AMC 10 Step by Step
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2005 AMC 10BProblem 9P1-10~2 minPrint
Basic ProbabilityNumber PropertiesSplit into exhaustive cases and handle eachUse an invariant, parity, or coloring argument

One fair die has faces 1,1,2,2,3,31, 1, 2, 2, 3, 3 and another has faces 4,4,5,5,6,6.4, 4, 5, 5, 6, 6. The dice are rolled and the numbers on the top faces are added. What is the probability that the sum will be odd?

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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.