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

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