![Placeholder: several colourful numbers](/themes/nrich/images/nrich_small_placeholder.png)
Tree diagrams
![Placeholder: several colourful numbers](/themes/nrich/images/nrich_small_placeholder.png)
![Do you brush your teeth every day?](/sites/default/files/styles/medium/public/thumbnails/content-id-13897-icon.png?itok=0kwSNxd4)
problem
Do you brush your teeth every day?
How can we find out answers to questions like this if people often lie?
![Placeholder: several colourful numbers](/themes/nrich/images/nrich_small_placeholder.png)
project
Investigating Epidemics
Simple models which help us to investigate how epidemics grow and die out.
![Which spinners?](/sites/default/files/styles/medium/public/thumbnails/content-id-6123-icon.jpg?itok=orBOhseL)
![Peas in a pod](/sites/default/files/styles/medium/public/thumbnails/content-id-7069-icon.png?itok=_BC0xItD)
![Who's the winner?](/sites/default/files/styles/medium/public/thumbnails/content-id-7478-icon.jpg?itok=XoQodd2o)
problem
Who's the winner?
When two closely matched teams play each other, what is the most likely result?
![Genetics](/sites/default/files/styles/medium/public/thumbnails/content-id-7427-icon.png?itok=R9KKelq5)
![Non-Transitive Dice](/sites/default/files/styles/medium/public/thumbnails/content-id-7541-icon.jpg?itok=fJByZDgA)
problem
Non-Transitive Dice
Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?
![Ante Up](/sites/default/files/styles/medium/public/thumbnails/content-id-7295-icon.png?itok=iwmHCoxK)
![At least one...](/sites/default/files/styles/medium/public/thumbnails/content-id-7286-icon.png?itok=J083AvXf)
problem
At least one...
Imagine flipping a coin a number of times. Can you work out the probability you will get a head on at least one of the flips?