Experimental probability

  • Probably...
    problem

    Probably...

    Age
    7 to 11
    Challenge level
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    You'll need to work in a group for this problem. The idea is to decide, as a group, whether you agree or disagree with each statement.

  • problem

    Winning the lottery

    Age
    7 to 11
    Challenge level
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    Find out about the lottery that is played in a far-away land. What is the chance of winning?

  • Mathsland National Lottery
    problem

    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?

  • Do you feel lucky?
    problem

    Do you feel lucky?

    Age
    11 to 14
    Challenge level
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    Some people offer advice on how to win at games of chance, or how to influence probability in your favour. Can you decide whether advice is good or not?

  • Same Number!
    problem

    Same number!

    Age
    14 to 16
    Challenge level
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    If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?

  • Last one standing
    problem

    Last one standing

    Age
    14 to 16
    Challenge level
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    Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

  • Sociable Cards
    problem

    Sociable cards

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

  • The Derren Brown coin flipping scam
    problem

    The Derren Brown coin flipping scam

    Age
    16 to 18
    Challenge level
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    Calculate probabilities associated with the Derren Brown coin scam in which he flipped 10 heads in a row.

  • X-Dice
    problem

    X-dice

    Age
    16 to 18
    Challenge level
    filled star filled star empty star
    Explore these X-dice with numbers other than 1 to 6 on their faces. Which one is best?
  • 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?