Theoretical probability

  • 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.
  • 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.
  • 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.
  • Genetics
    problem

    Genetics

    Age
    14 to 16
    Challenge level
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    A problem about genetics and the transmission of disease.
  • Knock-out
    problem

    Knock-out

    Age
    16 to 18
    Challenge level
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    Before a knockout tournament with 2^n players I pick two players. What is the probability that they have to play against each other at some point in the tournament?
  • Coin Tossing Games
    problem

    Coin tossing games

    Age
    14 to 16
    Challenge level
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    You and I play a game involving successive throws of a fair coin. Suppose I pick HH and you pick TH. The coin is thrown repeatedly until we see either two heads in a row (I win) or a tail followed by a head (you win). What is the probability that you win?