Theoretical probability

  • Bipin's Choice
    problem

    Bipin's Choice

    Age
    7 to 11
    Challenge level
    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
    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

    Winning the Lottery

    Age
    7 to 11
    Challenge level

    Find out about the lottery that is played in a far-away land. What is the chance of winning?

  • A Bit of a Dicey problem
    problem

    A Bit of a Dicey Problem

    Age
    7 to 11
    Challenge level

    When you throw two regular, six-faced dice you have more chance of getting one particular result than any other. What result would that be? Why is this?

  • Football World Cup Simulation
    game

    Football World Cup Simulation

    Age
    7 to 16
    Challenge level
    A maths-based Football World Cup simulation for teachers and students to use.
  • A Brief History of Probability
    problem

    A Brief History of Probability

    Age
    11 to 14
    Challenge level

    Can you help d'Alembert discover the probabilty of at least one head in two coin flips?

  • Misunderstanding Randomness
    problem

    Misunderstanding Randomness

    Age
    11 to 14
    Challenge level
    Which of these ideas about randomness are actually correct?
  • Small tomato seedlings in yellow pots.
    problem

    Nine or Ten?

    Age
    11 to 14
    Challenge level

    Is a score of 9 more likely than a score of 10 when you roll three dice?

  • Fabric bag open at the top, showing a number of blue marbles.
    problem

    Marbles and Bags

    Age
    14 to 16
    Challenge level

    Two bags contain different numbers of red and blue marbles. A marble is removed from one of the bags. The marble is blue. What is the probability that it was removed from bag A?

  • Coin Tossing Games
    problem

    Coin Tossing Games

    Age
    14 to 16
    Challenge level

    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?

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