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### Number and algebra

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# Jluuis or Even Asutguus?

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### Snooker

### Snooker Frames

### Magic Caterpillars

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Age 16 to 18

Challenge Level

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

It is believed that weaker snooker players have a better chance of winning matches over eleven frames (i.e. first to win 6 frames) than they do over fifteen frames. Is this true?

Label the joints and legs of these graph theory caterpillars so that the vertex sums are all equal.