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Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

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Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

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

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

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If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?

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

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

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Can you work out the probability of winning the Mathsland National Lottery?

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Which countries have the most naturally athletic populations?

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

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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.

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

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Can you do a little mathematical detective work to figure out which number has been wiped out?

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