Tree diagrams

problem
Do you brush your teeth every day?

Age

14 to 18

Challenge level

How can we find out answers to questions like this if people often lie?
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?
problem
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
Ante up

Age

16 to 18

Challenge level

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