Probability

  • Gambling at Monte Carlo
    problem

    Gambling at Monte Carlo

    Age
    14 to 16
    Challenge level
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    A man went to Monte Carlo to try and make his fortune. Is his strategy a winning one?

  • 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?

  • Voting Paradox
    problem

    Voting Paradox

    Age
    14 to 18
    Challenge level
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    Some relationships are transitive, such as 'if A>B and B>C then it follows that A>C', but some are not. In a voting system, if A beats B and B beats C should we expect A to beat C?

  • 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
    Favourite

    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?

  • Teams
    problem
    Favourite

    Teams

    Age
    16 to 18
    Challenge level
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    Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.