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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

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# FA Cup

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Age 16 to 18

Challenge Level

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This requires an understanding of the simple rules of probability and a lot of calculating with fractions.

Predict future weather using the probability that tomorrow is wet given today is wet and the probability that tomorrow is wet given that today is dry.

Before a knockout tournament with 2^n players I pick two players. What is the probability that they have to play against each other at some point in the tournament?

If the score is 8-8 do I have more chance of winning if the winner is the first to reach 9 points or the first to reach 10 points?