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Nine or Ten?

Is a score of 9 more likely than a score of 10 when you roll three dice?

Racing Odds

In a race the odds are: 2 to 1 against the rhinoceros winning and 3 to 2 against the hippopotamus winning. What are the odds against the elephant winning if the race is fair?

Stop or Dare

All you need for this game is a pack of cards. While you play the game, think about strategies that will increase your chances of winning.

Non-transitive Dice

Age 11 to 14
Challenge Level
If Charlie picks the green die, what should Alison do?
If Charlie picks the red die, what should Alison do?
If Charlie picks the blue die, what should Alison do?
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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NRICH is part of the family of activities in the Millennium Mathematics Project.