Experimental probability

problem
Do you feel lucky?

Age

11 to 14

Challenge level

Some people offer advice on how to win at games of chance, or how to influence probability in your favour. Can you decide whether advice is good or not?
problem
What does random look like?

Age

11 to 14

Challenge level

Engage in a little mathematical detective work to see if you can spot the fakes.
problem
Two's company

Age

11 to 14

Challenge level

Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
problem
Cosy corner

Age

11 to 14

Challenge level

Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
problem
Misunderstanding randomness

Age

11 to 14

Challenge level

Which of these ideas about randomness are actually correct?
problem
Statistical shorts

Age

11 to 16

Challenge level

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

11 to 16

Simple models which help us to investigate how epidemics grow and die out.
problem
Last one standing

Age

14 to 16

Challenge level

Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?
problem
Who's the winner?

Age

14 to 16

Challenge level

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

Age

14 to 16

Challenge level

If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?