Tree diagrams

  • Rain or Shine
    problem
    Favourite

    Rain or Shine

    Age
    16 to 18
    Challenge level

    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.

  • Genetics
    problem

    Genetics

    Age
    14 to 16
    Challenge level
    A problem about genetics and the transmission of disease.
  • Peas in a pod
    problem

    Peas in a Pod

    Age
    14 to 16
    Challenge level
    What is the chance this pea plant will look like its parents?
  • Squash
    problem

    Squash

    Age
    16 to 18
    Challenge level
    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?
  • Master Minding
    problem

    Master Minding

    Age
    11 to 14
    Challenge level

    Your partner chooses two beads and places them side by side behind a screen. What is the minimum number of guesses you would need to be sure of guessing the two beads and their positions?

  • Small tomato seedlings in yellow pots.
    problem

    Odd Dice

    Age
    14 to 16
    Challenge level

    These strange dice are rolled. What is the probability that the sum obtained is an odd number?

  • Small tomato seedlings in yellow pots.
    problem

    Winning Marble

    Age
    14 to 16
    Challenge level

    How can this prisoner escape?

  • Small tomato seedlings in yellow pots.
    problem

    Dropouts

    Age
    14 to 16
    Challenge level

    What percentage of students who graduate have never been to France?

  • Succession in Randomia
    problem

    Succession in Randomia

    Age
    16 to 18
    Challenge level

    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?

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