Probability

  • 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?

  • How Many Balls?
    problem

    How Many Balls?

    Age
    16 to 18
    Challenge level
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    A bag contains red and blue balls. You are told the probabilities of drawing certain combinations of balls. Find how many red and how many blue balls there are in the bag.

  • The wrong stats
    problem

    The Wrong Stats

    Age
    16 to 18
    Challenge level
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    Why MUST these statistical statements probably be at least a little bit wrong?

  • Succession in Randomia
    problem

    Succession in Randomia

    Age
    16 to 18
    Challenge level
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    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?

  • Is your DNA unique?
    problem

    Is Your DNA Unique?

    Age
    16 to 18
    Challenge level
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    Use combinatoric probabilities to work out the probability that you are genetically unique!

  • Dicey Dice
    problem

    Dicey Dice

    Age
    16 to 18
    Challenge level
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    Invent a set of three dice where each one is better than one of the others?

  • Dicey Decisions
    problem

    Dicey Decisions

    Age
    16 to 18
    Challenge level
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    Can you devise a fair scoring system when dice land edge-up or corner-up?

  • Drug testing
    problem

    Drug Testing

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