Probability

problem
Favourite

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.
problem

X-dice

Age

16 to 18

Challenge level

Explore these X-dice with numbers other than 1 to 6 on their faces. Which one is best?
problem

Ante up

Age

16 to 18

Challenge level

Use cunning to work out a strategy to win this game.
problem
Favourite

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?
problem
Favourite

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.
problem
Favourite

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?
problem

The Derren Brown coin flipping scam

Age

16 to 18

Challenge level

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

Any win for tennis?

Age

16 to 18

Challenge level

What are your chances of winning a game of tennis?
problem
Favourite

Probably a code?

Age

16 to 18

Challenge level

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