Which of these ideas about randomness are actually correct?

Four fair dice are marked differently on their six faces. Choose first ANY one of them. I can always choose another that will give me a better chance of winning. Investigate.

Can you generate a set of random results? Can you fool the random simulator?

What are the likelihoods of different events when you roll a dice?

The beginnings of understanding probability begin much earlier than you might think...

This article, written by Nicky Goulder and Samantha Lodge, reveals how maths and marimbas can go hand-in-hand! Why not try out some of the musical maths activities in your own classroom?

Can you design your own probability scale?

How do you describe the different parts?

This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.

Explain why it is that when you throw two dice you are more likely to get a score of 9 than of 10. What about the case of 3 dice? Is a score of 9 more likely then a score of 10 with 3 dice?

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?

All you need for this game is a pack of cards. While you play the game, think about strategies that will increase your chances of winning.

Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?

A simple spinner that is equally likely to land on Red or Black. Useful if tossing a coin, dropping it, and rummaging about on the floor have lost their appeal. Needs a modern browser; if IE then at. . . .

Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?

The King showed the Princess a map of the maze and the Princess was allowed to decide which room she would wait in. She was not allowed to send a copy to her lover who would have to guess which path. . . .

In a race the odds are: 2 to 1 against the rhinoceros winning and 3 to 2 against the hippopotamus winning. What are the odds against the elephant winning if the race is fair?

This article explains how tree diagrams are constructed and helps you to understand how they can be used to calculate probabilities.

Bluey-green, white and transparent squares with a few odd bits of shapes around the perimeter. But, how many squares are there of each type in the complete circle? Study the picture and make. . . .

Think that a coin toss is 50-50 heads or tails? Read on to appreciate the ever-changing and random nature of the world in which we live.

In the time before the mathematical idea of randomness was discovered, people thought that everything that happened was part of the will of supernatural beings. So have things changed?

Here are some examples of 'cons', and see if you can figure out where the trick is.

These red, yellow and blue spinners were each spun 45 times in total. Can you work out which numbers are on each spinner?

Uncertain about the likelihood of unexpected events? You are not alone!

Explore this interactivity and see if you can work out what it does. Could you use it to estimate the area of a shape?

Fancy a game of cricket? Here is a mathematical version you can play indoors without breaking any windows.