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


The answer is 189.

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