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WASHINGTON
STATE MATHEMATICS COUNCIL 2000
MIDDLE SCHOOL MATH OLYMPIAD Session I SEVENTH GRADE
PROBLEM SOLVING |
7 |
The Tiles Game
Lindsay
has three bags with tiles in them. Each
bag has six tiles which are numbered 1, 2, 3, 4, 5, and 6, as shown below. Lindsay reaches into each bag and randomly
draws out one tile. 
Lindsay adds up the two largest numbers. So, for instance, if she drew tiles that
were 4, 3, and 2, she would add up the 4 and 3 to get 7. If she drew tiles that were 4, 2, and 2, she
would add up the 4 and 2 to get 6. 
The problem is to figure out what the
probability is of getting a 7 in
this kind of game, in which you add the top two of three tiles drawn. 
Show us your
work. The people who read your paper are
looking at: