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Domino Match

Age 14 to 16
ShortChallenge Level Yellow starYellow starYellow star
Secondary curriculum
  • Problem
  • Solutions


A standard set of dominoes has numbers from 1 to 6, and blanks, arranged so that every number appears once with each other number, and once with itself (the doubles).

Two dominoes are chosen from the set at random. What is the probability that they 'match' - that is, that one end of one matches at least one end of the other?


You can find more short problems, arranged by curriculum topic, in our short problems collection.

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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.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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