Probability

  • Mathsland National Lottery
    problem
    Favourite

    Mathsland national lottery

    Age
    14 to 16
    Challenge level
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    Can you work out the probability of winning the Mathsland National Lottery?

  • Distribution Differences
    problem

    Distribution differences

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

  • Odds and Evens made fair
    problem
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    Odds and evens made fair

    Age
    14 to 16
    Challenge level
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    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.

  • Handling Data - Short Problems
    problem

    Winning marble

    Age
    14 to 16
    Challenge level
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    How can this prisoner escape?

  • Perfect Eclipse
    problem

    Perfect eclipse

    Age
    14 to 16
    Challenge level
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    Use trigonometry to determine whether solar eclipses on earth can be perfect.
  • Handling Data - Short Problems
    problem

    Dropouts

    Age
    14 to 16
    Challenge level
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    What percentage of students who graduate have never been to France?

  • Which spinners?
    problem
    Favourite

    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?

  • Snooker
    problem

    Snooker

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

  • Snooker Frames
    problem
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    Snooker frames

    Age
    16 to 18
    Challenge level
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    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?