There are two boxes which contain both black and white marbles. The total number of marbles in the two boxes is **25**. When one marble is taken out of each box randomly, the probability that both marbles are black is \( \frac{27}{50} \) ,
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When one marble is taken out of each box randomly, the probability that both marbles are white is \( \frac{m}{n} \), where \(m\) and \(n\) are relatively prime positive integers. What is \(m+n \)?

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