Theoretical probability

  • Last one standing
    problem

    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

    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?

  • 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

    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

    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 ?
  • Same Number!
    problem

    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?

  • Mathsland National Lottery
    problem

    Mathsland national lottery

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

    Can you work out the probability of winning the Mathsland National Lottery?

  • Distribution Differences
    problem

    Distribution differences

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

    How could you compare different situations where something random happens? What sort of things might be the same? What might be different?

  • Which spinners?
    problem

    Which spinners?

    Age
    14 to 18
    Challenge level
    filled star empty star empty star

    Can you work out which spinners were used to generate the frequency charts?

  • Snooker
    problem

    Snooker

    Age
    16 to 18
    Challenge level
    filled star empty star empty star

    A player has probability 0.4 of winning a single game. What is his probability of winning a 'best of 15 games' tournament?