
Play this well-known game against the computer where each player is equally likely to choose scissors, paper or rock. Why not try the variations too?

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

Players all start with zero points, they take turns to throw the dice as many times as they like, adding the total at each throw to their cumulative total.

Which spinners were used to generate these frequency charts?

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

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. . . .

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?

Which of these ideas about randomness are actually correct?

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

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?

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?

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. . . .

If a coin rolls and lands on a set of concentric circles what is the chance that the coin touches a line ?

A gambler bets half the money in his pocket on the toss of a coin, winning an equal amount for a head and losing his money if the result is a tail. After 2n plays he has won exactly n times. Has. . . .
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?

When five dice are rolled together which do you expect to see more often, no sixes or all sixes ?
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.
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?

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?

By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.
Here are some examples of 'cons', and see if you can figure out where the trick is.

This tool allows you to create custom-specified random numbers, such as the total on three dice.

Use combinatoric probabilities to work out the probability that you are genetically unique!

Use trigonometry to determine how perfect a solar eclipse on earth can be.

Explore the distribution of molecular masses for various hydrocarbons

To win on a scratch card you have to uncover three numbers that add up to more than fifteen. What is the probability of winning a prize?

The four digits 5, 6, 7 and 8 are put at random in the spaces of the number : 3 _ 1 _ 4 _ 0 _ 9 2 Calculate the probability that the answer will be a multiple of 396.

You have two bags, four red balls and four white balls. You must put all the balls in the bags although you are allowed to have one bag empty. How should you distribute the balls between the two. . . .

Why MUST these statistical statements probably be at least a little bit wrong?