Probability

  • FA Cup
    problem
    Favourite

    Fa Cup

    Age
    16 to 18
    Challenge level
    3 out of 3

    In four years 2001 to 2004 Arsenal have been drawn against Chelsea in the FA cup and have beaten Chelsea every time. What was the probability of this? Lots of fractions in the calculations!

  • Scale invariance
    problem
    Favourite

    Scale Invariance

    Age
    16 to 18
    Challenge level
    3 out of 3

    By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.

  • Time to evolve 2
    problem
    Favourite

    Time to Evolve 2

    Age
    16 to 18
    Challenge level
    3 out of 3

    How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?

  • Probably a code?
    problem
    Favourite

    Probably a Code?

    Age
    16 to 18
    Challenge level
    3 out of 3

    Is the regularity shown in this encoded message noise or structure?

  • Chance Combinations
    problem

    Chance Combinations

    Age
    11 to 14
    Challenge level
    1 out of 3
    Can you design a bingo board that gives you the best chance of winning?
  • What's the point of squash?
    problem

    What's the Point of Squash?

    Age
    14 to 18
    Challenge level
    1 out of 3
    Under which circumstances would you choose to play to 10 points in a game of squash which is currently tied at 8-all?
  • Genetics
    problem

    Genetics

    Age
    14 to 16
    Challenge level
    1 out of 3
    A problem about genetics and the transmission of disease.