Difference between revisions of "2006 AIME A Problems/Problem 5"
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== See also == | == See also == | ||
*[[2006 AIME II Problems]] | *[[2006 AIME II Problems]] | ||
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| + | [[Category:Intermediate Combinatorics Problems]] | ||
Revision as of 10:36, 16 July 2006
Problem
When rolling a certain unfair six-sided die with faces numbered 1, 2, 3, 4, 5, and 6, the probability of obtaining face 
is greater than 1/6, the probability of obtaining the face opposite is less than 1/6, the probability of obtaining any one of the other four faces is 1/6, and the sum of the numbers on opposite faces is 7. When two such dice are rolled, the probability of obtaining a sum of 7 is 47/288. Given that the probability of obtaining face is 
where 
and 
are relatively prime positive integers, find 
