Probability

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

Can you crack these very difficult challenge ciphers? How might you systematise the cracking of unknown ciphers?

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

Can you decide whether these short statistical statements are always, sometimes or never true?

What is the chance this pea plant will look like its parents?

There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?

When two closely matched teams play each other, what is the most likely result?

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

How do different drug-testing regimes affect the risks and payoffs for an athlete who chooses to take drugs?

A problem about genetics and the transmission of disease.