Experimental probability

  • Game of PIG - Sixes
    game

    Game of PIG - sixes

    Age
    7 to 18
    Challenge level
    filled star empty star empty star

    Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?

  • Odds and Evens made fair
    problem

    Odds and evens made fair

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.
  • Red or Black Spinner
    interactivity

    Red or black spinner

    Age
    3 to 16
    Challenge level
    filled star empty star empty star
    A simple spinner that is equally likely to land on Red or Black. Useful if tossing a coin, dropping it, and rummaging about on the floor have lost their appeal. Needs a modern browser; if IE then at least version 9.
  • Probably a code?
    problem

    Probably a code?

    Age
    16 to 18
    Challenge level
    filled star filled star filled star
    Is the regularity shown in this encoded message noise or structure?
  • Which spinners?
    problem

    Which spinners?

    Age
    14 to 18
    Challenge level
    filled star empty star empty star
    Can you work out which spinners were used to generate the frequency charts?
  • Statistical shorts
    problem

    Statistical shorts

    Age
    11 to 16
    Challenge level
    filled star empty star empty star
    Can you decide whether these short statistical statements are always, sometimes or never true?
  • Who's the winner?
    problem

    Who's the winner?

    Age
    14 to 16
    Challenge level
    filled star empty star empty star
    When two closely matched teams play each other, what is the most likely result?
  • What does random look like?
    problem

    What does random look like?

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    Engage in a little mathematical detective work to see if you can spot the fakes.
  • problem

    The car that passes

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?