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Each month a new problem will be posted here.
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MP93
Problem for February 2010
The eleven members of the local football team gather at the pub after each game. Afterwards, they roll a pair of dice to determine who picks up the tab. Happily, the numbers on their jerseys run from 2 to 12, so the player whose jersey number matches the sum that shows on the dice pays the bill. But even a football player realizes that the eleven sums are not equally likely. Your task this month is to help make the process fair:
Describe how to load a pair of dice, one red, one green, so that every sum from 2 to 12 is equally likely, or prove that it is impossible.

Please note that in a solution to any math problem the explanation is all-important — every claim must be supported by some mathematical truth.
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Math Central
Student Development Centre
University of Regina
Regina, Saskatchewan
S4S 0A2 Canada |
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