# An Unfair Die

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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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