# A discrete mathematics problem by Nicholas Tomlin

Five distinct numbers are randomly chosen from the set $$S = \{0,1,2,3,4,5,6,7,8,9\}$$ and multiplied. The likelihood that the product is even can be written as $$\frac{a}{b}$$, where $$a, b$$ are relatively prime positive integers. Find $$a + b$$.

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