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

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?

Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...

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

Imagine you have a large supply of 3kg and 8kg weights. How many of each weight would you need for the average (mean) of the weights to be 6kg? What other averages could you have?

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

If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?

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

Which countries have the most naturally athletic populations?

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

In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.

How well can you estimate 10 seconds? Investigate with our timing tool.

Play around with sets of five numbers and see what you can discover about different types of average...