Probability

  • Fabric bag open at the top, showing a number of blue marbles.
    problem

    Marbles and Bags

    Age
    14 to 16
    Challenge level
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    Two bags contain different numbers of red and blue marbles. A marble is removed from one of the bags. The marble is blue. What is the probability that it was removed from bag A?

  • Thank your Lucky Stars
    problem

    Thank Your Lucky Stars

    Age
    14 to 16
    Challenge level
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    A counter is placed in the bottom right hand corner of a grid. You toss a coin and move the star according to the following rules: ... What is the probability that you end up in the top left-hand corner of the grid?

  • In a box
    problem
    Favourite

    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
    problem
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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 ?
  • Coin Lines
    problem

    Coin Lines

    Age
    14 to 16
    Challenge level
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    If a coin rolls and lands on a set of concentric circles what is the chance that the coin touches a line ?
  • Same Number!
    problem
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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?

  • 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?