Probability

  • Rain or Shine
    problem

    Rain or shine

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

    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.

  • X-Dice
    problem

    X-dice

    Age
    16 to 18
    Challenge level
    filled star filled star empty star
    Explore these X-dice with numbers other than 1 to 6 on their faces. Which one is best?
  • Ante Up
    problem

    Ante up

    Age
    16 to 18
    Challenge level
    filled star filled star empty star
    Use cunning to work out a strategy to win this game.
  • Put Out
    problem

    Put out

    Age
    16 to 18
    Challenge level
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    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

    Scale invariance

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

    Time to evolve 2

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

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

  • The Derren Brown coin flipping scam
    problem

    The Derren Brown coin flipping scam

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

    Calculate probabilities associated with the Derren Brown coin scam in which he flipped 10 heads in a row.

  • Any win for tennis?
    problem

    Any win for tennis?

    Age
    16 to 18
    Challenge level
    filled star filled star filled star
    What are your chances of winning a game of tennis?
  • Probably a code?
    problem

    Probably a code?

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

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