Probability

  • Red or Black Spinner
    interactivity

    Red or black spinner

    Age
    3 to 16
    Challenge level
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    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
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    Is the regularity shown in this encoded message noise or structure?
  • Stage 5 Cipher Challenge
    problem

    Stage 5 cipher challenge

    Age
    16 to 18
    Challenge level
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    Can you crack these very difficult challenge ciphers? How might you systematise the cracking of unknown ciphers?
  • Which spinners?
    problem

    Which spinners?

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

    Statistical shorts

    Age
    11 to 16
    Challenge level
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    Can you decide whether these short statistical statements are always, sometimes or never true?
  • Peas in a pod
    problem

    Peas in a pod

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

    All change

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

    There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?

  • Who's the winner?
    problem

    Who's the winner?

    Age
    14 to 16
    Challenge level
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    When two closely matched teams play each other, what is the most likely result?
  • Distribution Differences
    problem

    Distribution differences

    Age
    14 to 16
    Challenge level
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    How could you compare different situation where something random happens ? What sort of things might be the same ? What might be different ?
  • Drug testing
    problem

    Drug testing

    Age
    16 to 18
    Challenge level
    filled star empty star empty star
    How do different drug-testing regimes affect the risks and payoffs for an athlete who chooses to take drugs?