Domino Match

 Dominoes usually come in sets where the �highest� domino is either the �double 6� or the �double 9�. 

How many dominoes are there in each of these sets ? 

Choosing either of these sets as your starting point, imagine picking out two dominoes completely at random.  

The Problem :

 What is the probability that these two dominoes �match� � ie the end of one matches at least one of the ends of the other ?

If we call a set of dominoes whose highest is a �double 6� a �6-pack�, can you find the probability that any two dominoes taken from an �N-pack� will match ?

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Last modified: June 18, 2007