Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red?

Use the interactivity or play this dice game yourself. How could you make it fair?

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?

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?

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?

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

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

So which is the better bet? Both games cost £1 to play. Getting two heads and two tails for £3 or £2 for every six when three dice are rolled.

The next ten people coming into a store will be asked their birthday. If the prize is £20, would you bet £1 that two of these ten people will have the same birthday ?

Heads or Tails - the prize doubles until you win it. How much would you pay to play?

Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.

How do scores on dice and factors of polynomials relate to each other?

Given the mean and standard deviation of a set of marks, what is the greatest number of candidates who could have scored 100%?

Particularly good explanations to this problem were sent from Danny, Shubha and Abhijit.

Katie scanned in her solution to this problem. Perhaps you might like to do the same for this month's problems.

Hannah sent in a very succinct solution to this problem which uses the Fibonacci sequence. What else can you find out about this sequence of numbers?

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?

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.

The first of two articles for teachers explaining how to include talk in maths presentations.

This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance.

Working with recursion. What is going on how does each iteration feen into the next? All within a geometric setting.