Anna and Becky put one purple cube and two yellow cubes into a bag to play a game. Is the game fair? Explain your answer.

This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance and is a shorter version of Taking Chances Extended.

Bipin is in a game show and he has picked a red ball out of 10 balls. He wins a large sum of money, but can you use the information to decided what he should do next?

This package contains environments that offer students the opportunity to move beyond an intuitive understanding of probability. The problems at the start will suit relative beginners to the topic;. . . .

Can you work out which spinners were used to generate the frequency charts?

Mrs. Smith had emptied packets of chocolate-covered mice, plastic frogs and gummi-worms into a cauldron for treats. What treat is Trixie most likely to pick out?

You'll need to work in a group for this problem. The idea is to decide, as a group, whether you agree or disagree with each statement.

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

Which of these ideas about randomness are actually correct?

When two closely matched teams play each other, what is the most likely result?

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

Can you design your own probability scale?

How do you describe the different parts?

Identical discs are flipped in the air. You win if all of the faces show the same colour. Can you calculate the probability of winning with n discs?

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.

Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?

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. . . .

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?

Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

Six balls of various colours are randomly shaken into a trianglular arrangement. What is the probability of having at least one red in the corner?

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

7 balls are shaken in a container. You win if the two blue balls touch. What is the probability of winning?

Can you work out the probability of winning the Mathsland National Lottery? Try our simulator to test out your ideas.

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?

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?

Engage in a little mathematical detective work to see if you can spot the fakes.

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.

Try out the lottery that is played in a far-away land. What is the chance of winning?

In this game you throw two dice and find their total, then move the appropriate counter to the right. Which counter reaches the purple box first? Is this what you would expect?

Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?

Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?

A maths-based Football World Cup simulation for teachers and students to use.

When you throw two regular, six-faced dice you have more chance of getting one particular result than any other. What result would that be? Why is this?

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possibilities that could come up?

What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?

What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?