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Playing squash involves lots of mathematics. This article explores the mathematics of a squash match and how a knowledge of probability could influence the choices you make.

Succession in Randomia

Age 16 to 18 Challenge Level:

You can try an experiment to test this method but you will need to repeat the trials many times to reach any convincing conclusion. This would be a good class project.

A tree diagram will help you to analyse what happens. Try calculating the probabilities for 2, 3, 4, 5 and 6 ... tosses and see if you can identify a pattern emerging.

You could try to calculate the final probabilities. Theoretically the coin tossing can go on for ever so you will need to know a bit about summing an infinite series.