Probability

  • The Better Choice
    problem
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    The better choice

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

    Here are two games you can play. Which offers the better chance of winning?

  • Last one standing
    problem
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    Last one standing

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

    Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

  • problem
    Favourite

    Who's the winner?

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

    When two closely matched teams play each other, what is the most likely result?

  • Handling Data - Short Problems
    problem

    Boy or girl?

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

    Will the witch make a profit or loss?

  • Handling Data - Short Problems
    problem

    Odd dice

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    These strange dice are rolled. What is the probability that the sum obtained is an odd number?

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

    Marbles and bags

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    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?

  • In a box
    problem
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    In a box

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    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
    filled star filled star empty star
    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
    filled star filled star empty star
    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
    Favourite

    Same number!

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

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