Theoretical probability

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
The car that passes

Age

7 to 11

Challenge level

What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?
problem
In the playground

Age

5 to 11

Challenge level

What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?
problem
Probably...

Age

7 to 11

Challenge level

You'll need to work in a group for this problem. The idea is to decide, as a group, whether you agree or disagree with each statement.
problem
Winning the lottery

Age

7 to 11

Challenge level

Find out about the lottery that is played in a far-away land. What is the chance of winning?
problem
Mathsland national lottery

Age

14 to 16

Challenge level

Can you work out the probability of winning the Mathsland National Lottery?
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?
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
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
Succession in Randomia

Age

16 to 18

Challenge level

By tossing a coin one of three princes is chosen to be the next King of Randomia. Does each prince have an equal chance of taking the throne?