problem

    Time to evolve 2

    Age
    16 to 18
    Challenge level
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    How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
  • Stats statements
    problem

    Stats statements

    Age
    16 to 18
    Challenge level
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    Are these statistical statements sometimes, always or never true? Or it is impossible to say?
  • Coin Lines
    problem

    Coin lines

    Age
    14 to 16
    Challenge level
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    If a coin rolls and lands on a set of concentric circles what is the chance that the coin touches a line ?
  • Interactive Spinners
    problem

    Interactive spinners

    Age
    11 to 14
    Challenge level
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    This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
  • Can't find a coin?
    problem

    Can't find a coin?

    Age
    11 to 14
    Challenge level
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    Can you generate a set of random results? Can you fool the random simulator?
  • Three Spinners
    problem

    Three spinners

    Age
    7 to 11
    Challenge level
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    These red, yellow and blue spinners were each spun 45 times in total. Can you work out which numbers are on each spinner?
  • Scale invariance
    problem

    Scale invariance

    Age
    16 to 18
    Challenge level
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    By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.