An Unfair Die

Level pending

An unfair 100 sided die is numbered from 1 to 100. The ratio of the probability of rolling \(x\) to the probability of rolling \(y\) is equal to the ratio of \(x\) to \(y\). The unfair die is rolled twice. The probability of rolling a multiple of 3 at least once is \(\frac{a}{b}\). What are the last three digits of \(a+b\)?

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