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Black and White Marbles

Source:

January 5, 2007
probabilitynumber theoryrelatively prime

Problem Statement

Each of two boxes contains both black and white marbles, and the total number of marbles in the two boxes is 25.25. One marble is taken out of each box randomly. The probability that both marbles are black is 27/50,27/50, and the probability that both marbles are white is m/n,m/n, where mm and nn are relatively prime positive integers. What is m+n?m+n?
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