AMC 10 Step by Step
2012 AMC 10AProblem 9P1-10~2 minPrint

A pair of six-sided dice are labeled so that one die has only even numbers (two each of 22 , 44 , and 66 ), and the other die has only odd numbers (two each of 11 , 33 , and 55 ). The pair of dice is rolled. What is the probability that the sum of the numbers on the tops of the two dice is 77 ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.