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?
How can this prisoner escape?
This article explains how tree diagrams are constructed and helps you to understand how they can be used to calculate probabilities.
If the score is 8-8 do I have more chance of winning if the winner is the first to reach 9 points or the first to reach 10 points?
Playing squash involves lots of mathematics. This article explores the mathematics of a squash match and how a knowledge of probability could influence the choices you make.
Can you work out which spinners were used to generate the frequency charts?
If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?
When two closely matched teams play each other, what is the most likely result?
What is the chance I will have a son who looks like me?
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.
Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?
Which of these games would you play to give yourself the best possible chance of winning a prize?
These strange dice are rolled. What is the probability that the sum obtained is an odd number?
A problem about genetics and the transmission of disease.
Use cunning to work out a strategy to win this game.
What percentage of students who graduate have never been to France?
Simple models which help us to investigate how epidemics grow and die out.
How can we find out answers to questions like this if people often lie?