Probability

  • In a box
    problem
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    In a Box

    Age
    14 to 16
    Challenge level
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    Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

  • The Birthday Bet
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    The Birthday Bet

    Age
    14 to 16
    Challenge level
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    The next ten people coming into a store will be asked their birthday. If the prize is £20, would you bet £1 that two of these ten people will have the same birthday ?
  • Same Number!
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    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?

  • Mathsland National Lottery
    problem
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    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?

  • 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.

  • Which spinners?
    problem
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    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 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?

  • Teams
    problem
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    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.

  • Very old man
    problem
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    Very Old Man

    Age
    16 to 18
    Challenge level
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    Is the age of this very old man statistically believable?

  • Stats statements
    problem
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    Stats Statements

    Age
    16 to 18
    Challenge level
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    Are these statistical statements sometimes, always or never true? Or it is impossible to say?