Probability

  • Snooker Frames
    problem

    Snooker frames

    Age
    16 to 18
    Challenge level
    filled star empty star empty star
    It is believed that weaker snooker players have a better chance of winning matches over eleven frames (i.e. first to win 6 frames) than they do over fifteen frames. Is this true?
  • Snooker
    problem

    Snooker

    Age
    16 to 18
    Challenge level
    filled star empty star empty star
    A player has probability 0.4 of winning a single game. What is his probability of winning a 'best of 15 games' tournament?
  • Squash
    problem

    Squash

    Age
    16 to 18
    Challenge level
    filled star filled star filled star
    If the score is 8-8 do I have more chance of winning if the winner is the first to reach 9 points or the first to reach 10 points?
  • Knock-out
    problem

    Knock-out

    Age
    16 to 18
    Challenge level
    filled star filled star empty star
    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?
  • Rain or Shine
    problem

    Rain or shine

    Age
    16 to 18
    Challenge level
    filled star filled star empty star
    Predict future weather using the probability that tomorrow is wet given today is wet and the probability that tomorrow is wet given that today is dry.
  • Roll these Dice
    problem

    Roll these dice

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

    Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

  • An Introduction to Tree Diagrams
    article

    An introduction to tree diagrams

    This article explains how tree diagrams are constructed and helps you to understand how they can be used to calculate probabilities.
  • From A Random World to a Rational Universe
    article

    From a random world to a rational universe

    In the time before the mathematical idea of randomness was discovered, people thought that everything that happened was part of the will of supernatural beings. So have things changed?