Theoretical 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 Derren Brown coin flipping scam
    problem

    The Derren Brown Coin Flipping Scam

    Age
    16 to 18
    Challenge level
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    Calculate probabilities associated with the Derren Brown coin scam in which he flipped 10 heads in a row.

  • Magic Bag
    problem

    Magic Bag

    Age
    16 to 18
    Challenge level
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    A weekly challenge concerning combinatorical probability.

  • The random world
    article

    The Random World

    Think that a coin toss is 50-50 heads or tails? Read on to appreciate the ever-changing and random nature of the world in which we live.

  • Taking Chances Extended
    article

    Taking Chances Extended

    This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance.

  • Playing Squash
    article

    Playing Squash

    Playing squash involves lots of mathematics. This article explores the mathematics of a squash match and how a knowledge of probability could influence the choices you make.