Working systematically

DNA profiling is an invaluable tool for the police. However, when it comes to probability, things aren't always as straightforward as they seem.

Try to solve this very difficult problem and then study our two suggested solutions. How would you use your knowledge to try to solve variants on the original problem?

A player has probability 0.4 of winning a single game. What is his probability of winning a 'best of 15 games' tournament?

Can you use numerical methods to solve this equation to 1 decimal place?

In this short challenge, can you use angle properties in a circle to figure out some trig identities?

An arithmetic progression is shifted and shortened, but its sum remains the same...

How did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

Can you rotate a curve to make a volume of 1?

A function pyramid is a structure where each entry in the pyramid is determined by the two entries below it. Can you figure out how the pyramid is generated?

Explore the strange geometrical properties of the Koch Snowflake.