Working systematically
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problemThe Tour De Clochemerle
Can you work out where these 5 riders came in a not-quite-so-famous bike race?
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problemThe ELISA Test
In 1% of cases, an HIV test gives a positive result for someone who is HIV negative. How likely is it that someone who tests positive has HIV?
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problemFavouriteTake a Message Soldier
A messenger runs from the rear to the head of a marching column and back. When he gets back, the rear is where the head was when he set off. What is the ratio of his speed to that of the column?
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problemConstellation Sudoku
Special clue numbers related to the difference between numbers in two adjacent cells and values of the stars in the "constellation" make this a doubly interesting problem.
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problemMatching Criminals
DNA profiling is an invaluable tool for the police. However, when it comes to probability, things aren't always as straightforward as they seem.
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problemA Long Time at the Till
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?
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articleImpuzzable
This is about a fiendishly difficult jigsaw and how to solve it using a computer program.
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problemSnooker
A player has probability 0.4 of winning a single game. What is his probability of winning a 'best of 15 games' tournament?
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problemFavouriteSnooker Frames
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?