Probability

  • Rain or Shine
    problem
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    Rain or Shine

    Age
    16 to 18
    Challenge level

    Predict future weather using the probability that tomorrow is wet given today is wet and the probability that tomorrow is wet given that today is dry.

  • Put Out
    problem
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    Put Out

    Age
    16 to 18
    Challenge level

    After transferring balls back and forth between two bags the probability of selecting a green ball from bag 2 is 3/5. How many green balls were in bag 2 at the outset?

  • Scale invariance
    problem
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    Scale Invariance

    Age
    16 to 18
    Challenge level
    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
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    Time to Evolve 2

    Age
    16 to 18
    Challenge level

    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
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    Probably a Code?

    Age
    16 to 18
    Challenge level

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

  • Chance Combinations
    problem

    Chance Combinations

    Age
    11 to 14
    Challenge level
    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
    Under which circumstances would you choose to play to 10 points in a game of squash which is currently tied at 8-all?
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